quad.c File Reference

#include "quad.h"
#include "quad-permu.h"

Go to the source code of this file.

Macros
#define	_F(n)
#define	FALSE   0
#define	TRUE   1
#define	Length(wts)

Variables
static double	QUAD_1D_P1_wts []
static double	QUAD_1D_P1_pts [(sizeof(QUAD_1D_P1_wts)/(sizeof(QUAD_1D_P1_wts[0]))) *2]
QUAD	QUAD_1D_P1_
static double	QUAD_1D_P3_wts []
static double	QUAD_1D_P3_pts [(sizeof(QUAD_1D_P3_wts)/(sizeof(QUAD_1D_P3_wts[0]))) *2]
QUAD	QUAD_1D_P3_
static double	QUAD_1D_P5_wts []
static double	QUAD_1D_P5_pts [(sizeof(QUAD_1D_P5_wts)/(sizeof(QUAD_1D_P5_wts[0]))) *2]
QUAD	QUAD_1D_P5_
static double	QUAD_1D_P7_wts []
static double	QUAD_1D_P7_pts [(sizeof(QUAD_1D_P7_wts)/(sizeof(QUAD_1D_P7_wts[0]))) *2]
QUAD	QUAD_1D_P7_
static double	QUAD_1D_P9_wts []
static double	QUAD_1D_P9_pts [(sizeof(QUAD_1D_P9_wts)/(sizeof(QUAD_1D_P9_wts[0]))) *2]
QUAD	QUAD_1D_P9_
static double	QUAD_1D_P11_wts []
static double	QUAD_1D_P11_pts [(sizeof(QUAD_1D_P11_wts)/(sizeof(QUAD_1D_P11_wts[0]))) *2]
QUAD	QUAD_1D_P11_
static double	QUAD_1D_P13_wts []
static double	QUAD_1D_P13_pts [(sizeof(QUAD_1D_P13_wts)/(sizeof(QUAD_1D_P13_wts[0]))) *2]
QUAD	QUAD_1D_P13_
static double	QUAD_1D_P15_wts []
static double	QUAD_1D_P15_pts [(sizeof(QUAD_1D_P15_wts)/(sizeof(QUAD_1D_P15_wts[0]))) *2]
QUAD	QUAD_1D_P15_
static double	QUAD_1D_P17_wts []
static double	QUAD_1D_P17_pts [(sizeof(QUAD_1D_P17_wts)/(sizeof(QUAD_1D_P17_wts[0]))) *2]
QUAD	QUAD_1D_P17_
static double	QUAD_1D_P19_wts []
static double	QUAD_1D_P19_pts [(sizeof(QUAD_1D_P19_wts)/(sizeof(QUAD_1D_P19_wts[0]))) *2]
QUAD	QUAD_1D_P19_
static double	QUAD_1D_P21_wts []
static double	QUAD_1D_P21_pts [(sizeof(QUAD_1D_P21_wts)/(sizeof(QUAD_1D_P21_wts[0]))) *2]
QUAD	QUAD_1D_P21_
static double	QUAD_2D_P1_wts []
static double	QUAD_2D_P1_pts [(sizeof(QUAD_2D_P1_wts)/(sizeof(QUAD_2D_P1_wts[0]))) *3]
QUAD	QUAD_2D_P1_
static double	QUAD_2D_P2_wts []
static double	QUAD_2D_P2_pts [(sizeof(QUAD_2D_P2_wts)/(sizeof(QUAD_2D_P2_wts[0]))) *3]
QUAD	QUAD_2D_P2_
static double	QUAD_2D_P3_wts []
static double	QUAD_2D_P3_pts [(sizeof(QUAD_2D_P3_wts)/(sizeof(QUAD_2D_P3_wts[0]))) *3]
QUAD	QUAD_2D_P3_
static double	QUAD_2D_P4_wts []
static double	QUAD_2D_P4_pts [(sizeof(QUAD_2D_P4_wts)/(sizeof(QUAD_2D_P4_wts[0]))) *3]
QUAD	QUAD_2D_P4_
static double	QUAD_2D_P5_wts []
static double	QUAD_2D_P5_pts [(sizeof(QUAD_2D_P5_wts)/(sizeof(QUAD_2D_P5_wts[0]))) *3]
QUAD	QUAD_2D_P5_
static double	QUAD_2D_P6_wts []
static double	QUAD_2D_P6_pts [(sizeof(QUAD_2D_P6_wts)/(sizeof(QUAD_2D_P6_wts[0]))) *3]
QUAD	QUAD_2D_P6_
static double	QUAD_2D_P7_wts []
static double	QUAD_2D_P7_pts [(sizeof(QUAD_2D_P7_wts)/(sizeof(QUAD_2D_P7_wts[0]))) *3]
QUAD	QUAD_2D_P7_
static double	QUAD_2D_P8_wts []
static double	QUAD_2D_P8_pts [(sizeof(QUAD_2D_P8_wts)/(sizeof(QUAD_2D_P8_wts[0]))) *3]
QUAD	QUAD_2D_P8_
static double	QUAD_2D_P9_wts []
static double	QUAD_2D_P9_pts [(sizeof(QUAD_2D_P9_wts)/(sizeof(QUAD_2D_P9_wts[0]))) *3]
QUAD	QUAD_2D_P9_
static double	QUAD_2D_P10_wts []
static double	QUAD_2D_P10_pts [(sizeof(QUAD_2D_P10_wts)/(sizeof(QUAD_2D_P10_wts[0]))) *3]
QUAD	QUAD_2D_P10_
static double	QUAD_2D_P11_wts []
static double	QUAD_2D_P11_pts [(sizeof(QUAD_2D_P11_wts)/(sizeof(QUAD_2D_P11_wts[0]))) *3]
QUAD	QUAD_2D_P11_
static double	QUAD_2D_P12_wts []
static double	QUAD_2D_P12_pts [(sizeof(QUAD_2D_P12_wts)/(sizeof(QUAD_2D_P12_wts[0]))) *3]
QUAD	QUAD_2D_P12_
static double	QUAD_2D_P13_wts []
static double	QUAD_2D_P13_pts [(sizeof(QUAD_2D_P13_wts)/(sizeof(QUAD_2D_P13_wts[0]))) *3]
QUAD	QUAD_2D_P13_
static double	QUAD_2D_P14_wts []
static double	QUAD_2D_P14_pts [(sizeof(QUAD_2D_P14_wts)/(sizeof(QUAD_2D_P14_wts[0]))) *3]
QUAD	QUAD_2D_P14_
static double	QUAD_2D_P15_wts []
static double	QUAD_2D_P15_pts [(sizeof(QUAD_2D_P15_wts)/(sizeof(QUAD_2D_P15_wts[0]))) *3]
QUAD	QUAD_2D_P15_
static double	QUAD_2D_P16_wts []
static double	QUAD_2D_P16_pts [(sizeof(QUAD_2D_P16_wts)/(sizeof(QUAD_2D_P16_wts[0]))) *3]
QUAD	QUAD_2D_P16_
static double	QUAD_2D_P17_wts []
static double	QUAD_2D_P17_pts [(sizeof(QUAD_2D_P17_wts)/(sizeof(QUAD_2D_P17_wts[0]))) *3]
QUAD	QUAD_2D_P17_
static double	QUAD_2D_P18_wts []
static double	QUAD_2D_P18_pts [(sizeof(QUAD_2D_P18_wts)/(sizeof(QUAD_2D_P18_wts[0]))) *3]
QUAD	QUAD_2D_P18_
static double	QUAD_2D_P19_wts []
static double	QUAD_2D_P19_pts [(sizeof(QUAD_2D_P19_wts)/(sizeof(QUAD_2D_P19_wts[0]))) *3]
QUAD	QUAD_2D_P19_
static double	QUAD_2D_P20_wts []
static double	QUAD_2D_P20_pts [(sizeof(QUAD_2D_P20_wts)/(sizeof(QUAD_2D_P20_wts[0]))) *3]
QUAD	QUAD_2D_P20_
static double	QUAD_2D_P21_wts []
static double	QUAD_2D_P21_pts [(sizeof(QUAD_2D_P21_wts)/(sizeof(QUAD_2D_P21_wts[0]))) *3]
QUAD	QUAD_2D_P21_
static double	QUAD_2D_P22_wts []
static double	QUAD_2D_P22_pts [(sizeof(QUAD_2D_P22_wts)/(sizeof(QUAD_2D_P22_wts[0]))) *3]
QUAD	QUAD_2D_P22_
static double	QUAD_2D_P23_wts []
static double	QUAD_2D_P23_pts [(sizeof(QUAD_2D_P23_wts)/(sizeof(QUAD_2D_P23_wts[0]))) *3]
QUAD	QUAD_2D_P23_
static double	QUAD_2D_P24_wts []
static double	QUAD_2D_P24_pts [(sizeof(QUAD_2D_P24_wts)/(sizeof(QUAD_2D_P24_wts[0]))) *3]
QUAD	QUAD_2D_P24_
static double	QUAD_2D_P25_wts []
static double	QUAD_2D_P25_pts [(sizeof(QUAD_2D_P25_wts)/(sizeof(QUAD_2D_P25_wts[0]))) *3]
QUAD	QUAD_2D_P25_
static double	QUAD_2D_P26_wts []
static double	QUAD_2D_P26_pts [(sizeof(QUAD_2D_P26_wts)/(sizeof(QUAD_2D_P26_wts[0]))) *3]
QUAD	QUAD_2D_P26_
static double	QUAD_2D_P27_wts []
static double	QUAD_2D_P27_pts [(sizeof(QUAD_2D_P27_wts)/(sizeof(QUAD_2D_P27_wts[0]))) *3]
QUAD	QUAD_2D_P27_
static double	QUAD_2D_P28_wts []
static double	QUAD_2D_P28_pts [(sizeof(QUAD_2D_P28_wts)/(sizeof(QUAD_2D_P28_wts[0]))) *3]
QUAD	QUAD_2D_P28_
static double	QUAD_2D_P29_wts []
static double	QUAD_2D_P29_pts [(sizeof(QUAD_2D_P29_wts)/(sizeof(QUAD_2D_P29_wts[0]))) *3]
QUAD	QUAD_2D_P29_
static double	QUAD_3D_P1_wts []
static double	QUAD_3D_P1_pts [(sizeof(QUAD_3D_P1_wts)/(sizeof(QUAD_3D_P1_wts[0]))) *4]
QUAD	QUAD_3D_P1_
static double	QUAD_3D_P2_wts []
static double	QUAD_3D_P2_pts [(sizeof(QUAD_3D_P2_wts)/(sizeof(QUAD_3D_P2_wts[0]))) *4]
QUAD	QUAD_3D_P2_
static double	QUAD_3D_P3_wts []
static double	QUAD_3D_P3_pts [(sizeof(QUAD_3D_P3_wts)/(sizeof(QUAD_3D_P3_wts[0]))) *4]
QUAD	QUAD_3D_P3_
static double	QUAD_3D_P4_wts []
static double	QUAD_3D_P4_pts [(sizeof(QUAD_3D_P4_wts)/(sizeof(QUAD_3D_P4_wts[0]))) *4]
QUAD	QUAD_3D_P4_
static double	QUAD_3D_P5_wts []
static double	QUAD_3D_P5_pts [(sizeof(QUAD_3D_P5_wts)/(sizeof(QUAD_3D_P5_wts[0]))) *4]
QUAD	QUAD_3D_P5_
static double	QUAD_3D_P6_wts []
static double	QUAD_3D_P6_pts [(sizeof(QUAD_3D_P6_wts)/(sizeof(QUAD_3D_P6_wts[0]))) *4]
QUAD	QUAD_3D_P6_
static double	QUAD_3D_P7_wts []
static double	QUAD_3D_P7_pts [(sizeof(QUAD_3D_P7_wts)/(sizeof(QUAD_3D_P7_wts[0]))) *4]
QUAD	QUAD_3D_P7_
static double	QUAD_3D_P8_wts []
static double	QUAD_3D_P8_pts [(sizeof(QUAD_3D_P8_wts)/(sizeof(QUAD_3D_P8_wts[0]))) *4]
QUAD	QUAD_3D_P8_
static double	QUAD_3D_P9_wts []
static double	QUAD_3D_P9_pts [(sizeof(QUAD_3D_P9_wts)/(sizeof(QUAD_3D_P9_wts[0]))) *4]
QUAD	QUAD_3D_P9_
static double	QUAD_3D_P10_wts []
static double	QUAD_3D_P10_pts [(sizeof(QUAD_3D_P10_wts)/(sizeof(QUAD_3D_P10_wts[0]))) *4]
QUAD	QUAD_3D_P10_
static double	QUAD_3D_P11_wts []
static double	QUAD_3D_P11_pts [(sizeof(QUAD_3D_P11_wts)/(sizeof(QUAD_3D_P11_wts[0]))) *4]
QUAD	QUAD_3D_P11_
static double	QUAD_3D_P12_wts []
static double	QUAD_3D_P12_pts [(sizeof(QUAD_3D_P12_wts)/(sizeof(QUAD_3D_P12_wts[0]))) *4]
QUAD	QUAD_3D_P12_
static double	QUAD_3D_P13_wts []
static double	QUAD_3D_P13_pts [(sizeof(QUAD_3D_P13_wts)/(sizeof(QUAD_3D_P13_wts[0]))) *4]
QUAD	QUAD_3D_P13_
static double	QUAD_3D_P14_wts []
static double	QUAD_3D_P14_pts [(sizeof(QUAD_3D_P14_wts)/(sizeof(QUAD_3D_P14_wts[0]))) *4]
QUAD	QUAD_3D_P14_

Macro Definition Documentation

_F

#define _F

(

n

)

Value:

n       /* no suffix */

Definition at line 25 of file quad.c.

FALSE

#define FALSE   0

Definition at line 26 of file quad.c.

Length

#define Length

(

wts

)

Value:

(sizeof(wts) / (sizeof(wts[0])))

Definition at line 35 of file quad.c.

TRUE

#define TRUE   1

Definition at line 27 of file quad.c.

Variable Documentation

QUAD_1D_P11_

QUAD QUAD_1D_P11_

Initial value:

= {
    "1D P11",           
    1,              
    11,             
     (sizeof(QUAD_1D_P11_wts) / (sizeof(QUAD_1D_P11_wts[0]))) , 
    QUAD_1D_P11_pts,        
    QUAD_1D_P11_wts,        
    -1              
}

Definition at line 143 of file quad.c.

                    {
    "1D P11",           /* name */
    1,              /* dim */
    11,             /* order */
    Length(QUAD_1D_P11_wts),    /* npoints */
    QUAD_1D_P11_pts,        /* points */
    QUAD_1D_P11_wts,        /* weights */
    -1              /* id */
};

QUAD_1D_P11_pts

double QUAD_1D_P11_pts[(sizeof(QUAD_1D_P11_wts)/(sizeof(QUAD_1D_P11_wts[0]))) *2]

static

Initial value:

= {
     .96623475710157601390615077724699730  , 1.  -( .96623475710157601390615077724699730  ), 1.  -( .96623475710157601390615077724699730  ), .96623475710157601390615077724699730  ,
     .83060469323313225683069979750995267  , 1.  -( .83060469323313225683069979750995267  ), 1.  -( .83060469323313225683069979750995267  ), .83060469323313225683069979750995267  ,
     .61930959304159845431525086084035597  , 1.  -( .61930959304159845431525086084035597  ), 1.  -( .61930959304159845431525086084035597  ), .61930959304159845431525086084035597  
}

Definition at line 138 of file quad.c.

                                                             {
    Perm11(.96623475710157601390615077724699730),
    Perm11(.83060469323313225683069979750995267),
    Perm11(.61930959304159845431525086084035597)
};

QUAD_1D_P11_wts

double QUAD_1D_P11_wts[]

static

Initial value:

= {
     .08566224618958517252014807108636645  , .08566224618958517252014807108636645  ,
     .18038078652406930378491675691885806  , .18038078652406930378491675691885806  ,
     .23395696728634552369493517199477550  , .23395696728634552369493517199477550  
}

Definition at line 133 of file quad.c.

                                  {
    Dup11(.08566224618958517252014807108636645),
    Dup11(.18038078652406930378491675691885806),
    Dup11(.23395696728634552369493517199477550)
};

QUAD_1D_P13_

QUAD QUAD_1D_P13_

Initial value:

= {
    "1D P13",           
    1,              
    13,             
     (sizeof(QUAD_1D_P13_wts) / (sizeof(QUAD_1D_P13_wts[0]))) , 
    QUAD_1D_P13_pts,        
    QUAD_1D_P13_wts,        
    -1              
}

Definition at line 165 of file quad.c.

                    {
    "1D P13",           /* name */
    1,              /* dim */
    13,             /* order */
    Length(QUAD_1D_P13_wts),    /* npoints */
    QUAD_1D_P13_pts,        /* points */
    QUAD_1D_P13_wts,        /* weights */
    -1              /* id */
};

QUAD_1D_P13_pts

double QUAD_1D_P13_pts[(sizeof(QUAD_1D_P13_wts)/(sizeof(QUAD_1D_P13_wts[0]))) *2]

static

Initial value:

= {
     .97455395617137926226309484202392563  , 1.  -( .97455395617137926226309484202392563  ), 1.  -( .97455395617137926226309484202392563  ), .97455395617137926226309484202392563  ,
     .87076559279969721993193238664039420  , 1.  -( .87076559279969721993193238664039420  ), 1.  -( .87076559279969721993193238664039420  ), .87076559279969721993193238664039420  ,
     .70292257568869858345330320603848073  , 1.  -( .70292257568869858345330320603848073  ), 1.  -( .70292257568869858345330320603848073  ), .70292257568869858345330320603848073  ,
     0.5  , 0.5  
}

Definition at line 159 of file quad.c.

                                                             {
    Perm11(.97455395617137926226309484202392563),
    Perm11(.87076559279969721993193238664039420),
    Perm11(.70292257568869858345330320603848073),
    Perm2(.5)
};

QUAD_1D_P13_wts

double QUAD_1D_P13_wts[]

static

Initial value:

= {
     .06474248308443484663530571633954101  , .06474248308443484663530571633954101  ,
     .13985269574463833395073388571188979  , .13985269574463833395073388571188979  ,
     .19091502525255947247518488774448757  , .19091502525255947247518488774448757  ,
     .20897959183673469387755102040816327  
}

Definition at line 153 of file quad.c.

                                  {
    Dup11(.06474248308443484663530571633954101),
    Dup11(.13985269574463833395073388571188979),
    Dup11(.19091502525255947247518488774448757),
    Dup2(.20897959183673469387755102040816327)
};

QUAD_1D_P15_

QUAD QUAD_1D_P15_

Initial value:

= {
    "1D P15",       
    1,          
    15,         
     (sizeof(QUAD_1D_P15_wts) / (sizeof(QUAD_1D_P15_wts[0]))) , 
    QUAD_1D_P15_pts,    
    QUAD_1D_P15_wts,    
    -1          
}

Definition at line 187 of file quad.c.

                    {
    "1D P15",       /* name */
    1,          /* dim */
    15,         /* order */
    Length(QUAD_1D_P15_wts),    /* npoints */
    QUAD_1D_P15_pts,    /* points */
    QUAD_1D_P15_wts,    /* weights */
    -1          /* id */
};

QUAD_1D_P15_pts

double QUAD_1D_P15_pts[(sizeof(QUAD_1D_P15_wts)/(sizeof(QUAD_1D_P15_wts[0]))) *2]

static

Initial value:

= {
     .98014492824876811584178043428473650  , 1.  -( .98014492824876811584178043428473650  ), 1.  -( .98014492824876811584178043428473650  ), .98014492824876811584178043428473650  ,
     .89833323870681336979577696823791522  , 1.  -( .89833323870681336979577696823791522  ), 1.  -( .89833323870681336979577696823791522  ), .89833323870681336979577696823791522  ,
     .76276620495816449290886952459462317  , 1.  -( .76276620495816449290886952459462317  ), 1.  -( .76276620495816449290886952459462317  ), .76276620495816449290886952459462317  ,
     .59171732124782490246973807118009199  , 1.  -( .59171732124782490246973807118009199  ), 1.  -( .59171732124782490246973807118009199  ), .59171732124782490246973807118009199  
}

Definition at line 181 of file quad.c.

                                                             {
    Perm11(.98014492824876811584178043428473650),
    Perm11(.89833323870681336979577696823791522),
    Perm11(.76276620495816449290886952459462317),
    Perm11(.59171732124782490246973807118009199)
};

QUAD_1D_P15_wts

double QUAD_1D_P15_wts[]

static

Initial value:

= {
     .05061426814518812957626567715498110  , .05061426814518812957626567715498110  ,
     .11119051722668723527217799721312044  , .11119051722668723527217799721312044  ,
     .15685332293894364366898110099330066  , .15685332293894364366898110099330066  ,
     .18134189168918099148257522463859781  , .18134189168918099148257522463859781  
}

Definition at line 175 of file quad.c.

                                  {
    Dup11(.05061426814518812957626567715498110),
    Dup11(.11119051722668723527217799721312044),
    Dup11(.15685332293894364366898110099330066),
    Dup11(.18134189168918099148257522463859781)
};

QUAD_1D_P17_

QUAD QUAD_1D_P17_

Initial value:

= {
    "1D P17",       
    1,          
    17,         
     (sizeof(QUAD_1D_P17_wts) / (sizeof(QUAD_1D_P17_wts[0]))) , 
    QUAD_1D_P17_pts,    
    QUAD_1D_P17_wts,    
    -1          
}

Definition at line 211 of file quad.c.

                    {
    "1D P17",       /* name */
    1,          /* dim */
    17,         /* order */
    Length(QUAD_1D_P17_wts),    /* npoints */
    QUAD_1D_P17_pts,    /* points */
    QUAD_1D_P17_wts,    /* weights */
    -1          /* id */
};

QUAD_1D_P17_pts

double QUAD_1D_P17_pts[(sizeof(QUAD_1D_P17_wts)/(sizeof(QUAD_1D_P17_wts[0]))) *2]

static

Initial value:

= {
     .98408011975381304491778810145183644  , 1.  -( .98408011975381304491778810145183644  ), 1.  -( .98408011975381304491778810145183644  ), .98408011975381304491778810145183644  ,
     .91801555366331789714971489403486744  , 1.  -( .91801555366331789714971489403486744  ), 1.  -( .91801555366331789714971489403486744  ), .91801555366331789714971489403486744  ,
     .80668571635029519865435101967073709  , 1.  -( .80668571635029519865435101967073709  ), 1.  -( .80668571635029519865435101967073709  ), .80668571635029519865435101967073709  ,
     .66212671170190446451926900732166830  , 1.  -( .66212671170190446451926900732166830  ), 1.  -( .66212671170190446451926900732166830  ), .66212671170190446451926900732166830  ,
     0.5  , 0.5  
}

Definition at line 204 of file quad.c.

                                                             {
    Perm11(.98408011975381304491778810145183644),
    Perm11(.91801555366331789714971489403486744),
    Perm11(.80668571635029519865435101967073709),
    Perm11(.66212671170190446451926900732166830),
    Perm2(.5)
};

QUAD_1D_P17_wts

double QUAD_1D_P17_wts[]

static

Initial value:

= {
     .04063719418078720598594607905526183  , .04063719418078720598594607905526183  ,
     .09032408034742870202923601562145640  , .09032408034742870202923601562145640  ,
     .13030534820146773115937143470931642  , .13030534820146773115937143470931642  ,
     .15617353852000142003431520329222183  , .15617353852000142003431520329222183  ,
     .16511967750062988158226253464348702  
}

Definition at line 197 of file quad.c.

                                  {
    Dup11(.04063719418078720598594607905526183),
    Dup11(.09032408034742870202923601562145640),
    Dup11(.13030534820146773115937143470931642),
    Dup11(.15617353852000142003431520329222183),
    Dup2(.16511967750062988158226253464348702)
};

QUAD_1D_P19_

QUAD QUAD_1D_P19_

Initial value:

= {
    "1D P19",       
    1,          
    19,         
     (sizeof(QUAD_1D_P19_wts) / (sizeof(QUAD_1D_P19_wts[0]))) , 
    QUAD_1D_P19_pts,    
    QUAD_1D_P19_wts,    
    -1          
}

Definition at line 235 of file quad.c.

                    {
    "1D P19",       /* name */
    1,          /* dim */
    19,         /* order */
    Length(QUAD_1D_P19_wts),    /* npoints */
    QUAD_1D_P19_pts,    /* points */
    QUAD_1D_P19_wts,    /* weights */
    -1          /* id */
};

QUAD_1D_P19_pts

double QUAD_1D_P19_pts[(sizeof(QUAD_1D_P19_wts)/(sizeof(QUAD_1D_P19_wts[0]))) *2]

static

Initial value:

= {
     .98695326425858586003898200604222603  , 1.  -( .98695326425858586003898200604222603  ), 1.  -( .98695326425858586003898200604222603  ), .98695326425858586003898200604222603  ,
     .93253168334449225536604834421174652  , 1.  -( .93253168334449225536604834421174652  ), 1.  -( .93253168334449225536604834421174652  ), .93253168334449225536604834421174652  ,
     .83970478414951220311716368255743679  , 1.  -( .83970478414951220311716368255743679  ), 1.  -( .83970478414951220311716368255743679  ), .83970478414951220311716368255743679  ,
     .71669769706462359539963297158289208  , 1.  -( .71669769706462359539963297158289208  ), 1.  -( .71669769706462359539963297158289208  ), .71669769706462359539963297158289208  ,
     .57443716949081560544241300056485999  , 1.  -( .57443716949081560544241300056485999  ), 1.  -( .57443716949081560544241300056485999  ), .57443716949081560544241300056485999  
}

Definition at line 228 of file quad.c.

                                                             {
    Perm11(.98695326425858586003898200604222603),
    Perm11(.93253168334449225536604834421174652),
    Perm11(.83970478414951220311716368255743679),
    Perm11(.71669769706462359539963297158289208),
    Perm11(.57443716949081560544241300056485999)
};

QUAD_1D_P19_wts

double QUAD_1D_P19_wts[]

static

Initial value:

= {
     .03333567215434406879678440494666590  , .03333567215434406879678440494666590  ,
     .07472567457529029657288816982884867  , .07472567457529029657288816982884867  ,
     .10954318125799102199776746711408160  , .10954318125799102199776746711408160  ,
     .13463335965499817754561346078473468  , .13463335965499817754561346078473468  ,
     .14776211235737643508694649732566916  , .14776211235737643508694649732566916  
}

Definition at line 221 of file quad.c.

                                  {
    Dup11(.03333567215434406879678440494666590),
    Dup11(.07472567457529029657288816982884867),
    Dup11(.10954318125799102199776746711408160),
    Dup11(.13463335965499817754561346078473468),
    Dup11(.14776211235737643508694649732566916)
};

QUAD_1D_P1_

QUAD QUAD_1D_P1_

Initial value:

= {
    "1D P1",            
    1,              
    1,              
     (sizeof(QUAD_1D_P1_wts) / (sizeof(QUAD_1D_P1_wts[0]))) ,   
    QUAD_1D_P1_pts,     
    QUAD_1D_P1_wts,     
    -1              
}

Definition at line 45 of file quad.c.

                   {
    "1D P1",            /* name */
    1,              /* dim */
    1,              /* order */
    Length(QUAD_1D_P1_wts), /* npoints */
    QUAD_1D_P1_pts,     /* points */
    QUAD_1D_P1_wts,     /* weights */
    -1              /* id */
};

QUAD_1D_P1_pts

double QUAD_1D_P1_pts[(sizeof(QUAD_1D_P1_wts)/(sizeof(QUAD_1D_P1_wts[0]))) *2]

static

Initial value:

= {
     0.5  , 0.5  
}

Definition at line 42 of file quad.c.

                                                           {
    Perm2(.5)
};

QUAD_1D_P1_wts

double QUAD_1D_P1_wts[]

static

Initial value:

= {
     1.  
}

Definition at line 39 of file quad.c.

                                 {
    Dup2(1.)
};

QUAD_1D_P21_

QUAD QUAD_1D_P21_

Initial value:

= {
    "1D P21",       
    1,          
    21,         
     (sizeof(QUAD_1D_P21_wts) / (sizeof(QUAD_1D_P21_wts[0]))) , 
    QUAD_1D_P21_pts,    
    QUAD_1D_P21_wts,    
    -1          
}

Definition at line 261 of file quad.c.

                    {
    "1D P21",       /* name */
    1,          /* dim */
    21,         /* order */
    Length(QUAD_1D_P21_wts),    /* npoints */
    QUAD_1D_P21_pts,    /* points */
    QUAD_1D_P21_wts,    /* weights */
    -1          /* id */
};

QUAD_1D_P21_pts

double QUAD_1D_P21_pts[(sizeof(QUAD_1D_P21_wts)/(sizeof(QUAD_1D_P21_wts[0]))) *2]

static

Initial value:

= {
     .98911432907302849640196900056142870  , 1.  -( .98911432907302849640196900056142870  ), 1.  -( .98911432907302849640196900056142870  ), .98911432907302849640196900056142870  ,
     .94353129988404764953757888465196363  , 1.  -( .94353129988404764953757888465196363  ), 1.  -( .94353129988404764953757888465196363  ), .94353129988404764953757888465196363  ,
     .86507600278702466204670812601557673  , 1.  -( .86507600278702466204670812601557673  ), 1.  -( .86507600278702466204670812601557673  ), .86507600278702466204670812601557673  ,
     .75954806460340590796286283472930478  , 1.  -( .75954806460340590796286283472930478  ), 1.  -( .75954806460340590796286283472930478  ), .75954806460340590796286283472930478  ,
     .63477157797617248616576599270043076  , 1.  -( .63477157797617248616576599270043076  ), 1.  -( .63477157797617248616576599270043076  ), .63477157797617248616576599270043076  ,
     0.5  , 0.5  
}

Definition at line 253 of file quad.c.

                                                             {
    Perm11(.98911432907302849640196900056142870),
    Perm11(.94353129988404764953757888465196363),
    Perm11(.86507600278702466204670812601557673),
    Perm11(.75954806460340590796286283472930478),
    Perm11(.63477157797617248616576599270043076),
    Perm2(.5)
};

QUAD_1D_P21_wts

double QUAD_1D_P21_wts[]

static

Initial value:

= {
     .02783428355808683324137686022127429  , .02783428355808683324137686022127429  ,
     .06279018473245231231734714961197005  , .06279018473245231231734714961197005  ,
     .09314510546386712571304882071582795  , .09314510546386712571304882071582795  ,
     .11659688229599523995926185242158757  , .11659688229599523995926185242158757  ,
     .13140227225512333109034443494525460  , .13140227225512333109034443494525460  ,
     .13646254338895031535724176416817109  
}

Definition at line 245 of file quad.c.

                                  {
    Dup11(.02783428355808683324137686022127429),
    Dup11(.06279018473245231231734714961197005),
    Dup11(.09314510546386712571304882071582795),
    Dup11(.11659688229599523995926185242158757),
    Dup11(.13140227225512333109034443494525460),
    Dup2(.13646254338895031535724176416817109)
};

QUAD_1D_P3_

QUAD QUAD_1D_P3_

Initial value:

= {
    "1D P3",            
    1,              
    3,              
     (sizeof(QUAD_1D_P3_wts) / (sizeof(QUAD_1D_P3_wts[0]))) ,   
    QUAD_1D_P3_pts,     
    QUAD_1D_P3_wts,     
    -1              
}

Definition at line 62 of file quad.c.

                   {
    "1D P3",            /* name */
    1,              /* dim */
    3,              /* order */
    Length(QUAD_1D_P3_wts), /* npoints */
    QUAD_1D_P3_pts,     /* points */
    QUAD_1D_P3_wts,     /* weights */
    -1              /* id */
};

QUAD_1D_P3_pts

double QUAD_1D_P3_pts[(sizeof(QUAD_1D_P3_wts)/(sizeof(QUAD_1D_P3_wts[0]))) *2]

static

Initial value:

= {
    
     .21132486540518711774542560974902127  , 1.  -( .21132486540518711774542560974902127  ), 1.  -( .21132486540518711774542560974902127  ), .21132486540518711774542560974902127  
}

Definition at line 58 of file quad.c.

                                                           {
    /* (3 - sqrt(3)) / 6, (3 + sqrt(3)) / 6 */
    Perm11(.21132486540518711774542560974902127)
};

QUAD_1D_P3_wts

double QUAD_1D_P3_wts[]

static

Initial value:

= {
     .5  , .5  
}

Definition at line 55 of file quad.c.

                                 {
    Dup11(.5)
};

QUAD_1D_P5_

QUAD QUAD_1D_P5_

Initial value:

= {
    "1D P5",            
    1,              
    5,              
     (sizeof(QUAD_1D_P5_wts) / (sizeof(QUAD_1D_P5_wts[0]))) ,   
    QUAD_1D_P5_pts,     
    QUAD_1D_P5_wts,     
    -1              
}

Definition at line 81 of file quad.c.

                   {
    "1D P5",            /* name */
    1,              /* dim */
    5,              /* order */
    Length(QUAD_1D_P5_wts), /* npoints */
    QUAD_1D_P5_pts,     /* points */
    QUAD_1D_P5_wts,     /* weights */
    -1              /* id */
};

QUAD_1D_P5_pts

double QUAD_1D_P5_pts[(sizeof(QUAD_1D_P5_wts)/(sizeof(QUAD_1D_P5_wts[0]))) *2]

static

Initial value:

= {
    
     .11270166537925831148207346002176004  , 1.  -( .11270166537925831148207346002176004  ), 1.  -( .11270166537925831148207346002176004  ), .11270166537925831148207346002176004  ,
     0.5  , 0.5  
}

Definition at line 76 of file quad.c.

                                                           {
    /* (5 - sqrt(15)) / 10, 1 / 2, (5 + sqrt(15)) / 10 */
    Perm11(.11270166537925831148207346002176004),
    Perm2(.5)
};

QUAD_1D_P5_wts

double QUAD_1D_P5_wts[]

static

Initial value:

= {
     5./18.  , 5./18.  ,
     4./9.  
}

Definition at line 72 of file quad.c.

                                 {
    Dup11(5./18.),
    Dup2(4./9.)
};

QUAD_1D_P7_

QUAD QUAD_1D_P7_

Initial value:

= {
    "1D P7",            
    1,              
    7,              
     (sizeof(QUAD_1D_P7_wts) / (sizeof(QUAD_1D_P7_wts[0]))) ,   
    QUAD_1D_P7_pts,     
    QUAD_1D_P7_wts,     
    -1              
}

Definition at line 101 of file quad.c.

                   {
    "1D P7",            /* name */
    1,              /* dim */
    7,              /* order */
    Length(QUAD_1D_P7_wts), /* npoints */
    QUAD_1D_P7_pts,     /* points */
    QUAD_1D_P7_wts,     /* weights */
    -1              /* id */
};

QUAD_1D_P7_pts

double QUAD_1D_P7_pts[(sizeof(QUAD_1D_P7_wts)/(sizeof(QUAD_1D_P7_wts[0]))) *2]

static

Initial value:

= {
    
     .06943184420297371238802675555359525  , 1.  -( .06943184420297371238802675555359525  ), 1.  -( .06943184420297371238802675555359525  ), .06943184420297371238802675555359525  ,
     .33000947820757186759866712044837766  , 1.  -( .33000947820757186759866712044837766  ), 1.  -( .33000947820757186759866712044837766  ), .33000947820757186759866712044837766  
}

Definition at line 96 of file quad.c.

                                                           {
    /* (35 \pm sqrt(525 \pm 70 * sqrt(30))) / 70 */
    Perm11(.06943184420297371238802675555359525),
    Perm11(.33000947820757186759866712044837766)
};

QUAD_1D_P7_wts

double QUAD_1D_P7_wts[]

static

Initial value:

= {
    
     .17392742256872692868653197461099970  , .17392742256872692868653197461099970  ,
     .32607257743127307131346802538900030  , .32607257743127307131346802538900030  
}

Definition at line 91 of file quad.c.

                                 {
    /* (18 - sqrt(30)) / 72, (18 + sqrt(30)) / 72 */
    Dup11(.17392742256872692868653197461099970),
    Dup11(.32607257743127307131346802538900030)
};

QUAD_1D_P9_

QUAD QUAD_1D_P9_

Initial value:

= {
    "1D P9",            
    1,              
    9,              
     (sizeof(QUAD_1D_P9_wts) / (sizeof(QUAD_1D_P9_wts[0]))) ,   
    QUAD_1D_P9_pts,     
    QUAD_1D_P9_wts,     
    -1              
}

Definition at line 123 of file quad.c.

                   {
    "1D P9",            /* name */
    1,              /* dim */
    9,              /* order */
    Length(QUAD_1D_P9_wts), /* npoints */
    QUAD_1D_P9_pts,     /* points */
    QUAD_1D_P9_wts,     /* weights */
    -1              /* id */
};

QUAD_1D_P9_pts

double QUAD_1D_P9_pts[(sizeof(QUAD_1D_P9_wts)/(sizeof(QUAD_1D_P9_wts[0]))) *2]

static

Initial value:

= {
    
     0.5  , 0.5  ,
     .04691007703066800360118656085030352  , 1.  -( .04691007703066800360118656085030352  ), 1.  -( .04691007703066800360118656085030352  ), .04691007703066800360118656085030352  ,
     .23076534494715845448184278964989560  , 1.  -( .23076534494715845448184278964989560  ), 1.  -( .23076534494715845448184278964989560  ), .23076534494715845448184278964989560  
}

Definition at line 117 of file quad.c.

                                                           {
    /* (21 \pm sqrt(245 \pm 14 * sqrt(70))) / 42 */
    Perm2(0.5),
    Perm11(.04691007703066800360118656085030352),
    Perm11(.23076534494715845448184278964989560)
};

QUAD_1D_P9_wts

double QUAD_1D_P9_wts[]

static

Initial value:

= {
    
     128./450.  ,
     .11846344252809454375713202035995868  , .11846344252809454375713202035995868  ,
     .23931433524968323402064575741781910  , .23931433524968323402064575741781910  
}

Definition at line 111 of file quad.c.

                                 {
    /* (322 \pm 13 * sqrt(70)) / 1800 */
    Dup2(128./450.),
    Dup11(.11846344252809454375713202035995868),
    Dup11(.23931433524968323402064575741781910)
};

QUAD_2D_P10_

QUAD QUAD_2D_P10_

Initial value:

= {
    "2D P10",           
    2,              
    10,             
     (sizeof(QUAD_2D_P10_wts) / (sizeof(QUAD_2D_P10_wts[0]))) , 
    QUAD_2D_P10_pts,        
    QUAD_2D_P10_wts,        
    -1              
}

Definition at line 583 of file quad.c.

                    {
    "2D P10",           /* name */
    2,              /* dim */
    10,             /* order */
    Length(QUAD_2D_P10_wts),    /* npoints = 25 */
    QUAD_2D_P10_pts,        /* points */
    QUAD_2D_P10_wts,        /* weights */
    -1              /* id */
};

QUAD_2D_P10_pts

double QUAD_2D_P10_pts[(sizeof(QUAD_2D_P10_wts)/(sizeof(QUAD_2D_P10_wts[0]))) *3]

static

Initial value:

= {
     1.  / 3.  , 1.  / 3.  , 1.  / 3.  ,
     1.  -( .42727317884677553809044271751544715  )-( .42727317884677553809044271751544715  ), .42727317884677553809044271751544715  , .42727317884677553809044271751544715  ,   .42727317884677553809044271751544715  , 1.  -( .42727317884677553809044271751544715  )-( .42727317884677553809044271751544715  ), .42727317884677553809044271751544715  ,   .42727317884677553809044271751544715  , .42727317884677553809044271751544715  , 1.  -( .42727317884677553809044271751544715  )-( .42727317884677553809044271751544715  ),
     1.  -( .18309922244867502052157438485022004  )-( .18309922244867502052157438485022004  ), .18309922244867502052157438485022004  , .18309922244867502052157438485022004  ,   .18309922244867502052157438485022004  , 1.  -( .18309922244867502052157438485022004  )-( .18309922244867502052157438485022004  ), .18309922244867502052157438485022004  ,   .18309922244867502052157438485022004  , .18309922244867502052157438485022004  , 1.  -( .18309922244867502052157438485022004  )-( .18309922244867502052157438485022004  ),
     1.  -( .49043401970113058745397122237684843  )-( .49043401970113058745397122237684843  ), .49043401970113058745397122237684843  , .49043401970113058745397122237684843  ,   .49043401970113058745397122237684843  , 1.  -( .49043401970113058745397122237684843  )-( .49043401970113058745397122237684843  ), .49043401970113058745397122237684843  ,   .49043401970113058745397122237684843  , .49043401970113058745397122237684843  , 1.  -( .49043401970113058745397122237684843  )-( .49043401970113058745397122237684843  ),
     1.  -( .01257244555158053273132908502104126  )-( .01257244555158053273132908502104126  ), .01257244555158053273132908502104126  , .01257244555158053273132908502104126  ,   .01257244555158053273132908502104126  , 1.  -( .01257244555158053273132908502104126  )-( .01257244555158053273132908502104126  ), .01257244555158053273132908502104126  ,   .01257244555158053273132908502104126  , .01257244555158053273132908502104126  , 1.  -( .01257244555158053273132908502104126  )-( .01257244555158053273132908502104126  ),
    
 .65426866792006614066657009558762790  , .30804600168524770000000000000000000  , 1.  -( .65426866792006614066657009558762790  )-( .30804600168524770000000000000000000  ),   .65426866792006614066657009558762790  , 1.  -( .65426866792006614066657009558762790  )-( .30804600168524770000000000000000000  ), .30804600168524770000000000000000000  ,   .30804600168524770000000000000000000  , .65426866792006614066657009558762790  , 1.  -( .65426866792006614066657009558762790  )-( .30804600168524770000000000000000000  ),   .30804600168524770000000000000000000  , 1.  -( .65426866792006614066657009558762790  )-( .30804600168524770000000000000000000  ), .65426866792006614066657009558762790  ,   1.  -( .65426866792006614066657009558762790  )-( .30804600168524770000000000000000000  ), .65426866792006614066657009558762790  , .30804600168524770000000000000000000  ,   1.  -( .65426866792006614066657009558762790  )-( .30804600168524770000000000000000000  ), .30804600168524770000000000000000000  , .65426866792006614066657009558762790  ,
    
 .12280457706855927343012981748128116  , .03337183373930478624081644177478038  , 1.  -( .12280457706855927343012981748128116  )-( .03337183373930478624081644177478038  ),   .12280457706855927343012981748128116  , 1.  -( .12280457706855927343012981748128116  )-( .03337183373930478624081644177478038  ), .03337183373930478624081644177478038  ,   .03337183373930478624081644177478038  , .12280457706855927343012981748128116  , 1.  -( .12280457706855927343012981748128116  )-( .03337183373930478624081644177478038  ),   .03337183373930478624081644177478038  , 1.  -( .12280457706855927343012981748128116  )-( .03337183373930478624081644177478038  ), .12280457706855927343012981748128116  ,   1.  -( .12280457706855927343012981748128116  )-( .03337183373930478624081644177478038  ), .12280457706855927343012981748128116  , .03337183373930478624081644177478038  ,   1.  -( .12280457706855927343012981748128116  )-( .03337183373930478624081644177478038  ), .03337183373930478624081644177478038  , .12280457706855927343012981748128116  
}

Definition at line 572 of file quad.c.

                                                             {
    Perm3(.33333333333333333333333333333333333),
    Perm21(.42727317884677553809044271751544715),
    Perm21(.18309922244867502052157438485022004),
    Perm21(.49043401970113058745397122237684843),
    Perm21(.01257244555158053273132908502104126),
    Perm111(.65426866792006614066657009558762790,
        .30804600168524770000000000000000000),
    Perm111(.12280457706855927343012981748128116,
        .03337183373930478624081644177478038)
};

QUAD_2D_P10_wts

double QUAD_2D_P10_wts[]

static

Initial value:

= {
     .08093742879762288025711312381650193  ,
     .07729858800296312168250698238034344  , .07729858800296312168250698238034344  , .07729858800296312168250698238034344  ,
     .07845763861237173136809392083439673  , .07845763861237173136809392083439673  , .07845763861237173136809392083439673  ,
     .01746916799592948691760716329067815  , .01746916799592948691760716329067815  , .01746916799592948691760716329067815  ,
     .00429237418483282803048040209013191  , .00429237418483282803048040209013191  , .00429237418483282803048040209013191  ,
     .03746885821046764297902076548504452  , .03746885821046764297902076548504452  , .03746885821046764297902076548504452  , .03746885821046764297902076548504452  , .03746885821046764297902076548504452  , .03746885821046764297902076548504452  ,
     .02694935259187995964544947958109671  , .02694935259187995964544947958109671  , .02694935259187995964544947958109671  , .02694935259187995964544947958109671  , .02694935259187995964544947958109671  , .02694935259187995964544947958109671  
}

Definition at line 563 of file quad.c.

                                  {
    Dup3(.08093742879762288025711312381650193),
    Dup21(.07729858800296312168250698238034344),
    Dup21(.07845763861237173136809392083439673),
    Dup21(.01746916799592948691760716329067815),
    Dup21(.00429237418483282803048040209013191),
    Dup111(.03746885821046764297902076548504452),
    Dup111(.02694935259187995964544947958109671)
};

QUAD_2D_P11_

QUAD QUAD_2D_P11_

Initial value:

= {
    "2D P11",           
    2,              
    11,             
     (sizeof(QUAD_2D_P11_wts) / (sizeof(QUAD_2D_P11_wts[0]))) , 
    QUAD_2D_P11_pts,        
    QUAD_2D_P11_wts,        
    -1              
}

Definition at line 615 of file quad.c.

                    {
    "2D P11",           /* name */
    2,              /* dim */
    11,             /* order */
    Length(QUAD_2D_P11_wts),    /* npoints = 28 */
    QUAD_2D_P11_pts,        /* points */
    QUAD_2D_P11_wts,        /* weights */
    -1              /* id */
};

QUAD_2D_P11_pts

double QUAD_2D_P11_pts[(sizeof(QUAD_2D_P11_wts)/(sizeof(QUAD_2D_P11_wts[0]))) *3]

static

Initial value:

= {
     1.  / 3.  , 1.  / 3.  , 1.  / 3.  ,
     1.  -( .03093835524543078489519501499130475  )-( .03093835524543078489519501499130475  ), .03093835524543078489519501499130475  , .03093835524543078489519501499130475  ,   .03093835524543078489519501499130475  , 1.  -( .03093835524543078489519501499130475  )-( .03093835524543078489519501499130475  ), .03093835524543078489519501499130475  ,   .03093835524543078489519501499130475  , .03093835524543078489519501499130475  , 1.  -( .03093835524543078489519501499130475  )-( .03093835524543078489519501499130475  ),
     1.  -( .43649818113412884191761527655997324  )-( .43649818113412884191761527655997324  ), .43649818113412884191761527655997324  , .43649818113412884191761527655997324  ,   .43649818113412884191761527655997324  , 1.  -( .43649818113412884191761527655997324  )-( .43649818113412884191761527655997324  ), .43649818113412884191761527655997324  ,   .43649818113412884191761527655997324  , .43649818113412884191761527655997324  , 1.  -( .43649818113412884191761527655997324  )-( .43649818113412884191761527655997324  ),
     1.  -( .49898476370259326628798698383139087  )-( .49898476370259326628798698383139087  ), .49898476370259326628798698383139087  , .49898476370259326628798698383139087  ,   .49898476370259326628798698383139087  , 1.  -( .49898476370259326628798698383139087  )-( .49898476370259326628798698383139087  ), .49898476370259326628798698383139087  ,   .49898476370259326628798698383139087  , .49898476370259326628798698383139087  , 1.  -( .49898476370259326628798698383139087  )-( .49898476370259326628798698383139087  ),
     1.  -( .21468819795859433660687581387825086  )-( .21468819795859433660687581387825086  ), .21468819795859433660687581387825086  , .21468819795859433660687581387825086  ,   .21468819795859433660687581387825086  , 1.  -( .21468819795859433660687581387825086  )-( .21468819795859433660687581387825086  ), .21468819795859433660687581387825086  ,   .21468819795859433660687581387825086  , .21468819795859433660687581387825086  , 1.  -( .21468819795859433660687581387825086  )-( .21468819795859433660687581387825086  ),
     1.  -( .11368310404211339020529315622836178  )-( .11368310404211339020529315622836178  ), .11368310404211339020529315622836178  , .11368310404211339020529315622836178  ,   .11368310404211339020529315622836178  , 1.  -( .11368310404211339020529315622836178  )-( .11368310404211339020529315622836178  ), .11368310404211339020529315622836178  ,   .11368310404211339020529315622836178  , .11368310404211339020529315622836178  , 1.  -( .11368310404211339020529315622836178  )-( .11368310404211339020529315622836178  ),
    
 .82561876616486290435880620030835800  , .15974230459185018980086078822500751  , 1.  -( .82561876616486290435880620030835800  )-( .15974230459185018980086078822500751  ),   .82561876616486290435880620030835800  , 1.  -( .82561876616486290435880620030835800  )-( .15974230459185018980086078822500751  ), .15974230459185018980086078822500751  ,   .15974230459185018980086078822500751  , .82561876616486290435880620030835800  , 1.  -( .82561876616486290435880620030835800  )-( .15974230459185018980086078822500751  ),   .15974230459185018980086078822500751  , 1.  -( .82561876616486290435880620030835800  )-( .15974230459185018980086078822500751  ), .82561876616486290435880620030835800  ,   1.  -( .82561876616486290435880620030835800  )-( .15974230459185018980086078822500751  ), .82561876616486290435880620030835800  , .15974230459185018980086078822500751  ,   1.  -( .82561876616486290435880620030835800  )-( .15974230459185018980086078822500751  ), .15974230459185018980086078822500751  , .82561876616486290435880620030835800  ,
    
 .64047231013486526767703659081896681  , .31178371570959900000000000000000000  , 1.  -( .64047231013486526767703659081896681  )-( .31178371570959900000000000000000000  ),   .64047231013486526767703659081896681  , 1.  -( .64047231013486526767703659081896681  )-( .31178371570959900000000000000000000  ), .31178371570959900000000000000000000  ,   .31178371570959900000000000000000000  , .64047231013486526767703659081896681  , 1.  -( .64047231013486526767703659081896681  )-( .31178371570959900000000000000000000  ),   .31178371570959900000000000000000000  , 1.  -( .64047231013486526767703659081896681  )-( .31178371570959900000000000000000000  ), .64047231013486526767703659081896681  ,   1.  -( .64047231013486526767703659081896681  )-( .31178371570959900000000000000000000  ), .64047231013486526767703659081896681  , .31178371570959900000000000000000000  ,   1.  -( .64047231013486526767703659081896681  )-( .31178371570959900000000000000000000  ), .31178371570959900000000000000000000  , .64047231013486526767703659081896681  
}

Definition at line 603 of file quad.c.

                                                             {
    Perm3(.33333333333333333333333333333333333),
    Perm21(.03093835524543078489519501499130475),
    Perm21(.43649818113412884191761527655997324),
    Perm21(.49898476370259326628798698383139087),
    Perm21(.21468819795859433660687581387825086),
    Perm21(.11368310404211339020529315622836178),
    Perm111(.82561876616486290435880620030835800,
        .15974230459185018980086078822500751),
    Perm111(.64047231013486526767703659081896681,
        .31178371570959900000000000000000000)
};

QUAD_2D_P11_wts

double QUAD_2D_P11_wts[]

static

Initial value:

= {
     .08117796029686715951547596874982357  ,
     .01232404350690949411847390101623284  , .01232404350690949411847390101623284  , .01232404350690949411847390101623284  ,
     .06282800974441010728333942816029398  , .06282800974441010728333942816029398  , .06282800974441010728333942816029398  ,
     .01222037904936452975521221500393789  , .01222037904936452975521221500393789  , .01222037904936452975521221500393789  ,
     .06770134895281150992098886182322559  , .06770134895281150992098886182322559  , .06770134895281150992098886182322559  ,
     .04021969362885169042356688960756866  , .04021969362885169042356688960756866  , .04021969362885169042356688960756866  ,
     .01476227271771610133629306558778206  , .01476227271771610133629306558778206  , .01476227271771610133629306558778206  , .01476227271771610133629306558778206  , .01476227271771610133629306558778206  , .01476227271771610133629306558778206  ,
     .04072799645829903966033695848161786  , .04072799645829903966033695848161786  , .04072799645829903966033695848161786  , .04072799645829903966033695848161786  , .04072799645829903966033695848161786  , .04072799645829903966033695848161786  
}

Definition at line 593 of file quad.c.

                                  {
    Dup3(.08117796029686715951547596874982357),
    Dup21(.01232404350690949411847390101623284),
    Dup21(.06282800974441010728333942816029398),
    Dup21(.01222037904936452975521221500393789),
    Dup21(.06770134895281150992098886182322559),
    Dup21(.04021969362885169042356688960756866),
    Dup111(.01476227271771610133629306558778206),
    Dup111(.04072799645829903966033695848161786)
};

QUAD_2D_P12_

QUAD QUAD_2D_P12_

Initial value:

= {
    "2D P12",           
    2,              
    12,             
     (sizeof(QUAD_2D_P12_wts) / (sizeof(QUAD_2D_P12_wts[0]))) , 
    QUAD_2D_P12_pts,        
    QUAD_2D_P12_wts,        
    -1              
}

Definition at line 648 of file quad.c.

                    {
    "2D P12",           /* name */
    2,              /* dim */
    12,             /* order */
    Length(QUAD_2D_P12_wts),    /* npoints = 33 */
    QUAD_2D_P12_pts,        /* points */
    QUAD_2D_P12_wts,        /* weights */
    -1              /* id */
};

QUAD_2D_P12_pts

double QUAD_2D_P12_pts[(sizeof(QUAD_2D_P12_wts)/(sizeof(QUAD_2D_P12_wts[0]))) *3]

static

Initial value:

= {
     1.  -( .02131735045321037024685697551572825  )-( .02131735045321037024685697551572825  ), .02131735045321037024685697551572825  , .02131735045321037024685697551572825  ,   .02131735045321037024685697551572825  , 1.  -( .02131735045321037024685697551572825  )-( .02131735045321037024685697551572825  ), .02131735045321037024685697551572825  ,   .02131735045321037024685697551572825  , .02131735045321037024685697551572825  , 1.  -( .02131735045321037024685697551572825  )-( .02131735045321037024685697551572825  ),
     1.  -( .27121038501211592234595134039689474  )-( .27121038501211592234595134039689474  ), .27121038501211592234595134039689474  , .27121038501211592234595134039689474  ,   .27121038501211592234595134039689474  , 1.  -( .27121038501211592234595134039689474  )-( .27121038501211592234595134039689474  ), .27121038501211592234595134039689474  ,   .27121038501211592234595134039689474  , .27121038501211592234595134039689474  , 1.  -( .27121038501211592234595134039689474  )-( .27121038501211592234595134039689474  ),
     1.  -( .12757614554158592467389632515428357  )-( .12757614554158592467389632515428357  ), .12757614554158592467389632515428357  , .12757614554158592467389632515428357  ,   .12757614554158592467389632515428357  , 1.  -( .12757614554158592467389632515428357  )-( .12757614554158592467389632515428357  ), .12757614554158592467389632515428357  ,   .12757614554158592467389632515428357  , .12757614554158592467389632515428357  , 1.  -( .12757614554158592467389632515428357  )-( .12757614554158592467389632515428357  ),
     1.  -( .43972439229446027297973662348436108  )-( .43972439229446027297973662348436108  ), .43972439229446027297973662348436108  , .43972439229446027297973662348436108  ,   .43972439229446027297973662348436108  , 1.  -( .43972439229446027297973662348436108  )-( .43972439229446027297973662348436108  ), .43972439229446027297973662348436108  ,   .43972439229446027297973662348436108  , .43972439229446027297973662348436108  , 1.  -( .43972439229446027297973662348436108  )-( .43972439229446027297973662348436108  ),
     1.  -( .48821738977380488256466206525881104  )-( .48821738977380488256466206525881104  ), .48821738977380488256466206525881104  , .48821738977380488256466206525881104  ,   .48821738977380488256466206525881104  , 1.  -( .48821738977380488256466206525881104  )-( .48821738977380488256466206525881104  ), .48821738977380488256466206525881104  ,   .48821738977380488256466206525881104  , .48821738977380488256466206525881104  , 1.  -( .48821738977380488256466206525881104  )-( .48821738977380488256466206525881104  ),
    
 .69583608678780342214163552323607254  , .28132558098993954824813069297455275  , 1.  -( .69583608678780342214163552323607254  )-( .28132558098993954824813069297455275  ),   .69583608678780342214163552323607254  , 1.  -( .69583608678780342214163552323607254  )-( .28132558098993954824813069297455275  ), .28132558098993954824813069297455275  ,   .28132558098993954824813069297455275  , .69583608678780342214163552323607254  , 1.  -( .69583608678780342214163552323607254  )-( .28132558098993954824813069297455275  ),   .28132558098993954824813069297455275  , 1.  -( .69583608678780342214163552323607254  )-( .28132558098993954824813069297455275  ), .69583608678780342214163552323607254  ,   1.  -( .69583608678780342214163552323607254  )-( .28132558098993954824813069297455275  ), .69583608678780342214163552323607254  , .28132558098993954824813069297455275  ,   1.  -( .69583608678780342214163552323607254  )-( .28132558098993954824813069297455275  ), .28132558098993954824813069297455275  , .69583608678780342214163552323607254  ,
    
 .85801403354407263059053661662617818  , .11625191590759714124135414784260182  , 1.  -( .85801403354407263059053661662617818  )-( .11625191590759714124135414784260182  ),   .85801403354407263059053661662617818  , 1.  -( .85801403354407263059053661662617818  )-( .11625191590759714124135414784260182  ), .11625191590759714124135414784260182  ,   .11625191590759714124135414784260182  , .85801403354407263059053661662617818  , 1.  -( .85801403354407263059053661662617818  )-( .11625191590759714124135414784260182  ),   .11625191590759714124135414784260182  , 1.  -( .85801403354407263059053661662617818  )-( .11625191590759714124135414784260182  ), .85801403354407263059053661662617818  ,   1.  -( .85801403354407263059053661662617818  )-( .11625191590759714124135414784260182  ), .85801403354407263059053661662617818  , .11625191590759714124135414784260182  ,   1.  -( .85801403354407263059053661662617818  )-( .11625191590759714124135414784260182  ), .11625191590759714124135414784260182  , .85801403354407263059053661662617818  ,
    
 .60894323577978780685619243776371007  , .27571326968551419397479634607976398  , 1.  -( .60894323577978780685619243776371007  )-( .27571326968551419397479634607976398  ),   .60894323577978780685619243776371007  , 1.  -( .60894323577978780685619243776371007  )-( .27571326968551419397479634607976398  ), .27571326968551419397479634607976398  ,   .27571326968551419397479634607976398  , .60894323577978780685619243776371007  , 1.  -( .60894323577978780685619243776371007  )-( .27571326968551419397479634607976398  ),   .27571326968551419397479634607976398  , 1.  -( .60894323577978780685619243776371007  )-( .27571326968551419397479634607976398  ), .60894323577978780685619243776371007  ,   1.  -( .60894323577978780685619243776371007  )-( .27571326968551419397479634607976398  ), .60894323577978780685619243776371007  , .27571326968551419397479634607976398  ,   1.  -( .60894323577978780685619243776371007  )-( .27571326968551419397479634607976398  ), .27571326968551419397479634607976398  , .60894323577978780685619243776371007  
}

Definition at line 635 of file quad.c.

                                                             {
    Perm21(.02131735045321037024685697551572825),
    Perm21(.27121038501211592234595134039689474),
    Perm21(.12757614554158592467389632515428357),
    Perm21(.43972439229446027297973662348436108),
    Perm21(.48821738977380488256466206525881104),
    Perm111(.69583608678780342214163552323607254,
        .28132558098993954824813069297455275),
    Perm111(.85801403354407263059053661662617818,
        .11625191590759714124135414784260182),
    Perm111(.60894323577978780685619243776371007,
        .27571326968551419397479634607976398)
};

QUAD_2D_P12_wts

double QUAD_2D_P12_wts[]

static

Initial value:

= {
     .00616626105155901723386648378523035  , .00616626105155901723386648378523035  , .00616626105155901723386648378523035  ,
     .06285822421788510035427051309288255  , .06285822421788510035427051309288255  , .06285822421788510035427051309288255  ,
     .03479611293070894298932839729499937  , .03479611293070894298932839729499937  , .03479611293070894298932839729499937  ,
     .04369254453803840213545726255747497  , .04369254453803840213545726255747497  , .04369254453803840213545726255747497  ,
     .02573106644045533541779092307156443  , .02573106644045533541779092307156443  , .02573106644045533541779092307156443  ,
     .02235677320230344571183907670231999  , .02235677320230344571183907670231999  , .02235677320230344571183907670231999  , .02235677320230344571183907670231999  , .02235677320230344571183907670231999  , .02235677320230344571183907670231999  ,
     .01731623110865889237164210081103407  , .01731623110865889237164210081103407  , .01731623110865889237164210081103407  , .01731623110865889237164210081103407  , .01731623110865889237164210081103407  , .01731623110865889237164210081103407  ,
     .04037155776638092951782869925223677  , .04037155776638092951782869925223677  , .04037155776638092951782869925223677  , .04037155776638092951782869925223677  , .04037155776638092951782869925223677  , .04037155776638092951782869925223677  
}

Definition at line 625 of file quad.c.

                                  {
    Dup21(.00616626105155901723386648378523035),
    Dup21(.06285822421788510035427051309288255),
    Dup21(.03479611293070894298932839729499937),
    Dup21(.04369254453803840213545726255747497),
    Dup21(.02573106644045533541779092307156443),
    Dup111(.02235677320230344571183907670231999),
    Dup111(.01731623110865889237164210081103407),
    Dup111(.04037155776638092951782869925223677)
};

QUAD_2D_P13_

QUAD QUAD_2D_P13_

Initial value:

= {
    "2D P13",           
    2,              
    13,             
     (sizeof(QUAD_2D_P13_wts) / (sizeof(QUAD_2D_P13_wts[0]))) , 
    QUAD_2D_P13_pts,        
    QUAD_2D_P13_wts,        
    -1              
}

Definition at line 684 of file quad.c.

                    {
    "2D P13",           /* name */
    2,              /* dim */
    13,             /* order */
    Length(QUAD_2D_P13_wts),    /* npoints = 37 */
    QUAD_2D_P13_pts,        /* points */
    QUAD_2D_P13_wts,        /* weights */
    -1              /* id */
};

QUAD_2D_P13_pts

double QUAD_2D_P13_pts[(sizeof(QUAD_2D_P13_wts)/(sizeof(QUAD_2D_P13_wts[0]))) *3]

static

Initial value:

= {
     1.  / 3.  , 1.  / 3.  , 1.  / 3.  ,
     1.  -( .42694141425980040602081253503137421  )-( .42694141425980040602081253503137421  ), .42694141425980040602081253503137421  , .42694141425980040602081253503137421  ,   .42694141425980040602081253503137421  , 1.  -( .42694141425980040602081253503137421  )-( .42694141425980040602081253503137421  ), .42694141425980040602081253503137421  ,   .42694141425980040602081253503137421  , .42694141425980040602081253503137421  , 1.  -( .42694141425980040602081253503137421  )-( .42694141425980040602081253503137421  ),
     1.  -( .22137228629183290065481255470507908  )-( .22137228629183290065481255470507908  ), .22137228629183290065481255470507908  , .22137228629183290065481255470507908  ,   .22137228629183290065481255470507908  , 1.  -( .22137228629183290065481255470507908  )-( .22137228629183290065481255470507908  ), .22137228629183290065481255470507908  ,   .22137228629183290065481255470507908  , .22137228629183290065481255470507908  , 1.  -( .22137228629183290065481255470507908  )-( .22137228629183290065481255470507908  ),
     1.  -( .02150968110884318386929131353405208  )-( .02150968110884318386929131353405208  ), .02150968110884318386929131353405208  , .02150968110884318386929131353405208  ,   .02150968110884318386929131353405208  , 1.  -( .02150968110884318386929131353405208  )-( .02150968110884318386929131353405208  ), .02150968110884318386929131353405208  ,   .02150968110884318386929131353405208  , .02150968110884318386929131353405208  , 1.  -( .02150968110884318386929131353405208  )-( .02150968110884318386929131353405208  ),
     1.  -( .48907694645253934990068971909020439  )-( .48907694645253934990068971909020439  ), .48907694645253934990068971909020439  , .48907694645253934990068971909020439  ,   .48907694645253934990068971909020439  , 1.  -( .48907694645253934990068971909020439  )-( .48907694645253934990068971909020439  ), .48907694645253934990068971909020439  ,   .48907694645253934990068971909020439  , .48907694645253934990068971909020439  , 1.  -( .48907694645253934990068971909020439  )-( .48907694645253934990068971909020439  ),
    
 .62354599555367557081585435318623659  , .30844176089211777465847185254124531  , 1.  -( .62354599555367557081585435318623659  )-( .30844176089211777465847185254124531  ),   .62354599555367557081585435318623659  , 1.  -( .62354599555367557081585435318623659  )-( .30844176089211777465847185254124531  ), .30844176089211777465847185254124531  ,   .30844176089211777465847185254124531  , .62354599555367557081585435318623659  , 1.  -( .62354599555367557081585435318623659  )-( .30844176089211777465847185254124531  ),   .30844176089211777465847185254124531  , 1.  -( .62354599555367557081585435318623659  )-( .30844176089211777465847185254124531  ), .62354599555367557081585435318623659  ,   1.  -( .62354599555367557081585435318623659  )-( .30844176089211777465847185254124531  ), .62354599555367557081585435318623659  , .30844176089211777465847185254124531  ,   1.  -( .62354599555367557081585435318623659  )-( .30844176089211777465847185254124531  ), .30844176089211777465847185254124531  , .62354599555367557081585435318623659  ,
    
 .86470777029544277530254595089569318  , .11092204280346339541286954522167452  , 1.  -( .86470777029544277530254595089569318  )-( .11092204280346339541286954522167452  ),   .86470777029544277530254595089569318  , 1.  -( .86470777029544277530254595089569318  )-( .11092204280346339541286954522167452  ), .11092204280346339541286954522167452  ,   .11092204280346339541286954522167452  , .86470777029544277530254595089569318  , 1.  -( .86470777029544277530254595089569318  )-( .11092204280346339541286954522167452  ),   .11092204280346339541286954522167452  , 1.  -( .86470777029544277530254595089569318  )-( .11092204280346339541286954522167452  ), .86470777029544277530254595089569318  ,   1.  -( .86470777029544277530254595089569318  )-( .11092204280346339541286954522167452  ), .86470777029544277530254595089569318  , .11092204280346339541286954522167452  ,   1.  -( .86470777029544277530254595089569318  )-( .11092204280346339541286954522167452  ), .11092204280346339541286954522167452  , .86470777029544277530254595089569318  ,
    
 .74850711589995219517301859578870965  , .16359740106785048023388790171095725  , 1.  -( .74850711589995219517301859578870965  )-( .16359740106785048023388790171095725  ),   .74850711589995219517301859578870965  , 1.  -( .74850711589995219517301859578870965  )-( .16359740106785048023388790171095725  ), .16359740106785048023388790171095725  ,   .16359740106785048023388790171095725  , .74850711589995219517301859578870965  , 1.  -( .74850711589995219517301859578870965  )-( .16359740106785048023388790171095725  ),   .16359740106785048023388790171095725  , 1.  -( .74850711589995219517301859578870965  )-( .16359740106785048023388790171095725  ), .74850711589995219517301859578870965  ,   1.  -( .74850711589995219517301859578870965  )-( .16359740106785048023388790171095725  ), .74850711589995219517301859578870965  , .16359740106785048023388790171095725  ,   1.  -( .74850711589995219517301859578870965  )-( .16359740106785048023388790171095725  ), .16359740106785048023388790171095725  , .74850711589995219517301859578870965  ,
    
 .72235779312418796526062013230478405  , .27251581777342966618005046435408685  , 1.  -( .72235779312418796526062013230478405  )-( .27251581777342966618005046435408685  ),   .72235779312418796526062013230478405  , 1.  -( .72235779312418796526062013230478405  )-( .27251581777342966618005046435408685  ), .27251581777342966618005046435408685  ,   .27251581777342966618005046435408685  , .72235779312418796526062013230478405  , 1.  -( .72235779312418796526062013230478405  )-( .27251581777342966618005046435408685  ),   .27251581777342966618005046435408685  , 1.  -( .72235779312418796526062013230478405  )-( .27251581777342966618005046435408685  ), .72235779312418796526062013230478405  ,   1.  -( .72235779312418796526062013230478405  )-( .27251581777342966618005046435408685  ), .72235779312418796526062013230478405  , .27251581777342966618005046435408685  ,   1.  -( .72235779312418796526062013230478405  )-( .27251581777342966618005046435408685  ), .27251581777342966618005046435408685  , .72235779312418796526062013230478405  
}

Definition at line 669 of file quad.c.

                                                             {
    Perm3(.33333333333333333333333333333333333),
    Perm21(.42694141425980040602081253503137421),
    Perm21(.22137228629183290065481255470507908),
    Perm21(.02150968110884318386929131353405208),
    Perm21(.48907694645253934990068971909020439),
    Perm111(.62354599555367557081585435318623659,
        .30844176089211777465847185254124531),
    Perm111(.86470777029544277530254595089569318,
        .11092204280346339541286954522167452),
    Perm111(.74850711589995219517301859578870965,
        .16359740106785048023388790171095725),
    Perm111(.72235779312418796526062013230478405,
        .27251581777342966618005046435408685)
};

QUAD_2D_P13_wts

double QUAD_2D_P13_wts[]

static

Initial value:

= {
     .06796003658683164428177442468088488  ,
     .05560196753045332870725746601046147  , .05560196753045332870725746601046147  , .05560196753045332870725746601046147  ,
     .05827848511919998140476708351333981  , .05827848511919998140476708351333981  , .05827848511919998140476708351333981  ,
     .00605233710353917184179280003229082  , .00605233710353917184179280003229082  , .00605233710353917184179280003229082  ,
     .02399440192889473077371079945095965  , .02399440192889473077371079945095965  , .02399440192889473077371079945095965  ,
     .03464127614084837046598682851091822  , .03464127614084837046598682851091822  , .03464127614084837046598682851091822  , .03464127614084837046598682851091822  , .03464127614084837046598682851091822  , .03464127614084837046598682851091822  ,
     .01496540110516566726324585713290344  , .01496540110516566726324585713290344  , .01496540110516566726324585713290344  , .01496540110516566726324585713290344  , .01496540110516566726324585713290344  , .01496540110516566726324585713290344  ,
     .02417903981159381913744574557306076  , .02417903981159381913744574557306076  , .02417903981159381913744574557306076  , .02417903981159381913744574557306076  , .02417903981159381913744574557306076  , .02417903981159381913744574557306076  ,
     .00959068100354326272259509016611089  , .00959068100354326272259509016611089  , .00959068100354326272259509016611089  , .00959068100354326272259509016611089  , .00959068100354326272259509016611089  , .00959068100354326272259509016611089  
}

Definition at line 658 of file quad.c.

                                  {
    Dup3(.06796003658683164428177442468088488),
    Dup21(.05560196753045332870725746601046147),
    Dup21(.05827848511919998140476708351333981),
    Dup21(.00605233710353917184179280003229082),
    Dup21(.02399440192889473077371079945095965),
    Dup111(.03464127614084837046598682851091822),
    Dup111(.01496540110516566726324585713290344),
    Dup111(.02417903981159381913744574557306076),
    Dup111(.00959068100354326272259509016611089)
};

QUAD_2D_P14_

QUAD QUAD_2D_P14_

Initial value:

= {
    "2D P14",           
    2,              
    14,             
     (sizeof(QUAD_2D_P14_wts) / (sizeof(QUAD_2D_P14_wts[0]))) , 
    QUAD_2D_P14_pts,        
    QUAD_2D_P14_wts,        
    -1              
}

Definition at line 722 of file quad.c.

                    {
    "2D P14",           /* name */
    2,              /* dim */
    14,             /* order */
    Length(QUAD_2D_P14_wts),    /* npoints = 42 */
    QUAD_2D_P14_pts,        /* points */
    QUAD_2D_P14_wts,        /* weights */
    -1              /* id */
};

QUAD_2D_P14_pts

double QUAD_2D_P14_pts[(sizeof(QUAD_2D_P14_wts)/(sizeof(QUAD_2D_P14_wts[0]))) *3]

static

Initial value:

= {
     1.  -( .17720553241254343695661069046505908  )-( .17720553241254343695661069046505908  ), .17720553241254343695661069046505908  , .17720553241254343695661069046505908  ,   .17720553241254343695661069046505908  , 1.  -( .17720553241254343695661069046505908  )-( .17720553241254343695661069046505908  ), .17720553241254343695661069046505908  ,   .17720553241254343695661069046505908  , .17720553241254343695661069046505908  , 1.  -( .17720553241254343695661069046505908  )-( .17720553241254343695661069046505908  ),
     1.  -( .01939096124870104817825009505452951  )-( .01939096124870104817825009505452951  ), .01939096124870104817825009505452951  , .01939096124870104817825009505452951  ,   .01939096124870104817825009505452951  , 1.  -( .01939096124870104817825009505452951  )-( .01939096124870104817825009505452951  ), .01939096124870104817825009505452951  ,   .01939096124870104817825009505452951  , .01939096124870104817825009505452951  , 1.  -( .01939096124870104817825009505452951  )-( .01939096124870104817825009505452951  ),
     1.  -( .06179988309087260126747882843693579  )-( .06179988309087260126747882843693579  ), .06179988309087260126747882843693579  , .06179988309087260126747882843693579  ,   .06179988309087260126747882843693579  , 1.  -( .06179988309087260126747882843693579  )-( .06179988309087260126747882843693579  ), .06179988309087260126747882843693579  ,   .06179988309087260126747882843693579  , .06179988309087260126747882843693579  , 1.  -( .06179988309087260126747882843693579  )-( .06179988309087260126747882843693579  ),
     1.  -( .41764471934045392250944082218564344  )-( .41764471934045392250944082218564344  ), .41764471934045392250944082218564344  , .41764471934045392250944082218564344  ,   .41764471934045392250944082218564344  , 1.  -( .41764471934045392250944082218564344  )-( .41764471934045392250944082218564344  ), .41764471934045392250944082218564344  ,   .41764471934045392250944082218564344  , .41764471934045392250944082218564344  , 1.  -( .41764471934045392250944082218564344  )-( .41764471934045392250944082218564344  ),
     1.  -( .48896391036217863867737602045239024  )-( .48896391036217863867737602045239024  ), .48896391036217863867737602045239024  , .48896391036217863867737602045239024  ,   .48896391036217863867737602045239024  , 1.  -( .48896391036217863867737602045239024  )-( .48896391036217863867737602045239024  ), .48896391036217863867737602045239024  ,   .48896391036217863867737602045239024  , .48896391036217863867737602045239024  , 1.  -( .48896391036217863867737602045239024  )-( .48896391036217863867737602045239024  ),
     1.  -( .27347752830883865975494428326269856  )-( .27347752830883865975494428326269856  ), .27347752830883865975494428326269856  , .27347752830883865975494428326269856  ,   .27347752830883865975494428326269856  , 1.  -( .27347752830883865975494428326269856  )-( .27347752830883865975494428326269856  ), .27347752830883865975494428326269856  ,   .27347752830883865975494428326269856  , .27347752830883865975494428326269856  , 1.  -( .27347752830883865975494428326269856  )-( .27347752830883865975494428326269856  ),
    
 .17226668782135557837528960161365733  , .05712475740364793903567712421891471  , 1.  -( .17226668782135557837528960161365733  )-( .05712475740364793903567712421891471  ),   .17226668782135557837528960161365733  , 1.  -( .17226668782135557837528960161365733  )-( .05712475740364793903567712421891471  ), .05712475740364793903567712421891471  ,   .05712475740364793903567712421891471  , .17226668782135557837528960161365733  , 1.  -( .17226668782135557837528960161365733  )-( .05712475740364793903567712421891471  ),   .05712475740364793903567712421891471  , 1.  -( .17226668782135557837528960161365733  )-( .05712475740364793903567712421891471  ), .17226668782135557837528960161365733  ,   1.  -( .17226668782135557837528960161365733  )-( .05712475740364793903567712421891471  ), .17226668782135557837528960161365733  , .05712475740364793903567712421891471  ,   1.  -( .17226668782135557837528960161365733  )-( .05712475740364793903567712421891471  ), .05712475740364793903567712421891471  , .17226668782135557837528960161365733  ,
    
 .57022229084668317349769621336235426  , .09291624935697182475824858954872035  , 1.  -( .57022229084668317349769621336235426  )-( .09291624935697182475824858954872035  ),   .57022229084668317349769621336235426  , 1.  -( .57022229084668317349769621336235426  )-( .09291624935697182475824858954872035  ), .09291624935697182475824858954872035  ,   .09291624935697182475824858954872035  , .57022229084668317349769621336235426  , 1.  -( .57022229084668317349769621336235426  )-( .09291624935697182475824858954872035  ),   .09291624935697182475824858954872035  , 1.  -( .57022229084668317349769621336235426  )-( .09291624935697182475824858954872035  ), .57022229084668317349769621336235426  ,   1.  -( .57022229084668317349769621336235426  )-( .09291624935697182475824858954872035  ), .57022229084668317349769621336235426  , .09291624935697182475824858954872035  ,   1.  -( .57022229084668317349769621336235426  )-( .09291624935697182475824858954872035  ), .09291624935697182475824858954872035  , .57022229084668317349769621336235426  ,
    
 .29837288213625775297083151805961273  , .01464695005565440967054132792007421  , 1.  -( .29837288213625775297083151805961273  )-( .01464695005565440967054132792007421  ),   .29837288213625775297083151805961273  , 1.  -( .29837288213625775297083151805961273  )-( .01464695005565440967054132792007421  ), .01464695005565440967054132792007421  ,   .01464695005565440967054132792007421  , .29837288213625775297083151805961273  , 1.  -( .29837288213625775297083151805961273  )-( .01464695005565440967054132792007421  ),   .01464695005565440967054132792007421  , 1.  -( .29837288213625775297083151805961273  )-( .01464695005565440967054132792007421  ), .29837288213625775297083151805961273  ,   1.  -( .29837288213625775297083151805961273  )-( .01464695005565440967054132792007421  ), .29837288213625775297083151805961273  , .01464695005565440967054132792007421  ,   1.  -( .29837288213625775297083151805961273  )-( .01464695005565440967054132792007421  ), .01464695005565440967054132792007421  , .29837288213625775297083151805961273  ,
    
 .11897449769695684539818196192990548  , .00126833093287202508724640109549269  , 1.  -( .11897449769695684539818196192990548  )-( .00126833093287202508724640109549269  ),   .11897449769695684539818196192990548  , 1.  -( .11897449769695684539818196192990548  )-( .00126833093287202508724640109549269  ), .00126833093287202508724640109549269  ,   .00126833093287202508724640109549269  , .11897449769695684539818196192990548  , 1.  -( .11897449769695684539818196192990548  )-( .00126833093287202508724640109549269  ),   .00126833093287202508724640109549269  , 1.  -( .11897449769695684539818196192990548  )-( .00126833093287202508724640109549269  ), .11897449769695684539818196192990548  ,   1.  -( .11897449769695684539818196192990548  )-( .00126833093287202508724640109549269  ), .11897449769695684539818196192990548  , .00126833093287202508724640109549269  ,   1.  -( .11897449769695684539818196192990548  )-( .00126833093287202508724640109549269  ), .00126833093287202508724640109549269  , .11897449769695684539818196192990548  
}

Definition at line 706 of file quad.c.

                                                             {
    Perm21(.17720553241254343695661069046505908),
    Perm21(.01939096124870104817825009505452951),
    Perm21(.06179988309087260126747882843693579),
    Perm21(.41764471934045392250944082218564344),
    Perm21(.48896391036217863867737602045239024),
    Perm21(.27347752830883865975494428326269856),
    Perm111(.17226668782135557837528960161365733,
        .05712475740364793903567712421891471),
    Perm111(.57022229084668317349769621336235426,
        .09291624935697182475824858954872035),
    Perm111(.29837288213625775297083151805961273,
        .01464695005565440967054132792007421),
    Perm111(.11897449769695684539818196192990548,
        .00126833093287202508724640109549269)
};

QUAD_2D_P14_wts

double QUAD_2D_P14_wts[]

static

Initial value:

= {
     .04216258873699301753823043732418613  , .04216258873699301753823043732418613  , .04216258873699301753823043732418613  ,
     .00492340360240008168182602350904215  , .00492340360240008168182602350904215  , .00492340360240008168182602350904215  ,
     .01443369966977666760170992148065332  , .01443369966977666760170992148065332  , .01443369966977666760170992148065332  ,
     .03278835354412535064131097873862534  , .03278835354412535064131097873862534  , .03278835354412535064131097873862534  ,
     .02188358136942889064084494596332597  , .02188358136942889064084494596332597  , .02188358136942889064084494596332597  ,
     .05177410450729158631478491016639640  , .05177410450729158631478491016639640  , .05177410450729158631478491016639640  ,
     .02466575321256367396287524518363623  , .02466575321256367396287524518363623  , .02466575321256367396287524518363623  , .02466575321256367396287524518363623  , .02466575321256367396287524518363623  , .02466575321256367396287524518363623  ,
     .03857151078706068322848902781041086  , .03857151078706068322848902781041086  , .03857151078706068322848902781041086  , .03857151078706068322848902781041086  , .03857151078706068322848902781041086  , .03857151078706068322848902781041086  ,
     .01443630811353384049608869199901580  , .01443630811353384049608869199901580  , .01443630811353384049608869199901580  , .01443630811353384049608869199901580  , .01443630811353384049608869199901580  , .01443630811353384049608869199901580  ,
     .00501022883850067176986009308248912  , .00501022883850067176986009308248912  , .00501022883850067176986009308248912  , .00501022883850067176986009308248912  , .00501022883850067176986009308248912  , .00501022883850067176986009308248912  
}

Definition at line 694 of file quad.c.

                                  {
    Dup21(.04216258873699301753823043732418613),
    Dup21(.00492340360240008168182602350904215),
    Dup21(.01443369966977666760170992148065332),
    Dup21(.03278835354412535064131097873862534),
    Dup21(.02188358136942889064084494596332597),
    Dup21(.05177410450729158631478491016639640),
    Dup111(.02466575321256367396287524518363623),
    Dup111(.03857151078706068322848902781041086),
    Dup111(.01443630811353384049608869199901580),
    Dup111(.00501022883850067176986009308248912)
};

QUAD_2D_P15_

QUAD QUAD_2D_P15_

Initial value:

= {
    "2D P15",           
    2,              
    15,             
     (sizeof(QUAD_2D_P15_wts) / (sizeof(QUAD_2D_P15_wts[0]))) , 
    QUAD_2D_P15_pts,        
    QUAD_2D_P15_wts,        
    -1              
}

Definition at line 767 of file quad.c.

                    {
    "2D P15",           /* name */
    2,              /* dim */
    15,             /* order */
    Length(QUAD_2D_P15_wts),    /* npoints = 49 */
    QUAD_2D_P15_pts,        /* points */
    QUAD_2D_P15_wts,        /* weights */
    -1              /* id */
};

QUAD_2D_P15_pts

double QUAD_2D_P15_pts[(sizeof(QUAD_2D_P15_wts)/(sizeof(QUAD_2D_P15_wts[0]))) *3]

static

Initial value:

= {
     1.  / 3.  , 1.  / 3.  , 1.  / 3.  ,
     1.  -( .11022229622834687297855264132259850  )-( .11022229622834687297855264132259850  ), .11022229622834687297855264132259850  , .11022229622834687297855264132259850  ,   .11022229622834687297855264132259850  , 1.  -( .11022229622834687297855264132259850  )-( .11022229622834687297855264132259850  ), .11022229622834687297855264132259850  ,   .11022229622834687297855264132259850  , .11022229622834687297855264132259850  , 1.  -( .11022229622834687297855264132259850  )-( .11022229622834687297855264132259850  ),
     1.  -( .05197643301003435047003197947889073  )-( .05197643301003435047003197947889073  ), .05197643301003435047003197947889073  , .05197643301003435047003197947889073  ,   .05197643301003435047003197947889073  , 1.  -( .05197643301003435047003197947889073  )-( .05197643301003435047003197947889073  ), .05197643301003435047003197947889073  ,   .05197643301003435047003197947889073  , .05197643301003435047003197947889073  , 1.  -( .05197643301003435047003197947889073  )-( .05197643301003435047003197947889073  ),
     1.  -( .49114565807532554119014945122395425  )-( .49114565807532554119014945122395425  ), .49114565807532554119014945122395425  , .49114565807532554119014945122395425  ,   .49114565807532554119014945122395425  , 1.  -( .49114565807532554119014945122395425  )-( .49114565807532554119014945122395425  ), .49114565807532554119014945122395425  ,   .49114565807532554119014945122395425  , .49114565807532554119014945122395425  , 1.  -( .49114565807532554119014945122395425  )-( .49114565807532554119014945122395425  ),
     1.  -( .39315718888435884048226809785071794  )-( .39315718888435884048226809785071794  ), .39315718888435884048226809785071794  , .39315718888435884048226809785071794  ,   .39315718888435884048226809785071794  , 1.  -( .39315718888435884048226809785071794  )-( .39315718888435884048226809785071794  ), .39315718888435884048226809785071794  ,   .39315718888435884048226809785071794  , .39315718888435884048226809785071794  , 1.  -( .39315718888435884048226809785071794  )-( .39315718888435884048226809785071794  ),
    
 .03737440487572919066543605209836625  , .96251835223001214880811969560396873  , 1.  -( .03737440487572919066543605209836625  )-( .96251835223001214880811969560396873  ),   .03737440487572919066543605209836625  , 1.  -( .03737440487572919066543605209836625  )-( .96251835223001214880811969560396873  ), .96251835223001214880811969560396873  ,   .96251835223001214880811969560396873  , .03737440487572919066543605209836625  , 1.  -( .03737440487572919066543605209836625  )-( .96251835223001214880811969560396873  ),   .96251835223001214880811969560396873  , 1.  -( .03737440487572919066543605209836625  )-( .96251835223001214880811969560396873  ), .03737440487572919066543605209836625  ,   1.  -( .03737440487572919066543605209836625  )-( .96251835223001214880811969560396873  ), .03737440487572919066543605209836625  , .96251835223001214880811969560396873  ,   1.  -( .03737440487572919066543605209836625  )-( .96251835223001214880811969560396873  ), .96251835223001214880811969560396873  , .03737440487572919066543605209836625  ,
    
 .24824877798467321198263980694374938  , .19316669854521416819773100288721521  , 1.  -( .24824877798467321198263980694374938  )-( .19316669854521416819773100288721521  ),   .24824877798467321198263980694374938  , 1.  -( .24824877798467321198263980694374938  )-( .19316669854521416819773100288721521  ), .19316669854521416819773100288721521  ,   .19316669854521416819773100288721521  , .24824877798467321198263980694374938  , 1.  -( .24824877798467321198263980694374938  )-( .19316669854521416819773100288721521  ),   .19316669854521416819773100288721521  , 1.  -( .24824877798467321198263980694374938  )-( .19316669854521416819773100288721521  ), .24824877798467321198263980694374938  ,   1.  -( .24824877798467321198263980694374938  )-( .19316669854521416819773100288721521  ), .24824877798467321198263980694374938  , .19316669854521416819773100288721521  ,   1.  -( .24824877798467321198263980694374938  )-( .19316669854521416819773100288721521  ), .19316669854521416819773100288721521  , .24824877798467321198263980694374938  ,
    
 .20699402274830217740486528153682148  , .08689590883549962551575259619781217  , 1.  -( .20699402274830217740486528153682148  )-( .08689590883549962551575259619781217  ),   .20699402274830217740486528153682148  , 1.  -( .20699402274830217740486528153682148  )-( .08689590883549962551575259619781217  ), .08689590883549962551575259619781217  ,   .08689590883549962551575259619781217  , .20699402274830217740486528153682148  , 1.  -( .20699402274830217740486528153682148  )-( .08689590883549962551575259619781217  ),   .08689590883549962551575259619781217  , 1.  -( .20699402274830217740486528153682148  )-( .08689590883549962551575259619781217  ), .20699402274830217740486528153682148  ,   1.  -( .20699402274830217740486528153682148  )-( .08689590883549962551575259619781217  ), .20699402274830217740486528153682148  , .08689590883549962551575259619781217  ,   1.  -( .20699402274830217740486528153682148  )-( .08689590883549962551575259619781217  ), .08689590883549962551575259619781217  , .20699402274830217740486528153682148  ,
    
 .14854110526954708137688902238435510  , .01743682539845430796259020511767948  , 1.  -( .14854110526954708137688902238435510  )-( .01743682539845430796259020511767948  ),   .14854110526954708137688902238435510  , 1.  -( .14854110526954708137688902238435510  )-( .01743682539845430796259020511767948  ), .01743682539845430796259020511767948  ,   .01743682539845430796259020511767948  , .14854110526954708137688902238435510  , 1.  -( .14854110526954708137688902238435510  )-( .01743682539845430796259020511767948  ),   .01743682539845430796259020511767948  , 1.  -( .14854110526954708137688902238435510  )-( .01743682539845430796259020511767948  ), .14854110526954708137688902238435510  ,   1.  -( .14854110526954708137688902238435510  )-( .01743682539845430796259020511767948  ), .14854110526954708137688902238435510  , .01743682539845430796259020511767948  ,   1.  -( .14854110526954708137688902238435510  )-( .01743682539845430796259020511767948  ), .01743682539845430796259020511767948  , .14854110526954708137688902238435510  ,
    
 .30674237923596382376588728350286621  , .01749251095825766163254977051260599  , 1.  -( .30674237923596382376588728350286621  )-( .01749251095825766163254977051260599  ),   .30674237923596382376588728350286621  , 1.  -( .30674237923596382376588728350286621  )-( .01749251095825766163254977051260599  ), .01749251095825766163254977051260599  ,   .01749251095825766163254977051260599  , .30674237923596382376588728350286621  , 1.  -( .30674237923596382376588728350286621  )-( .01749251095825766163254977051260599  ),   .01749251095825766163254977051260599  , 1.  -( .30674237923596382376588728350286621  )-( .01749251095825766163254977051260599  ), .30674237923596382376588728350286621  ,   1.  -( .30674237923596382376588728350286621  )-( .01749251095825766163254977051260599  ), .30674237923596382376588728350286621  , .01749251095825766163254977051260599  ,   1.  -( .30674237923596382376588728350286621  )-( .01749251095825766163254977051260599  ), .01749251095825766163254977051260599  , .30674237923596382376588728350286621  ,
    
 .36703198754220473278855469116984882  , .09034802175864556044634095119222305  , 1.  -( .36703198754220473278855469116984882  )-( .09034802175864556044634095119222305  ),   .36703198754220473278855469116984882  , 1.  -( .36703198754220473278855469116984882  )-( .09034802175864556044634095119222305  ), .09034802175864556044634095119222305  ,   .09034802175864556044634095119222305  , .36703198754220473278855469116984882  , 1.  -( .36703198754220473278855469116984882  )-( .09034802175864556044634095119222305  ),   .09034802175864556044634095119222305  , 1.  -( .36703198754220473278855469116984882  )-( .09034802175864556044634095119222305  ), .36703198754220473278855469116984882  ,   1.  -( .36703198754220473278855469116984882  )-( .09034802175864556044634095119222305  ), .36703198754220473278855469116984882  , .09034802175864556044634095119222305  ,   1.  -( .36703198754220473278855469116984882  )-( .09034802175864556044634095119222305  ), .09034802175864556044634095119222305  , .36703198754220473278855469116984882  
}

Definition at line 748 of file quad.c.

                                                             {
    Perm3(.33333333333333333333333333333333333),
    Perm21(.11022229622834687297855264132259850),
    Perm21(.05197643301003435047003197947889073),
    Perm21(.49114565807532554119014945122395425),
    Perm21(.39315718888435884048226809785071794),
    Perm111(.03737440487572919066543605209836625,
        .96251835223001214880811969560396873),
    Perm111(.24824877798467321198263980694374938,
        .19316669854521416819773100288721521),
    Perm111(.20699402274830217740486528153682148,
        .08689590883549962551575259619781217),
    Perm111(.14854110526954708137688902238435510,
        .01743682539845430796259020511767948),
    Perm111(.30674237923596382376588728350286621,
        .01749251095825766163254977051260599),
    Perm111(.36703198754220473278855469116984882,
        .09034802175864556044634095119222305)
};

QUAD_2D_P15_wts

double QUAD_2D_P15_wts[]

static

Initial value:

= {
     .02357126703190634206659321140821418  ,
     .01517314955721170450311858877690239  , .01517314955721170450311858877690239  , .01517314955721170450311858877690239  ,
     .01297600128392884154979521077280757  , .01297600128392884154979521077280757  , .01297600128392884154979521077280757  ,
     .01706629596800615670942600046160914  , .01706629596800615670942600046160914  , .01706629596800615670942600046160914  ,
     .04576001946273760698482638108892258  , .04576001946273760698482638108892258  , .04576001946273760698482638108892258  ,
     .00222757447282223154006065426298478  , .00222757447282223154006065426298478  , .00222757447282223154006065426298478  , .00222757447282223154006065426298478  , .00222757447282223154006065426298478  , .00222757447282223154006065426298478  ,
     .02701014165986947101315702212247500  , .02701014165986947101315702212247500  , .02701014165986947101315702212247500  , .02701014165986947101315702212247500  , .02701014165986947101315702212247500  , .02701014165986947101315702212247500  ,
     .02608377963958756403057720483642768  , .02608377963958756403057720483642768  , .02608377963958756403057720483642768  , .02608377963958756403057720483642768  , .02608377963958756403057720483642768  , .02608377963958756403057720483642768  ,
     .01211015327702828337230795926322736  , .01211015327702828337230795926322736  , .01211015327702828337230795926322736  , .01211015327702828337230795926322736  , .01211015327702828337230795926322736  , .01211015327702828337230795926322736  ,
     .01564785059680444573399007149035058  , .01564785059680444573399007149035058  , .01564785059680444573399007149035058  , .01564785059680444573399007149035058  , .01564785059680444573399007149035058  , .01564785059680444573399007149035058  ,
     .03417088937929479242522512890637806  , .03417088937929479242522512890637806  , .03417088937929479242522512890637806  , .03417088937929479242522512890637806  , .03417088937929479242522512890637806  , .03417088937929479242522512890637806  
}

Definition at line 735 of file quad.c.

                                  {
    Dup3(.02357126703190634206659321140821418),
    Dup21(.01517314955721170450311858877690239),
    Dup21(.01297600128392884154979521077280757),
    Dup21(.01706629596800615670942600046160914),
    Dup21(.04576001946273760698482638108892258),
    Dup111(.00222757447282223154006065426298478),
    Dup111(.02701014165986947101315702212247500),
    Dup111(.02608377963958756403057720483642768),
    Dup111(.01211015327702828337230795926322736),
    Dup111(.01564785059680444573399007149035058),
    Dup111(.03417088937929479242522512890637806)
};

QUAD_2D_P16_

QUAD QUAD_2D_P16_

Initial value:

= {
    "2D P16",           
    2,              
    16,             
     (sizeof(QUAD_2D_P16_wts) / (sizeof(QUAD_2D_P16_wts[0]))) , 
    QUAD_2D_P16_pts,        
    QUAD_2D_P16_wts,        
    -1              
}

Definition at line 813 of file quad.c.

                    {
    "2D P16",           /* name */
    2,              /* dim */
    16,             /* order */
    Length(QUAD_2D_P16_wts),    /* npoints = 55 */
    QUAD_2D_P16_pts,        /* points */
    QUAD_2D_P16_wts,        /* weights */
    -1              /* id */
};

QUAD_2D_P16_pts

double QUAD_2D_P16_pts[(sizeof(QUAD_2D_P16_wts)/(sizeof(QUAD_2D_P16_wts[0]))) *3]

static

Initial value:

= {
     1.  / 3.  , 1.  / 3.  , 1.  / 3.  ,
     1.  -( .08179498313137387264146559311886101  )-( .08179498313137387264146559311886101  ), .08179498313137387264146559311886101  , .08179498313137387264146559311886101  ,   .08179498313137387264146559311886101  , 1.  -( .08179498313137387264146559311886101  )-( .08179498313137387264146559311886101  ), .08179498313137387264146559311886101  ,   .08179498313137387264146559311886101  , .08179498313137387264146559311886101  , 1.  -( .08179498313137387264146559311886101  )-( .08179498313137387264146559311886101  ),
     1.  -( .16530060196977965062676193293355656  )-( .16530060196977965062676193293355656  ), .16530060196977965062676193293355656  , .16530060196977965062676193293355656  ,   .16530060196977965062676193293355656  , 1.  -( .16530060196977965062676193293355656  )-( .16530060196977965062676193293355656  ), .16530060196977965062676193293355656  ,   .16530060196977965062676193293355656  , .16530060196977965062676193293355656  , 1.  -( .16530060196977965062676193293355656  )-( .16530060196977965062676193293355656  ),
     1.  -( .46859210534946138669460289729660561  )-( .46859210534946138669460289729660561  ), .46859210534946138669460289729660561  , .46859210534946138669460289729660561  ,   .46859210534946138669460289729660561  , 1.  -( .46859210534946138669460289729660561  )-( .46859210534946138669460289729660561  ), .46859210534946138669460289729660561  ,   .46859210534946138669460289729660561  , .46859210534946138669460289729660561  , 1.  -( .46859210534946138669460289729660561  )-( .46859210534946138669460289729660561  ),
     1.  -( .01443881344541668261410895669566020  )-( .01443881344541668261410895669566020  ), .01443881344541668261410895669566020  , .01443881344541668261410895669566020  ,   .01443881344541668261410895669566020  , 1.  -( .01443881344541668261410895669566020  )-( .01443881344541668261410895669566020  ), .01443881344541668261410895669566020  ,   .01443881344541668261410895669566020  , .01443881344541668261410895669566020  , 1.  -( .01443881344541668261410895669566020  )-( .01443881344541668261410895669566020  ),
     1.  -( .24178428539178335340689445929320769  )-( .24178428539178335340689445929320769  ), .24178428539178335340689445929320769  , .24178428539178335340689445929320769  ,   .24178428539178335340689445929320769  , 1.  -( .24178428539178335340689445929320769  )-( .24178428539178335340689445929320769  ), .24178428539178335340689445929320769  ,   .24178428539178335340689445929320769  , .24178428539178335340689445929320769  , 1.  -( .24178428539178335340689445929320769  )-( .24178428539178335340689445929320769  ),
     1.  -( .49531034298776996406549508687740551  )-( .49531034298776996406549508687740551  ), .49531034298776996406549508687740551  , .49531034298776996406549508687740551  ,   .49531034298776996406549508687740551  , 1.  -( .49531034298776996406549508687740551  )-( .49531034298776996406549508687740551  ), .49531034298776996406549508687740551  ,   .49531034298776996406549508687740551  , .49531034298776996406549508687740551  , 1.  -( .49531034298776996406549508687740551  )-( .49531034298776996406549508687740551  ),
    
 .65051340266135229943114468484168666  , .33139974453708955658132316818259388  , 1.  -( .65051340266135229943114468484168666  )-( .33139974453708955658132316818259388  ),   .65051340266135229943114468484168666  , 1.  -( .65051340266135229943114468484168666  )-( .33139974453708955658132316818259388  ), .33139974453708955658132316818259388  ,   .33139974453708955658132316818259388  , .65051340266135229943114468484168666  , 1.  -( .65051340266135229943114468484168666  )-( .33139974453708955658132316818259388  ),   .33139974453708955658132316818259388  , 1.  -( .65051340266135229943114468484168666  )-( .33139974453708955658132316818259388  ), .65051340266135229943114468484168666  ,   1.  -( .65051340266135229943114468484168666  )-( .33139974453708955658132316818259388  ), .65051340266135229943114468484168666  , .33139974453708955658132316818259388  ,   1.  -( .65051340266135229943114468484168666  )-( .33139974453708955658132316818259388  ), .33139974453708955658132316818259388  , .65051340266135229943114468484168666  ,
    
 .60401128149599703984940410303596702  , .30324716274994218504155217807834692  , 1.  -( .60401128149599703984940410303596702  )-( .30324716274994218504155217807834692  ),   .60401128149599703984940410303596702  , 1.  -( .60401128149599703984940410303596702  )-( .30324716274994218504155217807834692  ), .30324716274994218504155217807834692  ,   .30324716274994218504155217807834692  , .60401128149599703984940410303596702  , 1.  -( .60401128149599703984940410303596702  )-( .30324716274994218504155217807834692  ),   .30324716274994218504155217807834692  , 1.  -( .60401128149599703984940410303596702  )-( .30324716274994218504155217807834692  ), .60401128149599703984940410303596702  ,   1.  -( .60401128149599703984940410303596702  )-( .30324716274994218504155217807834692  ), .60401128149599703984940410303596702  , .30324716274994218504155217807834692  ,   1.  -( .60401128149599703984940410303596702  )-( .30324716274994218504155217807834692  ), .30324716274994218504155217807834692  , .60401128149599703984940410303596702  ,
    
 .80216825757474166361686194781166705  , .18802805952123717344418211429398875  , 1.  -( .80216825757474166361686194781166705  )-( .18802805952123717344418211429398875  ),   .80216825757474166361686194781166705  , 1.  -( .80216825757474166361686194781166705  )-( .18802805952123717344418211429398875  ), .18802805952123717344418211429398875  ,   .18802805952123717344418211429398875  , .80216825757474166361686194781166705  , 1.  -( .80216825757474166361686194781166705  )-( .18802805952123717344418211429398875  ),   .18802805952123717344418211429398875  , 1.  -( .80216825757474166361686194781166705  )-( .18802805952123717344418211429398875  ), .80216825757474166361686194781166705  ,   1.  -( .80216825757474166361686194781166705  )-( .18802805952123717344418211429398875  ), .80216825757474166361686194781166705  , .18802805952123717344418211429398875  ,   1.  -( .80216825757474166361686194781166705  )-( .18802805952123717344418211429398875  ), .18802805952123717344418211429398875  , .80216825757474166361686194781166705  ,
    
 .75650560644282839655115407575806082  , .18350466852229686368238027743700035  , 1.  -( .75650560644282839655115407575806082  )-( .18350466852229686368238027743700035  ),   .75650560644282839655115407575806082  , 1.  -( .75650560644282839655115407575806082  )-( .18350466852229686368238027743700035  ), .18350466852229686368238027743700035  ,   .18350466852229686368238027743700035  , .75650560644282839655115407575806082  , 1.  -( .75650560644282839655115407575806082  )-( .18350466852229686368238027743700035  ),   .18350466852229686368238027743700035  , 1.  -( .75650560644282839655115407575806082  )-( .18350466852229686368238027743700035  ), .75650560644282839655115407575806082  ,   1.  -( .75650560644282839655115407575806082  )-( .18350466852229686368238027743700035  ), .75650560644282839655115407575806082  , .18350466852229686368238027743700035  ,   1.  -( .75650560644282839655115407575806082  )-( .18350466852229686368238027743700035  ), .18350466852229686368238027743700035  , .75650560644282839655115407575806082  ,
    
 .46593843871411818488381073359154639  , .35964594879750460000000000000001000  , 1.  -( .46593843871411818488381073359154639  )-( .35964594879750460000000000000001000  ),   .46593843871411818488381073359154639  , 1.  -( .46593843871411818488381073359154639  )-( .35964594879750460000000000000001000  ), .35964594879750460000000000000001000  ,   .35964594879750460000000000000001000  , .46593843871411818488381073359154639  , 1.  -( .46593843871411818488381073359154639  )-( .35964594879750460000000000000001000  ),   .35964594879750460000000000000001000  , 1.  -( .46593843871411818488381073359154639  )-( .35964594879750460000000000000001000  ), .46593843871411818488381073359154639  ,   1.  -( .46593843871411818488381073359154639  )-( .35964594879750460000000000000001000  ), .46593843871411818488381073359154639  , .35964594879750460000000000000001000  ,   1.  -( .46593843871411818488381073359154639  )-( .35964594879750460000000000000001000  ), .35964594879750460000000000000001000  , .46593843871411818488381073359154639  ,
    
 .90639484399204150136249966186534000  , .07719437129575543228251522505271386  , 1.  -( .90639484399204150136249966186534000  )-( .07719437129575543228251522505271386  ),   .90639484399204150136249966186534000  , 1.  -( .90639484399204150136249966186534000  )-( .07719437129575543228251522505271386  ), .07719437129575543228251522505271386  ,   .07719437129575543228251522505271386  , .90639484399204150136249966186534000  , 1.  -( .90639484399204150136249966186534000  )-( .07719437129575543228251522505271386  ),   .07719437129575543228251522505271386  , 1.  -( .90639484399204150136249966186534000  )-( .07719437129575543228251522505271386  ), .90639484399204150136249966186534000  ,   1.  -( .90639484399204150136249966186534000  )-( .07719437129575543228251522505271386  ), .90639484399204150136249966186534000  , .07719437129575543228251522505271386  ,   1.  -( .90639484399204150136249966186534000  )-( .07719437129575543228251522505271386  ), .07719437129575543228251522505271386  , .90639484399204150136249966186534000  
}

Definition at line 792 of file quad.c.

                                                             {
    Perm3(.33333333333333333333333333333333333),
    Perm21(.08179498313137387264146559311886101),
    Perm21(.16530060196977965062676193293355656),
    Perm21(.46859210534946138669460289729660561),
    Perm21(.01443881344541668261410895669566020),
    Perm21(.24178428539178335340689445929320769),
    Perm21(.49531034298776996406549508687740551),
    Perm111(.65051340266135229943114468484168666,
        .33139974453708955658132316818259388),
    Perm111(.60401128149599703984940410303596702,
        .30324716274994218504155217807834692),
    Perm111(.80216825757474166361686194781166705,
        .18802805952123717344418211429398875),
    Perm111(.75650560644282839655115407575806082,
        .18350466852229686368238027743700035),
    Perm111(.46593843871411818488381073359154639,
        .35964594879750460000000000000001000),
    Perm111(.90639484399204150136249966186534000,
        .07719437129575543228251522505271386)
};

QUAD_2D_P16_wts

double QUAD_2D_P16_wts[]

static

Initial value:

= {
     .04802218868037709055183940458051988  ,
     .01470910030680192710340364286186919  , .01470910030680192710340364286186919  , .01470910030680192710340364286186919  ,
     .02954458654931925599530972679646409  , .02954458654931925599530972679646409  , .02954458654931925599530972679646409  ,
     .02612501735108837749859756549171557  , .02612501735108837749859756549171557  , .02612501735108837749859756549171557  ,
     .00278038735239000697500301613866207  , .00278038735239000697500301613866207  , .00278038735239000697500301613866207  ,
     .03182177300053664950342729005594961  , .03182177300053664950342729005594961  , .03182177300053664950342729005594961  ,
     .00864583434950965990117373416984893  , .00864583434950965990117373416984893  , .00864583434950965990117373416984893  ,
     .01430033290449536514661642536825213  , .01430033290449536514661642536825213  , .01430033290449536514661642536825213  , .01430033290449536514661642536825213  , .01430033290449536514661642536825213  , .01430033290449536514661642536825213  ,
     .02784977720360082995222987342395349  , .02784977720360082995222987342395349  , .02784977720360082995222987342395349  , .02784977720360082995222987342395349  , .02784977720360082995222987342395349  , .02784977720360082995222987342395349  ,
     .00704167340663609756237018808928069  , .00704167340663609756237018808928069  , .00704167340663609756237018808928069  , .00704167340663609756237018808928069  , .00704167340663609756237018808928069  , .00704167340663609756237018808928069  ,
     .01789983825993372860177020907581078  , .01789983825993372860177020907581078  , .01789983825993372860177020907581078  , .01789983825993372860177020907581078  , .01789983825993372860177020907581078  , .01789983825993372860177020907581078  ,
     .02745820038434976307247003810091720  , .02745820038434976307247003810091720  , .02745820038434976307247003810091720  , .02745820038434976307247003810091720  , .02745820038434976307247003810091720  , .02745820038434976307247003810091720  ,
     .00729979693943176208411254408777766  , .00729979693943176208411254408777766  , .00729979693943176208411254408777766  , .00729979693943176208411254408777766  , .00729979693943176208411254408777766  , .00729979693943176208411254408777766  
}

Definition at line 777 of file quad.c.

                                  {
    Dup3(.04802218868037709055183940458051988),
    Dup21(.01470910030680192710340364286186919),
    Dup21(.02954458654931925599530972679646409),
    Dup21(.02612501735108837749859756549171557),
    Dup21(.00278038735239000697500301613866207),
    Dup21(.03182177300053664950342729005594961),
    Dup21(.00864583434950965990117373416984893),
    Dup111(.01430033290449536514661642536825213),
    Dup111(.02784977720360082995222987342395349),
    Dup111(.00704167340663609756237018808928069),
    Dup111(.01789983825993372860177020907581078),
    Dup111(.02745820038434976307247003810091720),
    Dup111(.00729979693943176208411254408777766)
};

QUAD_2D_P17_

QUAD QUAD_2D_P17_

Initial value:

= {
    "2D P17",           
    2,              
    17,             
     (sizeof(QUAD_2D_P17_wts) / (sizeof(QUAD_2D_P17_wts[0]))) , 
    QUAD_2D_P17_pts,        
    QUAD_2D_P17_wts,        
    -1              
}

Definition at line 867 of file quad.c.

                    {
    "2D P17",           /* name */
    2,              /* dim */
    17,             /* order */
    Length(QUAD_2D_P17_wts),    /* npoints = 60 */
    QUAD_2D_P17_pts,        /* points */
    QUAD_2D_P17_wts,        /* weights */
    -1              /* id */
};

QUAD_2D_P17_pts

double QUAD_2D_P17_pts[(sizeof(QUAD_2D_P17_wts)/(sizeof(QUAD_2D_P17_wts[0]))) *3]

static

Initial value:

= {
     1.  -( .24056306963626902977934166278860247  )-( .24056306963626902977934166278860247  ), .24056306963626902977934166278860247  , .24056306963626902977934166278860247  ,   .24056306963626902977934166278860247  , 1.  -( .24056306963626902977934166278860247  )-( .24056306963626902977934166278860247  ), .24056306963626902977934166278860247  ,   .24056306963626902977934166278860247  , .24056306963626902977934166278860247  , 1.  -( .24056306963626902977934166278860247  )-( .24056306963626902977934166278860247  ),
     1.  -( .08092323589766073062004798772340524  )-( .08092323589766073062004798772340524  ), .08092323589766073062004798772340524  , .08092323589766073062004798772340524  ,   .08092323589766073062004798772340524  , 1.  -( .08092323589766073062004798772340524  )-( .08092323589766073062004798772340524  ), .08092323589766073062004798772340524  ,   .08092323589766073062004798772340524  , .08092323589766073062004798772340524  , 1.  -( .08092323589766073062004798772340524  )-( .08092323589766073062004798772340524  ),
     1.  -( .01001414912499135088254841140047604  )-( .01001414912499135088254841140047604  ), .01001414912499135088254841140047604  , .01001414912499135088254841140047604  ,   .01001414912499135088254841140047604  , 1.  -( .01001414912499135088254841140047604  )-( .01001414912499135088254841140047604  ), .01001414912499135088254841140047604  ,   .01001414912499135088254841140047604  , .01001414912499135088254841140047604  , 1.  -( .01001414912499135088254841140047604  )-( .01001414912499135088254841140047604  ),
     1.  -( .15437652078663289107430782196727737  )-( .15437652078663289107430782196727737  ), .15437652078663289107430782196727737  , .15437652078663289107430782196727737  ,   .15437652078663289107430782196727737  , 1.  -( .15437652078663289107430782196727737  )-( .15437652078663289107430782196727737  ), .15437652078663289107430782196727737  ,   .15437652078663289107430782196727737  , .15437652078663289107430782196727737  , 1.  -( .15437652078663289107430782196727737  )-( .15437652078663289107430782196727737  ),
     1.  -( .41716986201996268598941663596983268  )-( .41716986201996268598941663596983268  ), .41716986201996268598941663596983268  , .41716986201996268598941663596983268  ,   .41716986201996268598941663596983268  , 1.  -( .41716986201996268598941663596983268  )-( .41716986201996268598941663596983268  ), .41716986201996268598941663596983268  ,   .41716986201996268598941663596983268  , .41716986201996268598941663596983268  , 1.  -( .41716986201996268598941663596983268  )-( .41716986201996268598941663596983268  ),
     1.  -( .47086974573840098186867398532866671  )-( .47086974573840098186867398532866671  ), .47086974573840098186867398532866671  , .47086974573840098186867398532866671  ,   .47086974573840098186867398532866671  , 1.  -( .47086974573840098186867398532866671  )-( .47086974573840098186867398532866671  ), .47086974573840098186867398532866671  ,   .47086974573840098186867398532866671  , .47086974573840098186867398532866671  , 1.  -( .47086974573840098186867398532866671  )-( .47086974573840098186867398532866671  ),
     1.  -( .49811803384542204444865152799034832  )-( .49811803384542204444865152799034832  ), .49811803384542204444865152799034832  , .49811803384542204444865152799034832  ,   .49811803384542204444865152799034832  , 1.  -( .49811803384542204444865152799034832  )-( .49811803384542204444865152799034832  ), .49811803384542204444865152799034832  ,   .49811803384542204444865152799034832  , .49811803384542204444865152799034832  , 1.  -( .49811803384542204444865152799034832  )-( .49811803384542204444865152799034832  ),
     1.  -( .36473840565291924199871629076775930  )-( .36473840565291924199871629076775930  ), .36473840565291924199871629076775930  , .36473840565291924199871629076775930  ,   .36473840565291924199871629076775930  , 1.  -( .36473840565291924199871629076775930  )-( .36473840565291924199871629076775930  ), .36473840565291924199871629076775930  ,   .36473840565291924199871629076775930  , .36473840565291924199871629076775930  , 1.  -( .36473840565291924199871629076775930  )-( .36473840565291924199871629076775930  ),
    
 .10986590708262616153720966373050601  , .30466576969866569523225839525499357  , 1.  -( .10986590708262616153720966373050601  )-( .30466576969866569523225839525499357  ),   .10986590708262616153720966373050601  , 1.  -( .10986590708262616153720966373050601  )-( .30466576969866569523225839525499357  ), .30466576969866569523225839525499357  ,   .30466576969866569523225839525499357  , .10986590708262616153720966373050601  , 1.  -( .10986590708262616153720966373050601  )-( .30466576969866569523225839525499357  ),   .30466576969866569523225839525499357  , 1.  -( .10986590708262616153720966373050601  )-( .30466576969866569523225839525499357  ), .10986590708262616153720966373050601  ,   1.  -( .10986590708262616153720966373050601  )-( .30466576969866569523225839525499357  ), .10986590708262616153720966373050601  , .30466576969866569523225839525499357  ,   1.  -( .10986590708262616153720966373050601  )-( .30466576969866569523225839525499357  ), .30466576969866569523225839525499357  , .10986590708262616153720966373050601  ,
    
 .20493227462918790108024139159058423  , .05248758390645425414786013344982922  , 1.  -( .20493227462918790108024139159058423  )-( .05248758390645425414786013344982922  ),   .20493227462918790108024139159058423  , 1.  -( .20493227462918790108024139159058423  )-( .05248758390645425414786013344982922  ), .05248758390645425414786013344982922  ,   .05248758390645425414786013344982922  , .20493227462918790108024139159058423  , 1.  -( .20493227462918790108024139159058423  )-( .05248758390645425414786013344982922  ),   .05248758390645425414786013344982922  , 1.  -( .20493227462918790108024139159058423  )-( .05248758390645425414786013344982922  ), .20493227462918790108024139159058423  ,   1.  -( .20493227462918790108024139159058423  )-( .05248758390645425414786013344982922  ), .20493227462918790108024139159058423  , .05248758390645425414786013344982922  ,   1.  -( .20493227462918790108024139159058423  )-( .05248758390645425414786013344982922  ), .05248758390645425414786013344982922  , .20493227462918790108024139159058423  ,
    
 .05813921564266244000000000000000000  , .01500053995225954378593128753997425  , 1.  -( .05813921564266244000000000000000000  )-( .01500053995225954378593128753997425  ),   .05813921564266244000000000000000000  , 1.  -( .05813921564266244000000000000000000  )-( .01500053995225954378593128753997425  ), .01500053995225954378593128753997425  ,   .01500053995225954378593128753997425  , .05813921564266244000000000000000000  , 1.  -( .05813921564266244000000000000000000  )-( .01500053995225954378593128753997425  ),   .01500053995225954378593128753997425  , 1.  -( .05813921564266244000000000000000000  )-( .01500053995225954378593128753997425  ), .05813921564266244000000000000000000  ,   1.  -( .05813921564266244000000000000000000  )-( .01500053995225954378593128753997425  ), .05813921564266244000000000000000000  , .01500053995225954378593128753997425  ,   1.  -( .05813921564266244000000000000000000  )-( .01500053995225954378593128753997425  ), .01500053995225954378593128753997425  , .05813921564266244000000000000000000  ,
    
 .13859554086776482539309659376771751  , .01501023347973182500884052064335399  , 1.  -( .13859554086776482539309659376771751  )-( .01501023347973182500884052064335399  ),   .13859554086776482539309659376771751  , 1.  -( .13859554086776482539309659376771751  )-( .01501023347973182500884052064335399  ), .01501023347973182500884052064335399  ,   .01501023347973182500884052064335399  , .13859554086776482539309659376771751  , 1.  -( .13859554086776482539309659376771751  )-( .01501023347973182500884052064335399  ),   .01501023347973182500884052064335399  , 1.  -( .13859554086776482539309659376771751  )-( .01501023347973182500884052064335399  ), .13859554086776482539309659376771751  ,   1.  -( .13859554086776482539309659376771751  )-( .01501023347973182500884052064335399  ), .13859554086776482539309659376771751  , .01501023347973182500884052064335399  ,   1.  -( .13859554086776482539309659376771751  )-( .01501023347973182500884052064335399  ), .01501023347973182500884052064335399  , .13859554086776482539309659376771751  ,
    
 .34660546952009260087829868774027952  , .02336212893314653752768977049783837  , 1.  -( .34660546952009260087829868774027952  )-( .02336212893314653752768977049783837  ),   .34660546952009260087829868774027952  , 1.  -( .34660546952009260087829868774027952  )-( .02336212893314653752768977049783837  ), .02336212893314653752768977049783837  ,   .02336212893314653752768977049783837  , .34660546952009260087829868774027952  , 1.  -( .34660546952009260087829868774027952  )-( .02336212893314653752768977049783837  ),   .02336212893314653752768977049783837  , 1.  -( .34660546952009260087829868774027952  )-( .02336212893314653752768977049783837  ), .34660546952009260087829868774027952  ,   1.  -( .34660546952009260087829868774027952  )-( .02336212893314653752768977049783837  ), .34660546952009260087829868774027952  , .02336212893314653752768977049783837  ,   1.  -( .34660546952009260087829868774027952  )-( .02336212893314653752768977049783837  ), .02336212893314653752768977049783837  , .34660546952009260087829868774027952  ,
    
 .24821986889585591697209834974065293  , .00000099999999999965762180770907324  , 1.  -( .24821986889585591697209834974065293  )-( .00000099999999999965762180770907324  ),   .24821986889585591697209834974065293  , 1.  -( .24821986889585591697209834974065293  )-( .00000099999999999965762180770907324  ), .00000099999999999965762180770907324  ,   .00000099999999999965762180770907324  , .24821986889585591697209834974065293  , 1.  -( .24821986889585591697209834974065293  )-( .00000099999999999965762180770907324  ),   .00000099999999999965762180770907324  , 1.  -( .24821986889585591697209834974065293  )-( .00000099999999999965762180770907324  ), .24821986889585591697209834974065293  ,   1.  -( .24821986889585591697209834974065293  )-( .00000099999999999965762180770907324  ), .24821986889585591697209834974065293  , .00000099999999999965762180770907324  ,   1.  -( .24821986889585591697209834974065293  )-( .00000099999999999965762180770907324  ), .00000099999999999965762180770907324  , .24821986889585591697209834974065293  
        
}

Definition at line 844 of file quad.c.

                                                             {
    Perm21(.24056306963626902977934166278860247),
    Perm21(.08092323589766073062004798772340524),
    Perm21(.01001414912499135088254841140047604),
    Perm21(.15437652078663289107430782196727737),
    Perm21(.41716986201996268598941663596983268),
    Perm21(.47086974573840098186867398532866671),
    Perm21(.49811803384542204444865152799034832),
    Perm21(.36473840565291924199871629076775930),
    Perm111(.10986590708262616153720966373050601,
        .30466576969866569523225839525499357),
    Perm111(.20493227462918790108024139159058423,
        .05248758390645425414786013344982922),
    Perm111(.05813921564266244000000000000000000,
        .01500053995225954378593128753997425),
    Perm111(.13859554086776482539309659376771751,
        .01501023347973182500884052064335399),
    Perm111(.34660546952009260087829868774027952,
        .02336212893314653752768977049783837),
    Perm111(.24821986889585591697209834974065293,
        .00000099999999999965762180770907324)
        /*9.99999999999657621807709073237881438e-7*/
};

QUAD_2D_P17_wts

double QUAD_2D_P17_wts[]

static

Initial value:

= {
     .03829254008003568749425168889491817  , .03829254008003568749425168889491817  , .03829254008003568749425168889491817  ,
     .01669528699775339594318472807122019  , .01669528699775339594318472807122019  , .01669528699775339594318472807122019  ,
     .00143512454359061224492929722268097  , .00143512454359061224492929722268097  , .00143512454359061224492929722268097  ,
     .02864276849185053630399044294140648  , .02864276849185053630399044294140648  , .02864276849185053630399044294140648  ,
     .03408569078206214964786810427776196  , .03408569078206214964786810427776196  , .03408569078206214964786810427776196  ,
     .02467274200053089056925349793140004  , .02467274200053089056925349793140004  , .02467274200053089056925349793140004  ,
     .00586679757537134154263246190805349  , .00586679757537134154263246190805349  , .00586679757537134154263246190805349  ,
     .02321859500422896151112767944153052  , .02321859500422896151112767944153052  , .02321859500422896151112767944153052  ,
     .03084965458251406099116307348593810  , .03084965458251406099116307348593810  , .03084965458251406099116307348593810  , .03084965458251406099116307348593810  , .03084965458251406099116307348593810  , .03084965458251406099116307348593810  ,
     .01881398544005420038782109445200127  , .01881398544005420038782109445200127  , .01881398544005420038782109445200127  , .01881398544005420038782109445200127  , .01881398544005420038782109445200127  , .01881398544005420038782109445200127  ,
     .00512343450397285555007197439694996  , .00512343450397285555007197439694996  , .00512343450397285555007197439694996  , .00512343450397285555007197439694996  , .00512343450397285555007197439694996  , .00512343450397285555007197439694996  ,
     .00701239348475201777118052342883162  , .00701239348475201777118052342883162  , .00701239348475201777118052342883162  , .00701239348475201777118052342883162  , .00701239348475201777118052342883162  , .00701239348475201777118052342883162  ,
     .01538229443504461311363086994295179  , .01538229443504461311363086994295179  , .01538229443504461311363086994295179  , .01538229443504461311363086994295179  , .01538229443504461311363086994295179  , .01538229443504461311363086994295179  ,
     .00303013148261713122418018061550803  , .00303013148261713122418018061550803  , .00303013148261713122418018061550803  , .00303013148261713122418018061550803  , .00303013148261713122418018061550803  , .00303013148261713122418018061550803  
}

Definition at line 828 of file quad.c.

                                  {
    Dup21(.03829254008003568749425168889491817),
    Dup21(.01669528699775339594318472807122019),
    Dup21(.00143512454359061224492929722268097),
    Dup21(.02864276849185053630399044294140648),
    Dup21(.03408569078206214964786810427776196),
    Dup21(.02467274200053089056925349793140004),
    Dup21(.00586679757537134154263246190805349),
    Dup21(.02321859500422896151112767944153052),
    Dup111(.03084965458251406099116307348593810),
    Dup111(.01881398544005420038782109445200127),
    Dup111(.00512343450397285555007197439694996),
    Dup111(.00701239348475201777118052342883162),
    Dup111(.01538229443504461311363086994295179),
    Dup111(.00303013148261713122418018061550803)
};

QUAD_2D_P18_

QUAD QUAD_2D_P18_

Initial value:

= {
    "2D P18",           
    2,              
    18,             
     (sizeof(QUAD_2D_P18_wts) / (sizeof(QUAD_2D_P18_wts[0]))) , 
    QUAD_2D_P18_pts,        
    QUAD_2D_P18_wts,        
    -1              
}

Definition at line 924 of file quad.c.

                    {
    "2D P18",           /* name */
    2,              /* dim */
    18,             /* order */
    Length(QUAD_2D_P18_wts),    /* npoints = 67 */
    QUAD_2D_P18_pts,        /* points */
    QUAD_2D_P18_wts,        /* weights */
    -1              /* id */
};

QUAD_2D_P18_pts

double QUAD_2D_P18_pts[(sizeof(QUAD_2D_P18_wts)/(sizeof(QUAD_2D_P18_wts[0]))) *3]

static

Initial value:

= {
     1.  / 3.  , 1.  / 3.  , 1.  / 3.  ,
     1.  -( .15163850697260486492387353795772074  )-( .15163850697260486492387353795772074  ), .15163850697260486492387353795772074  , .15163850697260486492387353795772074  ,   .15163850697260486492387353795772074  , 1.  -( .15163850697260486492387353795772074  )-( .15163850697260486492387353795772074  ), .15163850697260486492387353795772074  ,   .15163850697260486492387353795772074  , .15163850697260486492387353795772074  , 1.  -( .15163850697260486492387353795772074  )-( .15163850697260486492387353795772074  ),
     1.  -( .07243870556733287047426206374480081  )-( .07243870556733287047426206374480081  ), .07243870556733287047426206374480081  , .07243870556733287047426206374480081  ,   .07243870556733287047426206374480081  , 1.  -( .07243870556733287047426206374480081  )-( .07243870556733287047426206374480081  ), .07243870556733287047426206374480081  ,   .07243870556733287047426206374480081  , .07243870556733287047426206374480081  , 1.  -( .07243870556733287047426206374480081  )-( .07243870556733287047426206374480081  ),
     1.  -( .00375894434106834585702462733286887  )-( .00375894434106834585702462733286887  ), .00375894434106834585702462733286887  , .00375894434106834585702462733286887  ,   .00375894434106834585702462733286887  , 1.  -( .00375894434106834585702462733286887  )-( .00375894434106834585702462733286887  ), .00375894434106834585702462733286887  ,   .00375894434106834585702462733286887  , .00375894434106834585702462733286887  , 1.  -( .00375894434106834585702462733286887  )-( .00375894434106834585702462733286887  ),
     1.  -( .41106710187591949855469549486746318  )-( .41106710187591949855469549486746318  ), .41106710187591949855469549486746318  , .41106710187591949855469549486746318  ,   .41106710187591949855469549486746318  , 1.  -( .41106710187591949855469549486746318  )-( .41106710187591949855469549486746318  ), .41106710187591949855469549486746318  ,   .41106710187591949855469549486746318  , .41106710187591949855469549486746318  , 1.  -( .41106710187591949855469549486746318  )-( .41106710187591949855469549486746318  ),
     1.  -( .26561460990537421478430796115175039  )-( .26561460990537421478430796115175039  ), .26561460990537421478430796115175039  , .26561460990537421478430796115175039  ,   .26561460990537421478430796115175039  , 1.  -( .26561460990537421478430796115175039  )-( .26561460990537421478430796115175039  ), .26561460990537421478430796115175039  ,   .26561460990537421478430796115175039  , .26561460990537421478430796115175039  , 1.  -( .26561460990537421478430796115175039  )-( .26561460990537421478430796115175039  ),
     1.  -( .47491821132404573588789755091754023  )-( .47491821132404573588789755091754023  ), .47491821132404573588789755091754023  , .47491821132404573588789755091754023  ,   .47491821132404573588789755091754023  , 1.  -( .47491821132404573588789755091754023  )-( .47491821132404573588789755091754023  ), .47491821132404573588789755091754023  ,   .47491821132404573588789755091754023  , .47491821132404573588789755091754023  , 1.  -( .47491821132404573588789755091754023  )-( .47491821132404573588789755091754023  ),
    
 .06612245802840338770053947185398348  , .17847912556588763355267204638676643  , 1.  -( .06612245802840338770053947185398348  )-( .17847912556588763355267204638676643  ),   .06612245802840338770053947185398348  , 1.  -( .06612245802840338770053947185398348  )-( .17847912556588763355267204638676643  ), .17847912556588763355267204638676643  ,   .17847912556588763355267204638676643  , .06612245802840338770053947185398348  , 1.  -( .06612245802840338770053947185398348  )-( .17847912556588763355267204638676643  ),   .17847912556588763355267204638676643  , 1.  -( .06612245802840338770053947185398348  )-( .17847912556588763355267204638676643  ), .06612245802840338770053947185398348  ,   1.  -( .06612245802840338770053947185398348  )-( .17847912556588763355267204638676643  ), .06612245802840338770053947185398348  , .17847912556588763355267204638676643  ,   1.  -( .06612245802840338770053947185398348  )-( .17847912556588763355267204638676643  ), .17847912556588763355267204638676643  , .06612245802840338770053947185398348  ,
    
 .26857330639601384733212028806856623  , .14906691012577383920019113944789784  , 1.  -( .26857330639601384733212028806856623  )-( .14906691012577383920019113944789784  ),   .26857330639601384733212028806856623  , 1.  -( .26857330639601384733212028806856623  )-( .14906691012577383920019113944789784  ), .14906691012577383920019113944789784  ,   .14906691012577383920019113944789784  , .26857330639601384733212028806856623  , 1.  -( .26857330639601384733212028806856623  )-( .14906691012577383920019113944789784  ),   .14906691012577383920019113944789784  , 1.  -( .26857330639601384733212028806856623  )-( .14906691012577383920019113944789784  ), .26857330639601384733212028806856623  ,   1.  -( .26857330639601384733212028806856623  )-( .14906691012577383920019113944789784  ), .26857330639601384733212028806856623  , .14906691012577383920019113944789784  ,   1.  -( .26857330639601384733212028806856623  )-( .14906691012577383920019113944789784  ), .14906691012577383920019113944789784  , .26857330639601384733212028806856623  ,
    
 .30206195771287080772484323648551723  , .05401173533902423468044436247084948  , 1.  -( .30206195771287080772484323648551723  )-( .05401173533902423468044436247084948  ),   .30206195771287080772484323648551723  , 1.  -( .30206195771287080772484323648551723  )-( .05401173533902423468044436247084948  ), .05401173533902423468044436247084948  ,   .05401173533902423468044436247084948  , .30206195771287080772484323648551723  , 1.  -( .30206195771287080772484323648551723  )-( .05401173533902423468044436247084948  ),   .05401173533902423468044436247084948  , 1.  -( .30206195771287080772484323648551723  )-( .05401173533902423468044436247084948  ), .30206195771287080772484323648551723  ,   1.  -( .30206195771287080772484323648551723  )-( .05401173533902423468044436247084948  ), .30206195771287080772484323648551723  , .05401173533902423468044436247084948  ,   1.  -( .30206195771287080772484323648551723  )-( .05401173533902423468044436247084948  ), .05401173533902423468044436247084948  , .30206195771287080772484323648551723  ,
    
 .13277883027138932992144407050471004  , .01433152477894195356844867129563809  , 1.  -( .13277883027138932992144407050471004  )-( .01433152477894195356844867129563809  ),   .13277883027138932992144407050471004  , 1.  -( .13277883027138932992144407050471004  )-( .01433152477894195356844867129563809  ), .01433152477894195356844867129563809  ,   .01433152477894195356844867129563809  , .13277883027138932992144407050471004  , 1.  -( .13277883027138932992144407050471004  )-( .01433152477894195356844867129563809  ),   .01433152477894195356844867129563809  , 1.  -( .13277883027138932992144407050471004  )-( .01433152477894195356844867129563809  ), .13277883027138932992144407050471004  ,   1.  -( .13277883027138932992144407050471004  )-( .01433152477894195356844867129563809  ), .13277883027138932992144407050471004  , .01433152477894195356844867129563809  ,   1.  -( .13277883027138932992144407050471004  )-( .01433152477894195356844867129563809  ), .01433152477894195356844867129563809  , .13277883027138932992144407050471004  ,
    
 .25650615977424154068897765977748937  , .01050501881924193559868603344210775  , 1.  -( .25650615977424154068897765977748937  )-( .01050501881924193559868603344210775  ),   .25650615977424154068897765977748937  , 1.  -( .25650615977424154068897765977748937  )-( .01050501881924193559868603344210775  ), .01050501881924193559868603344210775  ,   .01050501881924193559868603344210775  , .25650615977424154068897765977748937  , 1.  -( .25650615977424154068897765977748937  )-( .01050501881924193559868603344210775  ),   .01050501881924193559868603344210775  , 1.  -( .25650615977424154068897765977748937  )-( .01050501881924193559868603344210775  ), .25650615977424154068897765977748937  ,   1.  -( .25650615977424154068897765977748937  )-( .01050501881924193559868603344210775  ), .25650615977424154068897765977748937  , .01050501881924193559868603344210775  ,   1.  -( .25650615977424154068897765977748937  )-( .01050501881924193559868603344210775  ), .01050501881924193559868603344210775  , .25650615977424154068897765977748937  ,
    
 .41106566867461836291309677848250996  , .01169182467466708527042342649785763  , 1.  -( .41106566867461836291309677848250996  )-( .01169182467466708527042342649785763  ),   .41106566867461836291309677848250996  , 1.  -( .41106566867461836291309677848250996  )-( .01169182467466708527042342649785763  ), .01169182467466708527042342649785763  ,   .01169182467466708527042342649785763  , .41106566867461836291309677848250996  , 1.  -( .41106566867461836291309677848250996  )-( .01169182467466708527042342649785763  ),   .01169182467466708527042342649785763  , 1.  -( .41106566867461836291309677848250996  )-( .01169182467466708527042342649785763  ), .41106566867461836291309677848250996  ,   1.  -( .41106566867461836291309677848250996  )-( .01169182467466708527042342649785763  ), .41106566867461836291309677848250996  , .01169182467466708527042342649785763  ,   1.  -( .41106566867461836291309677848250996  )-( .01169182467466708527042342649785763  ), .01169182467466708527042342649785763  , .41106566867461836291309677848250996  ,
    
 .04727614183265178252228403898505622  , .01249893248349544012804819357953175  , 1.  -( .04727614183265178252228403898505622  )-( .01249893248349544012804819357953175  ),   .04727614183265178252228403898505622  , 1.  -( .04727614183265178252228403898505622  )-( .01249893248349544012804819357953175  ), .01249893248349544012804819357953175  ,   .01249893248349544012804819357953175  , .04727614183265178252228403898505622  , 1.  -( .04727614183265178252228403898505622  )-( .01249893248349544012804819357953175  ),   .01249893248349544012804819357953175  , 1.  -( .04727614183265178252228403898505622  )-( .01249893248349544012804819357953175  ), .04727614183265178252228403898505622  ,   1.  -( .04727614183265178252228403898505622  )-( .01249893248349544012804819357953175  ), .04727614183265178252228403898505622  , .01249893248349544012804819357953175  ,   1.  -( .04727614183265178252228403898505622  )-( .01249893248349544012804819357953175  ), .01249893248349544012804819357953175  , .04727614183265178252228403898505622  ,
    
 .38504403441316367334400254247436861  , .52452892523249571422861434426430408  , 1.  -( .38504403441316367334400254247436861  )-( .52452892523249571422861434426430408  ),   .38504403441316367334400254247436861  , 1.  -( .38504403441316367334400254247436861  )-( .52452892523249571422861434426430408  ), .52452892523249571422861434426430408  ,   .52452892523249571422861434426430408  , .38504403441316367334400254247436861  , 1.  -( .38504403441316367334400254247436861  )-( .52452892523249571422861434426430408  ),   .52452892523249571422861434426430408  , 1.  -( .38504403441316367334400254247436861  )-( .52452892523249571422861434426430408  ), .38504403441316367334400254247436861  ,   1.  -( .38504403441316367334400254247436861  )-( .52452892523249571422861434426430408  ), .38504403441316367334400254247436861  , .52452892523249571422861434426430408  ,   1.  -( .38504403441316367334400254247436861  )-( .52452892523249571422861434426430408  ), .52452892523249571422861434426430408  , .38504403441316367334400254247436861  
}

Definition at line 899 of file quad.c.

                                                             {
    Perm3(1./3.),
    Perm21(.15163850697260486492387353795772074),
    Perm21(.07243870556733287047426206374480081),
    Perm21(.00375894434106834585702462733286887),
    Perm21(.41106710187591949855469549486746318),
    Perm21(.26561460990537421478430796115175039),
    Perm21(.47491821132404573588789755091754023),
    Perm111(.06612245802840338770053947185398348,
        .17847912556588763355267204638676643),
    Perm111(.26857330639601384733212028806856623,
        .14906691012577383920019113944789784),
    Perm111(.30206195771287080772484323648551723,
        .05401173533902423468044436247084948),
    Perm111(.13277883027138932992144407050471004,
        .01433152477894195356844867129563809),
    Perm111(.25650615977424154068897765977748937,
        .01050501881924193559868603344210775),
    Perm111(.41106566867461836291309677848250996,
        .01169182467466708527042342649785763),
    Perm111(.04727614183265178252228403898505622,
        .01249893248349544012804819357953175),
    Perm111(.38504403441316367334400254247436861,
        .52452892523249571422861434426430408)
};

QUAD_2D_P18_wts

double QUAD_2D_P18_wts[]

static

Initial value:

= {
     .03074852123911585539935333820159969  ,
     .02031833884545839730521676856098738  , .02031833884545839730521676856098738  , .02031833884545839730521676856098738  ,
     .01379028660476693880147269080330003  , .01379028660476693880147269080330003  , .01379028660476693880147269080330003  ,
     .00053200561694778056109294261721746  , .00053200561694778056109294261721746  , .00053200561694778056109294261721746  ,
     .03347199405984789811876973462144190  , .03347199405984789811876973462144190  , .03347199405984789811876973462144190  ,
     .03111639660200613119689389250158563  , .03111639660200613119689389250158563  , .03111639660200613119689389250158563  ,
     .01310702749173875567860153100348528  , .01310702749173875567860153100348528  , .01310702749173875567860153100348528  ,
     .01691165391748007879456553323826843  , .01691165391748007879456553323826843  , .01691165391748007879456553323826843  , .01691165391748007879456553323826843  , .01691165391748007879456553323826843  , .01691165391748007879456553323826843  ,
     .02759288648857947802009593334620683  , .02759288648857947802009593334620683  , .02759288648857947802009593334620683  , .02759288648857947802009593334620683  , .02759288648857947802009593334620683  , .02759288648857947802009593334620683  ,
     .01636590841398656595815221611374510  , .01636590841398656595815221611374510  , .01636590841398656595815221611374510  , .01636590841398656595815221611374510  , .01636590841398656595815221611374510  , .01636590841398656595815221611374510  ,
     .00764170497271963595084711372125680  , .00764170497271963595084711372125680  , .00764170497271963595084711372125680  , .00764170497271963595084711372125680  , .00764170497271963595084711372125680  , .00764170497271963595084711372125680  ,
     .00772983528000622700809279634102600  , .00772983528000622700809279634102600  , .00772983528000622700809279634102600  , .00772983528000622700809279634102600  , .00772983528000622700809279634102600  , .00772983528000622700809279634102600  ,
     .00958612447436150376044024017260990  , .00958612447436150376044024017260990  , .00958612447436150376044024017260990  , .00958612447436150376044024017260990  , .00958612447436150376044024017260990  , .00958612447436150376044024017260990  ,
     .00421751677474444290984387716007124  , .00421751677474444290984387716007124  , .00421751677474444290984387716007124  , .00421751677474444290984387716007124  , .00421751677474444290984387716007124  , .00421751677474444290984387716007124  ,
     .01532825819455314086704628681920691  , .01532825819455314086704628681920691  , .01532825819455314086704628681920691  , .01532825819455314086704628681920691  , .01532825819455314086704628681920691  , .01532825819455314086704628681920691  
}

Definition at line 882 of file quad.c.

                                  {
    Dup3(.03074852123911585539935333820159969),
    Dup21(.02031833884545839730521676856098738),
    Dup21(.01379028660476693880147269080330003),
    Dup21(.00053200561694778056109294261721746),
    Dup21(.03347199405984789811876973462144190),
    Dup21(.03111639660200613119689389250158563),
    Dup21(.01310702749173875567860153100348528),
    Dup111(.01691165391748007879456553323826843),
    Dup111(.02759288648857947802009593334620683),
    Dup111(.01636590841398656595815221611374510),
    Dup111(.00764170497271963595084711372125680),
    Dup111(.00772983528000622700809279634102600),
    Dup111(.00958612447436150376044024017260990),
    Dup111(.00421751677474444290984387716007124),
    Dup111(.01532825819455314086704628681920691)
};

QUAD_2D_P19_

QUAD QUAD_2D_P19_

Initial value:

= {
    "2D P19",           
    2,              
    19,             
     (sizeof(QUAD_2D_P19_wts) / (sizeof(QUAD_2D_P19_wts[0]))) , 
    QUAD_2D_P19_pts,        
    QUAD_2D_P19_wts,        
    -1              
}

Definition at line 984 of file quad.c.

                    {
    "2D P19",           /* name */
    2,              /* dim */
    19,             /* order */
    Length(QUAD_2D_P19_wts),    /* npoints = 73 */
    QUAD_2D_P19_pts,        /* points */
    QUAD_2D_P19_wts,        /* weights */
    -1              /* id */
};

QUAD_2D_P19_pts

double QUAD_2D_P19_pts[(sizeof(QUAD_2D_P19_wts)/(sizeof(QUAD_2D_P19_wts[0]))) *3]

static

Initial value:

= {
     1.  / 3.  , 1.  / 3.  , 1.  / 3.  ,
     1.  -( .48960998707300633196613106574829817  )-( .48960998707300633196613106574829817  ), .48960998707300633196613106574829817  , .48960998707300633196613106574829817  ,   .48960998707300633196613106574829817  , 1.  -( .48960998707300633196613106574829817  )-( .48960998707300633196613106574829817  ), .48960998707300633196613106574829817  ,   .48960998707300633196613106574829817  , .48960998707300633196613106574829817  , 1.  -( .48960998707300633196613106574829817  )-( .48960998707300633196613106574829817  ),
     1.  -( .45453689269789266204675939053572830  )-( .45453689269789266204675939053572830  ), .45453689269789266204675939053572830  , .45453689269789266204675939053572830  ,   .45453689269789266204675939053572830  , 1.  -( .45453689269789266204675939053572830  )-( .45453689269789266204675939053572830  ), .45453689269789266204675939053572830  ,   .45453689269789266204675939053572830  , .45453689269789266204675939053572830  , 1.  -( .45453689269789266204675939053572830  )-( .45453689269789266204675939053572830  ),
     1.  -( .40141668064943118739399562381068860  )-( .40141668064943118739399562381068860  ), .40141668064943118739399562381068860  , .40141668064943118739399562381068860  ,   .40141668064943118739399562381068860  , 1.  -( .40141668064943118739399562381068860  )-( .40141668064943118739399562381068860  ), .40141668064943118739399562381068860  ,   .40141668064943118739399562381068860  , .40141668064943118739399562381068860  , 1.  -( .40141668064943118739399562381068860  )-( .40141668064943118739399562381068860  ),
     1.  -( .25555165440309761132218176810926787  )-( .25555165440309761132218176810926787  ), .25555165440309761132218176810926787  , .25555165440309761132218176810926787  ,   .25555165440309761132218176810926787  , 1.  -( .25555165440309761132218176810926787  )-( .25555165440309761132218176810926787  ), .25555165440309761132218176810926787  ,   .25555165440309761132218176810926787  , .25555165440309761132218176810926787  , 1.  -( .25555165440309761132218176810926787  )-( .25555165440309761132218176810926787  ),
     1.  -( .17707794215212955164267520651590115  )-( .17707794215212955164267520651590115  ), .17707794215212955164267520651590115  , .17707794215212955164267520651590115  ,   .17707794215212955164267520651590115  , 1.  -( .17707794215212955164267520651590115  )-( .17707794215212955164267520651590115  ), .17707794215212955164267520651590115  ,   .17707794215212955164267520651590115  , .17707794215212955164267520651590115  , 1.  -( .17707794215212955164267520651590115  )-( .17707794215212955164267520651590115  ),
     1.  -( .11006105322795186130008495167737397  )-( .11006105322795186130008495167737397  ), .11006105322795186130008495167737397  , .11006105322795186130008495167737397  ,   .11006105322795186130008495167737397  , 1.  -( .11006105322795186130008495167737397  )-( .11006105322795186130008495167737397  ), .11006105322795186130008495167737397  ,   .11006105322795186130008495167737397  , .11006105322795186130008495167737397  , 1.  -( .11006105322795186130008495167737397  )-( .11006105322795186130008495167737397  ),
     1.  -( .05552862425183967124867841247135571  )-( .05552862425183967124867841247135571  ), .05552862425183967124867841247135571  , .05552862425183967124867841247135571  ,   .05552862425183967124867841247135571  , 1.  -( .05552862425183967124867841247135571  )-( .05552862425183967124867841247135571  ), .05552862425183967124867841247135571  ,   .05552862425183967124867841247135571  , .05552862425183967124867841247135571  , 1.  -( .05552862425183967124867841247135571  )-( .05552862425183967124867841247135571  ),
     1.  -( .01262186377722866849023476677870599  )-( .01262186377722866849023476677870599  ), .01262186377722866849023476677870599  , .01262186377722866849023476677870599  ,   .01262186377722866849023476677870599  , 1.  -( .01262186377722866849023476677870599  )-( .01262186377722866849023476677870599  ), .01262186377722866849023476677870599  ,   .01262186377722866849023476677870599  , .01262186377722866849023476677870599  , 1.  -( .01262186377722866849023476677870599  )-( .01262186377722866849023476677870599  ),
    
 .60063379479464500000000000000000000  , .39575478735694286230479469406582787  , 1.  -( .60063379479464500000000000000000000  )-( .39575478735694286230479469406582787  ),   .60063379479464500000000000000000000  , 1.  -( .60063379479464500000000000000000000  )-( .39575478735694286230479469406582787  ), .39575478735694286230479469406582787  ,   .39575478735694286230479469406582787  , .60063379479464500000000000000000000  , 1.  -( .60063379479464500000000000000000000  )-( .39575478735694286230479469406582787  ),   .39575478735694286230479469406582787  , 1.  -( .60063379479464500000000000000000000  )-( .39575478735694286230479469406582787  ), .60063379479464500000000000000000000  ,   1.  -( .60063379479464500000000000000000000  )-( .39575478735694286230479469406582787  ), .60063379479464500000000000000000000  , .39575478735694286230479469406582787  ,   1.  -( .60063379479464500000000000000000000  )-( .39575478735694286230479469406582787  ), .39575478735694286230479469406582787  , .60063379479464500000000000000000000  ,
    
 .13446675453077978561204319893264695  , .55760326158878396836395324250118097  , 1.  -( .13446675453077978561204319893264695  )-( .55760326158878396836395324250118097  ),   .13446675453077978561204319893264695  , 1.  -( .13446675453077978561204319893264695  )-( .55760326158878396836395324250118097  ), .55760326158878396836395324250118097  ,   .55760326158878396836395324250118097  , .13446675453077978561204319893264695  , 1.  -( .13446675453077978561204319893264695  )-( .55760326158878396836395324250118097  ),   .55760326158878396836395324250118097  , 1.  -( .13446675453077978561204319893264695  )-( .55760326158878396836395324250118097  ), .13446675453077978561204319893264695  ,   1.  -( .13446675453077978561204319893264695  )-( .55760326158878396836395324250118097  ), .13446675453077978561204319893264695  , .55760326158878396836395324250118097  ,   1.  -( .13446675453077978561204319893264695  )-( .55760326158878396836395324250118097  ), .55760326158878396836395324250118097  , .13446675453077978561204319893264695  ,
    
 .72098702581736505521665290233827892  , .26456694840652020804030173490121494  , 1.  -( .72098702581736505521665290233827892  )-( .26456694840652020804030173490121494  ),   .72098702581736505521665290233827892  , 1.  -( .72098702581736505521665290233827892  )-( .26456694840652020804030173490121494  ), .26456694840652020804030173490121494  ,   .26456694840652020804030173490121494  , .72098702581736505521665290233827892  , 1.  -( .72098702581736505521665290233827892  )-( .26456694840652020804030173490121494  ),   .26456694840652020804030173490121494  , 1.  -( .72098702581736505521665290233827892  )-( .26456694840652020804030173490121494  ), .72098702581736505521665290233827892  ,   1.  -( .72098702581736505521665290233827892  )-( .26456694840652020804030173490121494  ), .72098702581736505521665290233827892  , .26456694840652020804030173490121494  ,   1.  -( .72098702581736505521665290233827892  )-( .26456694840652020804030173490121494  ), .26456694840652020804030173490121494  , .72098702581736505521665290233827892  ,
    
 .59452706895587092461388928802650670  , .35853935220595058842492699064590088  , 1.  -( .59452706895587092461388928802650670  )-( .35853935220595058842492699064590088  ),   .59452706895587092461388928802650670  , 1.  -( .59452706895587092461388928802650670  )-( .35853935220595058842492699064590088  ), .35853935220595058842492699064590088  ,   .35853935220595058842492699064590088  , .59452706895587092461388928802650670  , 1.  -( .59452706895587092461388928802650670  )-( .35853935220595058842492699064590088  ),   .35853935220595058842492699064590088  , 1.  -( .59452706895587092461388928802650670  )-( .35853935220595058842492699064590088  ), .59452706895587092461388928802650670  ,   1.  -( .59452706895587092461388928802650670  )-( .35853935220595058842492699064590088  ), .59452706895587092461388928802650670  , .35853935220595058842492699064590088  ,   1.  -( .59452706895587092461388928802650670  )-( .35853935220595058842492699064590088  ), .35853935220595058842492699064590088  , .59452706895587092461388928802650670  ,
    
 .83933147368083857861749007714840520  , .15780740596859474473767360335950651  , 1.  -( .83933147368083857861749007714840520  )-( .15780740596859474473767360335950651  ),   .83933147368083857861749007714840520  , 1.  -( .83933147368083857861749007714840520  )-( .15780740596859474473767360335950651  ), .15780740596859474473767360335950651  ,   .15780740596859474473767360335950651  , .83933147368083857861749007714840520  , 1.  -( .83933147368083857861749007714840520  )-( .15780740596859474473767360335950651  ),   .15780740596859474473767360335950651  , 1.  -( .83933147368083857861749007714840520  )-( .15780740596859474473767360335950651  ), .83933147368083857861749007714840520  ,   1.  -( .83933147368083857861749007714840520  )-( .15780740596859474473767360335950651  ), .83933147368083857861749007714840520  , .15780740596859474473767360335950651  ,   1.  -( .83933147368083857861749007714840520  )-( .15780740596859474473767360335950651  ), .15780740596859474473767360335950651  , .83933147368083857861749007714840520  ,
    
 .22386142409791569130336938950653642  , .70108797892617336732328833655951158  , 1.  -( .22386142409791569130336938950653642  )-( .70108797892617336732328833655951158  ),   .22386142409791569130336938950653642  , 1.  -( .22386142409791569130336938950653642  )-( .70108797892617336732328833655951158  ), .70108797892617336732328833655951158  ,   .70108797892617336732328833655951158  , .22386142409791569130336938950653642  , 1.  -( .22386142409791569130336938950653642  )-( .70108797892617336732328833655951158  ),   .70108797892617336732328833655951158  , 1.  -( .22386142409791569130336938950653642  )-( .70108797892617336732328833655951158  ), .22386142409791569130336938950653642  ,   1.  -( .22386142409791569130336938950653642  )-( .70108797892617336732328833655951158  ), .22386142409791569130336938950653642  , .70108797892617336732328833655951158  ,   1.  -( .22386142409791569130336938950653642  )-( .70108797892617336732328833655951158  ), .70108797892617336732328833655951158  , .22386142409791569130336938950653642  ,
    
 .82293132406985663162747155916053316  , .14242160111338343731557475687723745  , 1.  -( .82293132406985663162747155916053316  )-( .14242160111338343731557475687723745  ),   .82293132406985663162747155916053316  , 1.  -( .82293132406985663162747155916053316  )-( .14242160111338343731557475687723745  ), .14242160111338343731557475687723745  ,   .14242160111338343731557475687723745  , .82293132406985663162747155916053316  , 1.  -( .82293132406985663162747155916053316  )-( .14242160111338343731557475687723745  ),   .14242160111338343731557475687723745  , 1.  -( .82293132406985663162747155916053316  )-( .14242160111338343731557475687723745  ), .82293132406985663162747155916053316  ,   1.  -( .82293132406985663162747155916053316  )-( .14242160111338343731557475687723745  ), .82293132406985663162747155916053316  , .14242160111338343731557475687723745  ,   1.  -( .82293132406985663162747155916053316  )-( .14242160111338343731557475687723745  ), .14242160111338343731557475687723745  , .82293132406985663162747155916053316  ,
    
 .92434425262078402945585913790156314  , .06549462808293770339232652498592557  , 1.  -( .92434425262078402945585913790156314  )-( .06549462808293770339232652498592557  ),   .92434425262078402945585913790156314  , 1.  -( .92434425262078402945585913790156314  )-( .06549462808293770339232652498592557  ), .06549462808293770339232652498592557  ,   .06549462808293770339232652498592557  , .92434425262078402945585913790156314  , 1.  -( .92434425262078402945585913790156314  )-( .06549462808293770339232652498592557  ),   .06549462808293770339232652498592557  , 1.  -( .92434425262078402945585913790156314  )-( .06549462808293770339232652498592557  ), .92434425262078402945585913790156314  ,   1.  -( .92434425262078402945585913790156314  )-( .06549462808293770339232652498592557  ), .92434425262078402945585913790156314  , .06549462808293770339232652498592557  ,   1.  -( .92434425262078402945585913790156314  )-( .06549462808293770339232652498592557  ), .06549462808293770339232652498592557  , .92434425262078402945585913790156314  
}

Definition at line 957 of file quad.c.

                                                             {
    Perm3(.33333333333333333333333333333333333),
    Perm21(.48960998707300633196613106574829817),
    Perm21(.45453689269789266204675939053572830),
    Perm21(.40141668064943118739399562381068860),
    Perm21(.25555165440309761132218176810926787),
    Perm21(.17707794215212955164267520651590115),
    Perm21(.11006105322795186130008495167737397),
    Perm21(.05552862425183967124867841247135571),
    Perm21(.01262186377722866849023476677870599),
    Perm111(.60063379479464500000000000000000000,
        .39575478735694286230479469406582787),
    Perm111(.13446675453077978561204319893264695,
        .55760326158878396836395324250118097),
    Perm111(.72098702581736505521665290233827892,
        .26456694840652020804030173490121494),
    Perm111(.59452706895587092461388928802650670,
        .35853935220595058842492699064590088),
    Perm111(.83933147368083857861749007714840520,
        .15780740596859474473767360335950651),
    Perm111(.22386142409791569130336938950653642,
        .70108797892617336732328833655951158),
    Perm111(.82293132406985663162747155916053316,
        .14242160111338343731557475687723745),
    Perm111(.92434425262078402945585913790156314,
        .06549462808293770339232652498592557)
};

QUAD_2D_P19_wts

double QUAD_2D_P19_wts[]

static

Initial value:

= {
     .03290633138891865208361434484647497  ,
     .01033073189127205336703996357174833  , .01033073189127205336703996357174833  , .01033073189127205336703996357174833  ,
     .02238724726301639252918455603516271  , .02238724726301639252918455603516271  , .02238724726301639252918455603516271  ,
     .03026612586946807086528019098259122  , .03026612586946807086528019098259122  , .03026612586946807086528019098259122  ,
     .03049096780219778100003158657852042  , .03049096780219778100003158657852042  , .03049096780219778100003158657852042  ,
     .02415921274164090491184803098664001  , .02415921274164090491184803098664001  , .02415921274164090491184803098664001  ,
     .01605080358680087529162277027642948  , .01605080358680087529162277027642948  , .01605080358680087529162277027642948  ,
     .00808458026178406048180567324219442  , .00808458026178406048180567324219442  , .00808458026178406048180567324219442  ,
     .00207936202748478075134750167439841  , .00207936202748478075134750167439841  , .00207936202748478075134750167439841  ,
     .00388487690498138975670499199277266  , .00388487690498138975670499199277266  , .00388487690498138975670499199277266  , .00388487690498138975670499199277266  , .00388487690498138975670499199277266  , .00388487690498138975670499199277266  ,
     .02557416061202190389292970195260027  , .02557416061202190389292970195260027  , .02557416061202190389292970195260027  , .02557416061202190389292970195260027  , .02557416061202190389292970195260027  , .02557416061202190389292970195260027  ,
     .00888090357333805774552592470351753  , .00888090357333805774552592470351753  , .00888090357333805774552592470351753  , .00888090357333805774552592470351753  , .00888090357333805774552592470351753  , .00888090357333805774552592470351753  ,
     .01612454676173139121978526932783766  , .01612454676173139121978526932783766  , .01612454676173139121978526932783766  , .01612454676173139121978526932783766  , .01612454676173139121978526932783766  , .01612454676173139121978526932783766  ,
     .00249194181749067544058464757594956  , .00249194181749067544058464757594956  , .00249194181749067544058464757594956  , .00249194181749067544058464757594956  , .00249194181749067544058464757594956  , .00249194181749067544058464757594956  ,
     .01824284011895057837766571320973615  , .01824284011895057837766571320973615  , .01824284011895057837766571320973615  , .01824284011895057837766571320973615  , .01824284011895057837766571320973615  , .01824284011895057837766571320973615  ,
     .01025856373619852130804807004235813  , .01025856373619852130804807004235813  , .01025856373619852130804807004235813  , .01025856373619852130804807004235813  , .01025856373619852130804807004235813  , .01025856373619852130804807004235813  ,
     .00379992885530191397907315371363970  , .00379992885530191397907315371363970  , .00379992885530191397907315371363970  , .00379992885530191397907315371363970  , .00379992885530191397907315371363970  , .00379992885530191397907315371363970  
}

Definition at line 938 of file quad.c.

                                  {
    Dup3(.03290633138891865208361434484647497),
    Dup21(.01033073189127205336703996357174833),
    Dup21(.02238724726301639252918455603516271),
    Dup21(.03026612586946807086528019098259122),
    Dup21(.03049096780219778100003158657852042),
    Dup21(.02415921274164090491184803098664001),
    Dup21(.01605080358680087529162277027642948),
    Dup21(.00808458026178406048180567324219442),
    Dup21(.00207936202748478075134750167439841),
    Dup111(.00388487690498138975670499199277266),
    Dup111(.02557416061202190389292970195260027),
    Dup111(.00888090357333805774552592470351753),
    Dup111(.01612454676173139121978526932783766),
    Dup111(.00249194181749067544058464757594956),
    Dup111(.01824284011895057837766571320973615),
    Dup111(.01025856373619852130804807004235813),
    Dup111(.00379992885530191397907315371363970)
};

QUAD_2D_P1_

QUAD QUAD_2D_P1_

Initial value:

= {
    "2D P1",            
    2,              
    1,              
     (sizeof(QUAD_2D_P1_wts) / (sizeof(QUAD_2D_P1_wts[0]))) ,   
    QUAD_2D_P1_pts,     
    QUAD_2D_P1_wts,     
    -1              
}

Definition at line 279 of file quad.c.

                   {
    "2D P1",            /* name */
    2,              /* dim */
    1,              /* order */
    Length(QUAD_2D_P1_wts), /* npoints = 1 */
    QUAD_2D_P1_pts,     /* points */
    QUAD_2D_P1_wts,     /* weights */
    -1              /* id */
};

QUAD_2D_P1_pts

double QUAD_2D_P1_pts[(sizeof(QUAD_2D_P1_wts)/(sizeof(QUAD_2D_P1_wts[0]))) *3]

static

Initial value:

= {
     1.  / 3.  , 1.  / 3.  , 1.  / 3.  
}

Definition at line 276 of file quad.c.

                                                           {
    Perm3(1./3.)
};

QUAD_2D_P1_wts

double QUAD_2D_P1_wts[]

static

Initial value:

= {
     1.  
}

Definition at line 273 of file quad.c.

                                 {
    Dup3(1.)
};

QUAD_2D_P20_

QUAD QUAD_2D_P20_

Initial value:

= {
    "2D P20",           
    2,              
    20,             
     (sizeof(QUAD_2D_P20_wts) / (sizeof(QUAD_2D_P20_wts[0]))) , 
    QUAD_2D_P20_pts,        
    QUAD_2D_P20_wts,        
    -1              
}

Definition at line 1047 of file quad.c.

                    {
    "2D P20",           /* name */
    2,              /* dim */
    20,             /* order */
    Length(QUAD_2D_P20_wts),    /* npoints = 82 */
    QUAD_2D_P20_pts,        /* points */
    QUAD_2D_P20_wts,        /* weights */
    -1              /* id */
};

QUAD_2D_P20_pts

double QUAD_2D_P20_pts[(sizeof(QUAD_2D_P20_wts)/(sizeof(QUAD_2D_P20_wts[0]))) *3]

static

Initial value:

= {
     1.  / 3.  , 1.  / 3.  , 1.  / 3.  ,
     1.  -( .47253969049374944291236394079678822  )-( .47253969049374944291236394079678822  ), .47253969049374944291236394079678822  , .47253969049374944291236394079678822  ,   .47253969049374944291236394079678822  , 1.  -( .47253969049374944291236394079678822  )-( .47253969049374944291236394079678822  ), .47253969049374944291236394079678822  ,   .47253969049374944291236394079678822  , .47253969049374944291236394079678822  , 1.  -( .47253969049374944291236394079678822  )-( .47253969049374944291236394079678822  ),
     1.  -( .43559179765819053474788158522088855  )-( .43559179765819053474788158522088855  ), .43559179765819053474788158522088855  , .43559179765819053474788158522088855  ,   .43559179765819053474788158522088855  , 1.  -( .43559179765819053474788158522088855  )-( .43559179765819053474788158522088855  ), .43559179765819053474788158522088855  ,   .43559179765819053474788158522088855  , .43559179765819053474788158522088855  , 1.  -( .43559179765819053474788158522088855  )-( .43559179765819053474788158522088855  ),
     1.  -( .38548317769095410374903697427852223  )-( .38548317769095410374903697427852223  ), .38548317769095410374903697427852223  , .38548317769095410374903697427852223  ,   .38548317769095410374903697427852223  , 1.  -( .38548317769095410374903697427852223  )-( .38548317769095410374903697427852223  ), .38548317769095410374903697427852223  ,   .38548317769095410374903697427852223  , .38548317769095410374903697427852223  , 1.  -( .38548317769095410374903697427852223  )-( .38548317769095410374903697427852223  ),
     1.  -( .18589787266938260089793207404361894  )-( .18589787266938260089793207404361894  ), .18589787266938260089793207404361894  , .18589787266938260089793207404361894  ,   .18589787266938260089793207404361894  , 1.  -( .18589787266938260089793207404361894  )-( .18589787266938260089793207404361894  ), .18589787266938260089793207404361894  ,   .18589787266938260089793207404361894  , .18589787266938260089793207404361894  , 1.  -( .18589787266938260089793207404361894  )-( .18589787266938260089793207404361894  ),
     1.  -( .10294309387227568202927226453268166  )-( .10294309387227568202927226453268166  ), .10294309387227568202927226453268166  , .10294309387227568202927226453268166  ,   .10294309387227568202927226453268166  , 1.  -( .10294309387227568202927226453268166  )-( .10294309387227568202927226453268166  ), .10294309387227568202927226453268166  ,   .10294309387227568202927226453268166  , .10294309387227568202927226453268166  , 1.  -( .10294309387227568202927226453268166  )-( .10294309387227568202927226453268166  ),
     1.  -( .04420435682210499536228665005842580  )-( .04420435682210499536228665005842580  ), .04420435682210499536228665005842580  , .04420435682210499536228665005842580  ,   .04420435682210499536228665005842580  , 1.  -( .04420435682210499536228665005842580  )-( .04420435682210499536228665005842580  ), .04420435682210499536228665005842580  ,   .04420435682210499536228665005842580  , .04420435682210499536228665005842580  , 1.  -( .04420435682210499536228665005842580  )-( .04420435682210499536228665005842580  ),
     1.  -( .01187700008194990884008379159291605  )-( .01187700008194990884008379159291605  ), .01187700008194990884008379159291605  , .01187700008194990884008379159291605  ,   .01187700008194990884008379159291605  , 1.  -( .01187700008194990884008379159291605  )-( .01187700008194990884008379159291605  ), .01187700008194990884008379159291605  ,   .01187700008194990884008379159291605  , .01187700008194990884008379159291605  , 1.  -( .01187700008194990884008379159291605  )-( .01187700008194990884008379159291605  ),
    
 .42317710194393600041367501539791831  , .56624681421216737896202019229528315  , 1.  -( .42317710194393600041367501539791831  )-( .56624681421216737896202019229528315  ),   .42317710194393600041367501539791831  , 1.  -( .42317710194393600041367501539791831  )-( .56624681421216737896202019229528315  ), .56624681421216737896202019229528315  ,   .56624681421216737896202019229528315  , .42317710194393600041367501539791831  , 1.  -( .42317710194393600041367501539791831  )-( .56624681421216737896202019229528315  ),   .56624681421216737896202019229528315  , 1.  -( .42317710194393600041367501539791831  )-( .56624681421216737896202019229528315  ), .42317710194393600041367501539791831  ,   1.  -( .42317710194393600041367501539791831  )-( .56624681421216737896202019229528315  ), .42317710194393600041367501539791831  , .56624681421216737896202019229528315  ,   1.  -( .42317710194393600041367501539791831  )-( .56624681421216737896202019229528315  ), .56624681421216737896202019229528315  , .42317710194393600041367501539791831  ,
    
 .28717803493735130968896269265785627  , .70363134375008177073022062562769704  , 1.  -( .28717803493735130968896269265785627  )-( .70363134375008177073022062562769704  ),   .28717803493735130968896269265785627  , 1.  -( .28717803493735130968896269265785627  )-( .70363134375008177073022062562769704  ), .70363134375008177073022062562769704  ,   .70363134375008177073022062562769704  , .28717803493735130968896269265785627  , 1.  -( .28717803493735130968896269265785627  )-( .70363134375008177073022062562769704  ),   .70363134375008177073022062562769704  , 1.  -( .28717803493735130968896269265785627  )-( .70363134375008177073022062562769704  ), .28717803493735130968896269265785627  ,   1.  -( .28717803493735130968896269265785627  )-( .70363134375008177073022062562769704  ), .28717803493735130968896269265785627  , .70363134375008177073022062562769704  ,   1.  -( .28717803493735130968896269265785627  )-( .70363134375008177073022062562769704  ), .70363134375008177073022062562769704  , .28717803493735130968896269265785627  ,
    
 .16282486571070316869304103317873899  , .83237331116054735414989063179341648  , 1.  -( .16282486571070316869304103317873899  )-( .83237331116054735414989063179341648  ),   .16282486571070316869304103317873899  , 1.  -( .16282486571070316869304103317873899  )-( .83237331116054735414989063179341648  ), .83237331116054735414989063179341648  ,   .83237331116054735414989063179341648  , .16282486571070316869304103317873899  , 1.  -( .16282486571070316869304103317873899  )-( .83237331116054735414989063179341648  ),   .83237331116054735414989063179341648  , 1.  -( .16282486571070316869304103317873899  )-( .83237331116054735414989063179341648  ), .16282486571070316869304103317873899  ,   1.  -( .16282486571070316869304103317873899  )-( .83237331116054735414989063179341648  ), .16282486571070316869304103317873899  , .83237331116054735414989063179341648  ,   1.  -( .16282486571070316869304103317873899  )-( .83237331116054735414989063179341648  ), .83237331116054735414989063179341648  , .16282486571070316869304103317873899  ,
    
 .06468063449817511170284328732719589  , .92925769945837560706677619337951412  , 1.  -( .06468063449817511170284328732719589  )-( .92925769945837560706677619337951412  ),   .06468063449817511170284328732719589  , 1.  -( .06468063449817511170284328732719589  )-( .92925769945837560706677619337951412  ), .92925769945837560706677619337951412  ,   .92925769945837560706677619337951412  , .06468063449817511170284328732719589  , 1.  -( .06468063449817511170284328732719589  )-( .92925769945837560706677619337951412  ),   .92925769945837560706677619337951412  , 1.  -( .06468063449817511170284328732719589  )-( .92925769945837560706677619337951412  ), .06468063449817511170284328732719589  ,   1.  -( .06468063449817511170284328732719589  )-( .92925769945837560706677619337951412  ), .06468063449817511170284328732719589  , .92925769945837560706677619337951412  ,   1.  -( .06468063449817511170284328732719589  )-( .92925769945837560706677619337951412  ), .92925769945837560706677619337951412  , .06468063449817511170284328732719589  ,
    
 .33400627700511908113700959506140627  , .61323701639938793580192466071340766  , 1.  -( .33400627700511908113700959506140627  )-( .61323701639938793580192466071340766  ),   .33400627700511908113700959506140627  , 1.  -( .33400627700511908113700959506140627  )-( .61323701639938793580192466071340766  ), .61323701639938793580192466071340766  ,   .61323701639938793580192466071340766  , .33400627700511908113700959506140627  , 1.  -( .33400627700511908113700959506140627  )-( .61323701639938793580192466071340766  ),   .61323701639938793580192466071340766  , 1.  -( .33400627700511908113700959506140627  )-( .61323701639938793580192466071340766  ), .33400627700511908113700959506140627  ,   1.  -( .33400627700511908113700959506140627  )-( .61323701639938793580192466071340766  ), .33400627700511908113700959506140627  , .61323701639938793580192466071340766  ,   1.  -( .33400627700511908113700959506140627  )-( .61323701639938793580192466071340766  ), .61323701639938793580192466071340766  , .33400627700511908113700959506140627  ,
    
 .21092379552418127847921338445298798  , .75151051490601053625741794541954190  , 1.  -( .21092379552418127847921338445298798  )-( .75151051490601053625741794541954190  ),   .21092379552418127847921338445298798  , 1.  -( .21092379552418127847921338445298798  )-( .75151051490601053625741794541954190  ), .75151051490601053625741794541954190  ,   .75151051490601053625741794541954190  , .21092379552418127847921338445298798  , 1.  -( .21092379552418127847921338445298798  )-( .75151051490601053625741794541954190  ),   .75151051490601053625741794541954190  , 1.  -( .21092379552418127847921338445298798  )-( .75151051490601053625741794541954190  ), .21092379552418127847921338445298798  ,   1.  -( .21092379552418127847921338445298798  )-( .75151051490601053625741794541954190  ), .21092379552418127847921338445298798  , .75151051490601053625741794541954190  ,   1.  -( .21092379552418127847921338445298798  )-( .75151051490601053625741794541954190  ), .75151051490601053625741794541954190  , .21092379552418127847921338445298798  ,
    
 .11508038084136831598057023754719804  , .85015113156210283588089253042485358  , 1.  -( .11508038084136831598057023754719804  )-( .85015113156210283588089253042485358  ),   .11508038084136831598057023754719804  , 1.  -( .11508038084136831598057023754719804  )-( .85015113156210283588089253042485358  ), .85015113156210283588089253042485358  ,   .85015113156210283588089253042485358  , .11508038084136831598057023754719804  , 1.  -( .11508038084136831598057023754719804  )-( .85015113156210283588089253042485358  ),   .85015113156210283588089253042485358  , 1.  -( .11508038084136831598057023754719804  )-( .85015113156210283588089253042485358  ), .11508038084136831598057023754719804  ,   1.  -( .11508038084136831598057023754719804  )-( .85015113156210283588089253042485358  ), .11508038084136831598057023754719804  , .85015113156210283588089253042485358  ,   1.  -( .11508038084136831598057023754719804  )-( .85015113156210283588089253042485358  ), .85015113156210283588089253042485358  , .11508038084136831598057023754719804  ,
    
 .31075208646508429564535326048014931  , .56198974953953613108255692415961755  , 1.  -( .31075208646508429564535326048014931  )-( .56198974953953613108255692415961755  ),   .31075208646508429564535326048014931  , 1.  -( .31075208646508429564535326048014931  )-( .56198974953953613108255692415961755  ), .56198974953953613108255692415961755  ,   .56198974953953613108255692415961755  , .31075208646508429564535326048014931  , 1.  -( .31075208646508429564535326048014931  )-( .56198974953953613108255692415961755  ),   .56198974953953613108255692415961755  , 1.  -( .31075208646508429564535326048014931  )-( .56198974953953613108255692415961755  ), .31075208646508429564535326048014931  ,   1.  -( .31075208646508429564535326048014931  )-( .56198974953953613108255692415961755  ), .31075208646508429564535326048014931  , .56198974953953613108255692415961755  ,   1.  -( .31075208646508429564535326048014931  )-( .56198974953953613108255692415961755  ), .56198974953953613108255692415961755  , .31075208646508429564535326048014931  ,
    
 .20200619801045898902767636571938539  , .70171644023616188456192811677305342  , 1.  -( .20200619801045898902767636571938539  )-( .70171644023616188456192811677305342  ),   .20200619801045898902767636571938539  , 1.  -( .20200619801045898902767636571938539  )-( .70171644023616188456192811677305342  ), .70171644023616188456192811677305342  ,   .70171644023616188456192811677305342  , .20200619801045898902767636571938539  , 1.  -( .20200619801045898902767636571938539  )-( .70171644023616188456192811677305342  ),   .70171644023616188456192811677305342  , 1.  -( .20200619801045898902767636571938539  )-( .70171644023616188456192811677305342  ), .20200619801045898902767636571938539  ,   1.  -( .20200619801045898902767636571938539  )-( .70171644023616188456192811677305342  ), .20200619801045898902767636571938539  , .70171644023616188456192811677305342  ,   1.  -( .20200619801045898902767636571938539  )-( .70171644023616188456192811677305342  ), .70171644023616188456192811677305342  , .20200619801045898902767636571938539  ,
    
 .28902320790895929973608959414472710  , .49138856232319209839401293034098827  , 1.  -( .28902320790895929973608959414472710  )-( .49138856232319209839401293034098827  ),   .28902320790895929973608959414472710  , 1.  -( .28902320790895929973608959414472710  )-( .49138856232319209839401293034098827  ), .49138856232319209839401293034098827  ,   .49138856232319209839401293034098827  , .28902320790895929973608959414472710  , 1.  -( .28902320790895929973608959414472710  )-( .49138856232319209839401293034098827  ),   .49138856232319209839401293034098827  , 1.  -( .28902320790895929973608959414472710  )-( .49138856232319209839401293034098827  ), .28902320790895929973608959414472710  ,   1.  -( .28902320790895929973608959414472710  )-( .49138856232319209839401293034098827  ), .28902320790895929973608959414472710  , .49138856232319209839401293034098827  ,   1.  -( .28902320790895929973608959414472710  )-( .49138856232319209839401293034098827  ), .49138856232319209839401293034098827  , .28902320790895929973608959414472710  
}

Definition at line 1017 of file quad.c.

                                                             {
    Perm3(.33333333333333333333333333333333333),
    Perm21(.47253969049374944291236394079678822),
    Perm21(.43559179765819053474788158522088855),
    Perm21(.38548317769095410374903697427852223),
    Perm21(.18589787266938260089793207404361894),
    Perm21(.10294309387227568202927226453268166),
    Perm21(.04420435682210499536228665005842580),
    Perm21(.01187700008194990884008379159291605),
    Perm111(.42317710194393600041367501539791831,
        .56624681421216737896202019229528315),
    Perm111(.28717803493735130968896269265785627,
        .70363134375008177073022062562769704),
    Perm111(.16282486571070316869304103317873899,
        .83237331116054735414989063179341648),
    Perm111(.06468063449817511170284328732719589,
        .92925769945837560706677619337951412),
    Perm111(.33400627700511908113700959506140627,
        .61323701639938793580192466071340766),
    Perm111(.21092379552418127847921338445298798,
        .75151051490601053625741794541954190),
    Perm111(.11508038084136831598057023754719804,
        .85015113156210283588089253042485358),
    Perm111(.31075208646508429564535326048014931,
        .56198974953953613108255692415961755),
    Perm111(.20200619801045898902767636571938539,
        .70171644023616188456192811677305342),
    Perm111(.28902320790895929973608959414472710,
        .49138856232319209839401293034098827)
};

QUAD_2D_P20_wts

double QUAD_2D_P20_wts[]

static

Initial value:

= {
     .02343898837621685337578235989880370  ,
     .01701187887065179140821050028462978  , .01701187887065179140821050028462978  , .01701187887065179140821050028462978  ,
     .02213462902539847149771471956849632  , .02213462902539847149771471956849632  , .02213462902539847149771471956849632  ,
     .02225012034148936704815054477635356  , .02225012034148936704815054477635356  , .02225012034148936704815054477635356  ,
     .02108801427518765728972259255778044  , .02108801427518765728972259255778044  , .02108801427518765728972259255778044  ,
     .01436673198237250674135242117943876  , .01436673198237250674135242117943876  , .01436673198237250674135242117943876  ,
     .00596064247309054870158068681368087  , .00596064247309054870158068681368087  , .00596064247309054870158068681368087  ,
     .00185446185638856226012710730597991  , .00185446185638856226012710730597991  , .00185446185638856226012710730597991  ,
     .00766503799888173467975505965999393  , .00766503799888173467975505965999393  , .00766503799888173467975505965999393  , .00766503799888173467975505965999393  , .00766503799888173467975505965999393  , .00766503799888173467975505965999393  ,
     .00611096641377269564490800130795800  , .00611096641377269564490800130795800  , .00611096641377269564490800130795800  , .00611096641377269564490800130795800  , .00611096641377269564490800130795800  , .00611096641377269564490800130795800  ,
     .00329750122890750342409287108138500  , .00329750122890750342409287108138500  , .00329750122890750342409287108138500  , .00329750122890750342409287108138500  , .00329750122890750342409287108138500  , .00329750122890750342409287108138500  ,
     .00258504328745784243926241647780699  , .00258504328745784243926241647780699  , .00258504328745784243926241647780699  , .00258504328745784243926241647780699  , .00258504328745784243926241647780699  , .00258504328745784243926241647780699  ,
     .01604829966346833686116840419650012  , .01604829966346833686116840419650012  , .01604829966346833686116840419650012  , .01604829966346833686116840419650012  , .01604829966346833686116840419650012  , .01604829966346833686116840419650012  ,
     .00987379147789446687652271685071374  , .00987379147789446687652271685071374  , .00987379147789446687652271685071374  , .00987379147789446687652271685071374  , .00987379147789446687652271685071374  , .00987379147789446687652271685071374  ,
     .00817314741769008089505196969930370  , .00817314741769008089505196969930370  , .00817314741769008089505196969930370  , .00817314741769008089505196969930370  , .00817314741769008089505196969930370  , .00817314741769008089505196969930370  ,
     .02127212420812707803762062418100071  , .02127212420812707803762062418100071  , .02127212420812707803762062418100071  , .02127212420812707803762062418100071  , .02127212420812707803762062418100071  , .02127212420812707803762062418100071  ,
     .01629559968072678577307785994248523  , .01629559968072678577307785994248523  , .01629559968072678577307785994248523  , .01629559968072678577307785994248523  , .01629559968072678577307785994248523  , .01629559968072678577307785994248523  ,
     .01910541781474788066581373037653881  , .01910541781474788066581373037653881  , .01910541781474788066581373037653881  , .01910541781474788066581373037653881  , .01910541781474788066581373037653881  , .01910541781474788066581373037653881  
}

Definition at line 997 of file quad.c.

                                  {
    Dup3(.02343898837621685337578235989880370),
    Dup21(.01701187887065179140821050028462978),
    Dup21(.02213462902539847149771471956849632),
    Dup21(.02225012034148936704815054477635356),
    Dup21(.02108801427518765728972259255778044),
    Dup21(.01436673198237250674135242117943876),
    Dup21(.00596064247309054870158068681368087),
    Dup21(.00185446185638856226012710730597991),
    Dup111(.00766503799888173467975505965999393),
    Dup111(.00611096641377269564490800130795800),
    Dup111(.00329750122890750342409287108138500),
    Dup111(.00258504328745784243926241647780699),
    Dup111(.01604829966346833686116840419650012),
    Dup111(.00987379147789446687652271685071374),
    Dup111(.00817314741769008089505196969930370),
    Dup111(.02127212420812707803762062418100071),
    Dup111(.01629559968072678577307785994248523),
    Dup111(.01910541781474788066581373037653881)
};

QUAD_2D_P21_

QUAD QUAD_2D_P21_

Initial value:

= {
    "2D P21",           
    2,              
    21,             
     (sizeof(QUAD_2D_P21_wts) / (sizeof(QUAD_2D_P21_wts[0]))) , 
    QUAD_2D_P21_pts,        
    QUAD_2D_P21_wts,        
    -1              
}

Definition at line 1104 of file quad.c.

                    {
    "2D P21",           /* name */
    2,              /* dim */
    21,             /* order */
    Length(QUAD_2D_P21_wts),    /* npoints = 87 */
    QUAD_2D_P21_pts,        /* points */
    QUAD_2D_P21_wts,        /* weights */
    -1              /* id */
};

QUAD_2D_P21_pts

double QUAD_2D_P21_pts[(sizeof(QUAD_2D_P21_wts)/(sizeof(QUAD_2D_P21_wts[0]))) *3]

static

Initial value:

= {
     1.  -( .01083064791389613439818531875282892  )-( .01083064791389613439818531875282892  ), .01083064791389613439818531875282892  , .01083064791389613439818531875282892  ,   .01083064791389613439818531875282892  , 1.  -( .01083064791389613439818531875282892  )-( .01083064791389613439818531875282892  ), .01083064791389613439818531875282892  ,   .01083064791389613439818531875282892  , .01083064791389613439818531875282892  , 1.  -( .01083064791389613439818531875282892  )-( .01083064791389613439818531875282892  ),
     1.  -( .49868116928006762187511807510022292  )-( .49868116928006762187511807510022292  ), .49868116928006762187511807510022292  , .49868116928006762187511807510022292  ,   .49868116928006762187511807510022292  , 1.  -( .49868116928006762187511807510022292  )-( .49868116928006762187511807510022292  ), .49868116928006762187511807510022292  ,   .49868116928006762187511807510022292  , .49868116928006762187511807510022292  , 1.  -( .49868116928006762187511807510022292  )-( .49868116928006762187511807510022292  ),
     1.  -( .05320630259370221372937428477043579  )-( .05320630259370221372937428477043579  ), .05320630259370221372937428477043579  , .05320630259370221372937428477043579  ,   .05320630259370221372937428477043579  , 1.  -( .05320630259370221372937428477043579  )-( .05320630259370221372937428477043579  ), .05320630259370221372937428477043579  ,   .05320630259370221372937428477043579  , .05320630259370221372937428477043579  , 1.  -( .05320630259370221372937428477043579  )-( .05320630259370221372937428477043579  ),
     1.  -( .48436880679907196058128682726473251  )-( .48436880679907196058128682726473251  ), .48436880679907196058128682726473251  , .48436880679907196058128682726473251  ,   .48436880679907196058128682726473251  , 1.  -( .48436880679907196058128682726473251  )-( .48436880679907196058128682726473251  ), .48436880679907196058128682726473251  ,   .48436880679907196058128682726473251  , .48436880679907196058128682726473251  , 1.  -( .48436880679907196058128682726473251  )-( .48436880679907196058128682726473251  ),
     1.  -( .11717932446409532061312493414817476  )-( .11717932446409532061312493414817476  ), .11717932446409532061312493414817476  , .11717932446409532061312493414817476  ,   .11717932446409532061312493414817476  , 1.  -( .11717932446409532061312493414817476  )-( .11717932446409532061312493414817476  ), .11717932446409532061312493414817476  ,   .11717932446409532061312493414817476  , .11717932446409532061312493414817476  , 1.  -( .11717932446409532061312493414817476  )-( .11717932446409532061312493414817476  ),
     1.  -( .18619987453160044065356184245386411  )-( .18619987453160044065356184245386411  ), .18619987453160044065356184245386411  , .18619987453160044065356184245386411  ,   .18619987453160044065356184245386411  , 1.  -( .18619987453160044065356184245386411  )-( .18619987453160044065356184245386411  ), .18619987453160044065356184245386411  ,   .18619987453160044065356184245386411  , .18619987453160044065356184245386411  , 1.  -( .18619987453160044065356184245386411  )-( .18619987453160044065356184245386411  ),
     1.  -( .23770504697050237030777008826766300  )-( .23770504697050237030777008826766300  ), .23770504697050237030777008826766300  , .23770504697050237030777008826766300  ,   .23770504697050237030777008826766300  , 1.  -( .23770504697050237030777008826766300  )-( .23770504697050237030777008826766300  ), .23770504697050237030777008826766300  ,   .23770504697050237030777008826766300  , .23770504697050237030777008826766300  , 1.  -( .23770504697050237030777008826766300  )-( .23770504697050237030777008826766300  ),
     1.  -( .45111809686333143558277239278860940  )-( .45111809686333143558277239278860940  ), .45111809686333143558277239278860940  , .45111809686333143558277239278860940  ,   .45111809686333143558277239278860940  , 1.  -( .45111809686333143558277239278860940  )-( .45111809686333143558277239278860940  ), .45111809686333143558277239278860940  ,   .45111809686333143558277239278860940  , .45111809686333143558277239278860940  , 1.  -( .45111809686333143558277239278860940  )-( .45111809686333143558277239278860940  ),
     1.  -( .29890161661837960265935712860196744  )-( .29890161661837960265935712860196744  ), .29890161661837960265935712860196744  , .29890161661837960265935712860196744  ,   .29890161661837960265935712860196744  , 1.  -( .29890161661837960265935712860196744  )-( .29890161661837960265935712860196744  ), .29890161661837960265935712860196744  ,   .29890161661837960265935712860196744  , .29890161661837960265935712860196744  , 1.  -( .29890161661837960265935712860196744  )-( .29890161661837960265935712860196744  ),
     .01017037551397023833029242013076474  , .05610607874044113073901605353578031  , 1.  -( .01017037551397023833029242013076474  )-( .05610607874044113073901605353578031  ),   .01017037551397023833029242013076474  , 1.  -( .01017037551397023833029242013076474  )-( .05610607874044113073901605353578031  ), .05610607874044113073901605353578031  ,   .05610607874044113073901605353578031  , .01017037551397023833029242013076474  , 1.  -( .01017037551397023833029242013076474  )-( .05610607874044113073901605353578031  ),   .05610607874044113073901605353578031  , 1.  -( .01017037551397023833029242013076474  )-( .05610607874044113073901605353578031  ), .01017037551397023833029242013076474  ,   1.  -( .01017037551397023833029242013076474  )-( .05610607874044113073901605353578031  ), .01017037551397023833029242013076474  , .05610607874044113073901605353578031  ,   1.  -( .01017037551397023833029242013076474  )-( .05610607874044113073901605353578031  ), .05610607874044113073901605353578031  , .01017037551397023833029242013076474  ,
     .00740148001912942691985111704851672  , .23806090893927819107377783880076336  , 1.  -( .00740148001912942691985111704851672  )-( .23806090893927819107377783880076336  ),   .00740148001912942691985111704851672  , 1.  -( .00740148001912942691985111704851672  )-( .23806090893927819107377783880076336  ), .23806090893927819107377783880076336  ,   .23806090893927819107377783880076336  , .00740148001912942691985111704851672  , 1.  -( .00740148001912942691985111704851672  )-( .23806090893927819107377783880076336  ),   .23806090893927819107377783880076336  , 1.  -( .00740148001912942691985111704851672  )-( .23806090893927819107377783880076336  ), .00740148001912942691985111704851672  ,   1.  -( .00740148001912942691985111704851672  )-( .23806090893927819107377783880076336  ), .00740148001912942691985111704851672  , .23806090893927819107377783880076336  ,   1.  -( .00740148001912942691985111704851672  )-( .23806090893927819107377783880076336  ), .23806090893927819107377783880076336  , .00740148001912942691985111704851672  ,
     .00948888021003903598802889438007338  , .13371423612729252503412567154133090  , 1.  -( .00948888021003903598802889438007338  )-( .13371423612729252503412567154133090  ),   .00948888021003903598802889438007338  , 1.  -( .00948888021003903598802889438007338  )-( .13371423612729252503412567154133090  ), .13371423612729252503412567154133090  ,   .13371423612729252503412567154133090  , .00948888021003903598802889438007338  , 1.  -( .00948888021003903598802889438007338  )-( .13371423612729252503412567154133090  ),   .13371423612729252503412567154133090  , 1.  -( .00948888021003903598802889438007338  )-( .13371423612729252503412567154133090  ), .00948888021003903598802889438007338  ,   1.  -( .00948888021003903598802889438007338  )-( .13371423612729252503412567154133090  ), .00948888021003903598802889438007338  , .13371423612729252503412567154133090  ,   1.  -( .00948888021003903598802889438007338  )-( .13371423612729252503412567154133090  ), .13371423612729252503412567154133090  , .00948888021003903598802889438007338  ,
     .01078708528953292731070298166591233  , .36087827036133643028378433162192850  , 1.  -( .01078708528953292731070298166591233  )-( .36087827036133643028378433162192850  ),   .01078708528953292731070298166591233  , 1.  -( .01078708528953292731070298166591233  )-( .36087827036133643028378433162192850  ), .36087827036133643028378433162192850  ,   .36087827036133643028378433162192850  , .01078708528953292731070298166591233  , 1.  -( .01078708528953292731070298166591233  )-( .36087827036133643028378433162192850  ),   .36087827036133643028378433162192850  , 1.  -( .01078708528953292731070298166591233  )-( .36087827036133643028378433162192850  ), .01078708528953292731070298166591233  ,   1.  -( .01078708528953292731070298166591233  )-( .36087827036133643028378433162192850  ), .01078708528953292731070298166591233  , .36087827036133643028378433162192850  ,   1.  -( .01078708528953292731070298166591233  )-( .36087827036133643028378433162192850  ), .36087827036133643028378433162192850  , .01078708528953292731070298166591233  ,
     .04888641015641196213015335363186247  , .12856000707434670174510612755634180  , 1.  -( .04888641015641196213015335363186247  )-( .12856000707434670174510612755634180  ),   .04888641015641196213015335363186247  , 1.  -( .04888641015641196213015335363186247  )-( .12856000707434670174510612755634180  ), .12856000707434670174510612755634180  ,   .12856000707434670174510612755634180  , .04888641015641196213015335363186247  , 1.  -( .04888641015641196213015335363186247  )-( .12856000707434670174510612755634180  ),   .12856000707434670174510612755634180  , 1.  -( .04888641015641196213015335363186247  )-( .12856000707434670174510612755634180  ), .04888641015641196213015335363186247  ,   1.  -( .04888641015641196213015335363186247  )-( .12856000707434670174510612755634180  ), .04888641015641196213015335363186247  , .12856000707434670174510612755634180  ,   1.  -( .04888641015641196213015335363186247  )-( .12856000707434670174510612755634180  ), .12856000707434670174510612755634180  , .04888641015641196213015335363186247  ,
     .04079047843492138579001393428298806  , .23192922019831618515287729451119134  , 1.  -( .04079047843492138579001393428298806  )-( .23192922019831618515287729451119134  ),   .04079047843492138579001393428298806  , 1.  -( .04079047843492138579001393428298806  )-( .23192922019831618515287729451119134  ), .23192922019831618515287729451119134  ,   .23192922019831618515287729451119134  , .04079047843492138579001393428298806  , 1.  -( .04079047843492138579001393428298806  )-( .23192922019831618515287729451119134  ),   .23192922019831618515287729451119134  , 1.  -( .04079047843492138579001393428298806  )-( .23192922019831618515287729451119134  ), .04079047843492138579001393428298806  ,   1.  -( .04079047843492138579001393428298806  )-( .23192922019831618515287729451119134  ), .04079047843492138579001393428298806  , .23192922019831618515287729451119134  ,   1.  -( .04079047843492138579001393428298806  )-( .23192922019831618515287729451119134  ), .23192922019831618515287729451119134  , .04079047843492138579001393428298806  ,
     .10225476525427212998164710587805099  , .21318238024685212224076314392042087  , 1.  -( .10225476525427212998164710587805099  )-( .21318238024685212224076314392042087  ),   .10225476525427212998164710587805099  , 1.  -( .10225476525427212998164710587805099  )-( .21318238024685212224076314392042087  ), .21318238024685212224076314392042087  ,   .21318238024685212224076314392042087  , .10225476525427212998164710587805099  , 1.  -( .10225476525427212998164710587805099  )-( .21318238024685212224076314392042087  ),   .21318238024685212224076314392042087  , 1.  -( .10225476525427212998164710587805099  )-( .21318238024685212224076314392042087  ), .10225476525427212998164710587805099  ,   1.  -( .10225476525427212998164710587805099  )-( .21318238024685212224076314392042087  ), .10225476525427212998164710587805099  , .21318238024685212224076314392042087  ,   1.  -( .10225476525427212998164710587805099  )-( .21318238024685212224076314392042087  ), .21318238024685212224076314392042087  , .10225476525427212998164710587805099  ,
     .05619510372649343472752614615138017  , .34615363893081412151163375832691108  , 1.  -( .05619510372649343472752614615138017  )-( .34615363893081412151163375832691108  ),   .05619510372649343472752614615138017  , 1.  -( .05619510372649343472752614615138017  )-( .34615363893081412151163375832691108  ), .34615363893081412151163375832691108  ,   .34615363893081412151163375832691108  , .05619510372649343472752614615138017  , 1.  -( .05619510372649343472752614615138017  )-( .34615363893081412151163375832691108  ),   .34615363893081412151163375832691108  , 1.  -( .05619510372649343472752614615138017  )-( .34615363893081412151163375832691108  ), .05619510372649343472752614615138017  ,   1.  -( .05619510372649343472752614615138017  )-( .34615363893081412151163375832691108  ), .05619510372649343472752614615138017  , .34615363893081412151163375832691108  ,   1.  -( .05619510372649343472752614615138017  )-( .34615363893081412151163375832691108  ), .34615363893081412151163375832691108  , .05619510372649343472752614615138017  ,
     .19392111402204940534236787859220491  , .35741779412597604193763009688130316  , 1.  -( .19392111402204940534236787859220491  )-( .35741779412597604193763009688130316  ),   .19392111402204940534236787859220491  , 1.  -( .19392111402204940534236787859220491  )-( .35741779412597604193763009688130316  ), .35741779412597604193763009688130316  ,   .35741779412597604193763009688130316  , .19392111402204940534236787859220491  , 1.  -( .19392111402204940534236787859220491  )-( .35741779412597604193763009688130316  ),   .35741779412597604193763009688130316  , 1.  -( .19392111402204940534236787859220491  )-( .35741779412597604193763009688130316  ), .19392111402204940534236787859220491  ,   1.  -( .19392111402204940534236787859220491  )-( .35741779412597604193763009688130316  ), .19392111402204940534236787859220491  , .35741779412597604193763009688130316  ,   1.  -( .19392111402204940534236787859220491  )-( .35741779412597604193763009688130316  ), .35741779412597604193763009688130316  , .19392111402204940534236787859220491  ,
     .13139693759954925634229231531863966  , .30964180048539107980510336108955521  , 1.  -( .13139693759954925634229231531863966  )-( .30964180048539107980510336108955521  ),   .13139693759954925634229231531863966  , 1.  -( .13139693759954925634229231531863966  )-( .30964180048539107980510336108955521  ), .30964180048539107980510336108955521  ,   .30964180048539107980510336108955521  , .13139693759954925634229231531863966  , 1.  -( .13139693759954925634229231531863966  )-( .30964180048539107980510336108955521  ),   .30964180048539107980510336108955521  , 1.  -( .13139693759954925634229231531863966  )-( .30964180048539107980510336108955521  ), .13139693759954925634229231531863966  ,   1.  -( .13139693759954925634229231531863966  )-( .30964180048539107980510336108955521  ), .13139693759954925634229231531863966  , .30964180048539107980510336108955521  ,   1.  -( .13139693759954925634229231531863966  )-( .30964180048539107980510336108955521  ), .30964180048539107980510336108955521  , .13139693759954925634229231531863966  
}

Definition at line 1083 of file quad.c.

                                                             {
    Perm21(.01083064791389613439818531875282892),
    Perm21(.49868116928006762187511807510022292),
    Perm21(.05320630259370221372937428477043579),
    Perm21(.48436880679907196058128682726473251),
    Perm21(.11717932446409532061312493414817476),
    Perm21(.18619987453160044065356184245386411),
    Perm21(.23770504697050237030777008826766300),
    Perm21(.45111809686333143558277239278860940),
    Perm21(.29890161661837960265935712860196744),
    Perm111(.01017037551397023833029242013076474,.05610607874044113073901605353578031),
    Perm111(.00740148001912942691985111704851672,.23806090893927819107377783880076336),
    Perm111(.00948888021003903598802889438007338,.13371423612729252503412567154133090),
    Perm111(.01078708528953292731070298166591233,.36087827036133643028378433162192850),
    Perm111(.04888641015641196213015335363186247,.12856000707434670174510612755634180),
    Perm111(.04079047843492138579001393428298806,.23192922019831618515287729451119134),
    Perm111(.10225476525427212998164710587805099,.21318238024685212224076314392042087),
    Perm111(.05619510372649343472752614615138017,.34615363893081412151163375832691108),
    Perm111(.19392111402204940534236787859220491,.35741779412597604193763009688130316),
    Perm111(.13139693759954925634229231531863966,.30964180048539107980510336108955521)
};

QUAD_2D_P21_wts

double QUAD_2D_P21_wts[]

static

Initial value:

= {
     .00153252214157029927832972284942362  , .00153252214157029927832972284942362  , .00153252214157029927832972284942362  ,
     .00295964208580089055557643244435822  , .00295964208580089055557643244435822  , .00295964208580089055557643244435822  ,
     .00710507195198322705473634640429004  , .00710507195198322705473634640429004  , .00710507195198322705473634640429004  ,
     .01242202545015119261392701182790142  , .01242202545015119261392701182790142  , .01242202545015119261392701182790142  ,
     .01315385309054860400530165567389379  , .01315385309054860400530165567389379  , .01315385309054860400530165567389379  ,
     .01610711993355940881429849025111080  , .01610711993355940881429849025111080  , .01610711993355940881429849025111080  ,
     .01955699832742153003791726026064669  , .01955699832742153003791726026064669  , .01955699832742153003791726026064669  ,
     .02114714580341115240235728776162335  , .02114714580341115240235728776162335  , .02114714580341115240235728776162335  ,
     .02148724961809553292499438055586582  , .02148724961809553292499438055586582  , .02148724961809553292499438055586582  ,
     .00324321603629715843164230514808509  , .00324321603629715843164230514808509  , .00324321603629715843164230514808509  , .00324321603629715843164230514808509  , .00324321603629715843164230514808509  , .00324321603629715843164230514808509  ,
     .00444606682456729614112175291076191  , .00444606682456729614112175291076191  , .00444606682456729614112175291076191  , .00444606682456729614112175291076191  , .00444606682456729614112175291076191  , .00444606682456729614112175291076191  ,
     .00444713701276898568121864572732943  , .00444713701276898568121864572732943  , .00444713701276898568121864572732943  , .00444713701276898568121864572732943  , .00444713701276898568121864572732943  , .00444713701276898568121864572732943  ,
     .00719283008979440275755795626382300  , .00719283008979440275755795626382300  , .00719283008979440275755795626382300  , .00719283008979440275755795626382300  , .00719283008979440275755795626382300  , .00719283008979440275755795626382300  ,
     .00968818276967735751464842894718971  , .00968818276967735751464842894718971  , .00968818276967735751464842894718971  , .00968818276967735751464842894718971  , .00968818276967735751464842894718971  , .00968818276967735751464842894718971  ,
     .01077186725474600415287816641481312  , .01077186725474600415287816641481312  , .01077186725474600415287816641481312  , .01077186725474600415287816641481312  , .01077186725474600415287816641481312  , .01077186725474600415287816641481312  ,
     .01537644879227419490362875554570800  , .01537644879227419490362875554570800  , .01537644879227419490362875554570800  , .01537644879227419490362875554570800  , .01537644879227419490362875554570800  , .01537644879227419490362875554570800  ,
     .01541820162505099647808429434299382  , .01541820162505099647808429434299382  , .01541820162505099647808429434299382  , .01541820162505099647808429434299382  , .01541820162505099647808429434299382  , .01541820162505099647808429434299382  ,
     .01872799408182348912155361034660658  , .01872799408182348912155361034660658  , .01872799408182348912155361034660658  , .01872799408182348912155361034660658  , .01872799408182348912155361034660658  , .01872799408182348912155361034660658  ,
     .01961890797839586264061345700479913  , .01961890797839586264061345700479913  , .01961890797839586264061345700479913  , .01961890797839586264061345700479913  , .01961890797839586264061345700479913  , .01961890797839586264061345700479913  
}

Definition at line 1062 of file quad.c.

                                  {
    Dup21(.00153252214157029927832972284942362),
    Dup21(.00295964208580089055557643244435822),
    Dup21(.00710507195198322705473634640429004),
    Dup21(.01242202545015119261392701182790142),
    Dup21(.01315385309054860400530165567389379),
    Dup21(.01610711993355940881429849025111080),
    Dup21(.01955699832742153003791726026064669),
    Dup21(.02114714580341115240235728776162335),
    Dup21(.02148724961809553292499438055586582),
    Dup111(.00324321603629715843164230514808509),
    Dup111(.00444606682456729614112175291076191),
    Dup111(.00444713701276898568121864572732943),
    Dup111(.00719283008979440275755795626382300),
    Dup111(.00968818276967735751464842894718971),
    Dup111(.01077186725474600415287816641481312),
    Dup111(.01537644879227419490362875554570800),
    Dup111(.01541820162505099647808429434299382),
    Dup111(.01872799408182348912155361034660658),
    Dup111(.01961890797839586264061345700479913)
};

QUAD_2D_P22_

QUAD QUAD_2D_P22_

Initial value:

= {
    "2D P22",           
    2,              
    22,             
     (sizeof(QUAD_2D_P22_wts) / (sizeof(QUAD_2D_P22_wts[0]))) , 
    QUAD_2D_P22_pts,        
    QUAD_2D_P22_wts,        
    -1              
}

Definition at line 1165 of file quad.c.

                    {
    "2D P22",           /* name */
    2,              /* dim */
    22,             /* order */
    Length(QUAD_2D_P22_wts),    /* npoints = 96 */
    QUAD_2D_P22_pts,        /* points */
    QUAD_2D_P22_wts,        /* weights */
    -1              /* id */
};

QUAD_2D_P22_pts

double QUAD_2D_P22_pts[(sizeof(QUAD_2D_P22_wts)/(sizeof(QUAD_2D_P22_wts[0]))) *3]

static

Initial value:

= {
     1.  -( .00722823551590805269240186985118743  )-( .00722823551590805269240186985118743  ), .00722823551590805269240186985118743  , .00722823551590805269240186985118743  ,   .00722823551590805269240186985118743  , 1.  -( .00722823551590805269240186985118743  )-( .00722823551590805269240186985118743  ), .00722823551590805269240186985118743  ,   .00722823551590805269240186985118743  , .00722823551590805269240186985118743  , 1.  -( .00722823551590805269240186985118743  )-( .00722823551590805269240186985118743  ),
     1.  -( .49971491656223188463531154910591767  )-( .49971491656223188463531154910591767  ), .49971491656223188463531154910591767  , .49971491656223188463531154910591767  ,   .49971491656223188463531154910591767  , 1.  -( .49971491656223188463531154910591767  )-( .49971491656223188463531154910591767  ), .49971491656223188463531154910591767  ,   .49971491656223188463531154910591767  , .49971491656223188463531154910591767  , 1.  -( .49971491656223188463531154910591767  )-( .49971491656223188463531154910591767  ),
     1.  -( .04195252727280408802705553682804348  )-( .04195252727280408802705553682804348  ), .04195252727280408802705553682804348  , .04195252727280408802705553682804348  ,   .04195252727280408802705553682804348  , 1.  -( .04195252727280408802705553682804348  )-( .04195252727280408802705553682804348  ), .04195252727280408802705553682804348  ,   .04195252727280408802705553682804348  , .04195252727280408802705553682804348  , 1.  -( .04195252727280408802705553682804348  )-( .04195252727280408802705553682804348  ),
     1.  -( .31413219152050094565940577630042994  )-( .31413219152050094565940577630042994  ), .31413219152050094565940577630042994  , .31413219152050094565940577630042994  ,   .31413219152050094565940577630042994  , 1.  -( .31413219152050094565940577630042994  )-( .31413219152050094565940577630042994  ), .31413219152050094565940577630042994  ,   .31413219152050094565940577630042994  , .31413219152050094565940577630042994  , 1.  -( .31413219152050094565940577630042994  )-( .31413219152050094565940577630042994  ),
     1.  -( .48001365161711654879356466888729030  )-( .48001365161711654879356466888729030  ), .48001365161711654879356466888729030  , .48001365161711654879356466888729030  ,   .48001365161711654879356466888729030  , 1.  -( .48001365161711654879356466888729030  )-( .48001365161711654879356466888729030  ), .48001365161711654879356466888729030  ,   .48001365161711654879356466888729030  , .48001365161711654879356466888729030  , 1.  -( .48001365161711654879356466888729030  )-( .48001365161711654879356466888729030  ),
     1.  -( .12308745423016114898448687333895172  )-( .12308745423016114898448687333895172  ), .12308745423016114898448687333895172  , .12308745423016114898448687333895172  ,   .12308745423016114898448687333895172  , 1.  -( .12308745423016114898448687333895172  )-( .12308745423016114898448687333895172  ), .12308745423016114898448687333895172  ,   .12308745423016114898448687333895172  , .12308745423016114898448687333895172  , 1.  -( .12308745423016114898448687333895172  )-( .12308745423016114898448687333895172  ),
     1.  -( .44571963043911530549256371899531770  )-( .44571963043911530549256371899531770  ), .44571963043911530549256371899531770  , .44571963043911530549256371899531770  ,   .44571963043911530549256371899531770  , 1.  -( .44571963043911530549256371899531770  )-( .44571963043911530549256371899531770  ), .44571963043911530549256371899531770  ,   .44571963043911530549256371899531770  , .44571963043911530549256371899531770  , 1.  -( .44571963043911530549256371899531770  )-( .44571963043911530549256371899531770  ),
     1.  -( .18986241218389367642303052024426076  )-( .18986241218389367642303052024426076  ), .18986241218389367642303052024426076  , .18986241218389367642303052024426076  ,   .18986241218389367642303052024426076  , 1.  -( .18986241218389367642303052024426076  )-( .18986241218389367642303052024426076  ), .18986241218389367642303052024426076  ,   .18986241218389367642303052024426076  , .18986241218389367642303052024426076  , 1.  -( .18986241218389367642303052024426076  )-( .18986241218389367642303052024426076  ),
     1.  -( .26033923338175577283598939801891875  )-( .26033923338175577283598939801891875  ), .26033923338175577283598939801891875  , .26033923338175577283598939801891875  ,   .26033923338175577283598939801891875  , 1.  -( .26033923338175577283598939801891875  )-( .26033923338175577283598939801891875  ), .26033923338175577283598939801891875  ,   .26033923338175577283598939801891875  , .26033923338175577283598939801891875  , 1.  -( .26033923338175577283598939801891875  )-( .26033923338175577283598939801891875  ),
     1.  -( .39636684767162598240715439210378845  )-( .39636684767162598240715439210378845  ), .39636684767162598240715439210378845  , .39636684767162598240715439210378845  ,   .39636684767162598240715439210378845  , 1.  -( .39636684767162598240715439210378845  )-( .39636684767162598240715439210378845  ), .39636684767162598240715439210378845  ,   .39636684767162598240715439210378845  , .39636684767162598240715439210378845  , 1.  -( .39636684767162598240715439210378845  )-( .39636684767162598240715439210378845  ),
     .00773958468860307799587341381217818  , .03910016782732837999359532547054414  , 1.  -( .00773958468860307799587341381217818  )-( .03910016782732837999359532547054414  ),   .00773958468860307799587341381217818  , 1.  -( .00773958468860307799587341381217818  )-( .03910016782732837999359532547054414  ), .03910016782732837999359532547054414  ,   .03910016782732837999359532547054414  , .00773958468860307799587341381217818  , 1.  -( .00773958468860307799587341381217818  )-( .03910016782732837999359532547054414  ),   .03910016782732837999359532547054414  , 1.  -( .00773958468860307799587341381217818  )-( .03910016782732837999359532547054414  ), .00773958468860307799587341381217818  ,   1.  -( .00773958468860307799587341381217818  )-( .03910016782732837999359532547054414  ), .00773958468860307799587341381217818  , .03910016782732837999359532547054414  ,   1.  -( .00773958468860307799587341381217818  )-( .03910016782732837999359532547054414  ), .03910016782732837999359532547054414  , .00773958468860307799587341381217818  ,
     .00057706413021840388680988197995853  , .29956301031600608000000000000000000  , 1.  -( .00057706413021840388680988197995853  )-( .29956301031600608000000000000000000  ),   .00057706413021840388680988197995853  , 1.  -( .00057706413021840388680988197995853  )-( .29956301031600608000000000000000000  ), .29956301031600608000000000000000000  ,   .29956301031600608000000000000000000  , .00057706413021840388680988197995853  , 1.  -( .00057706413021840388680988197995853  )-( .29956301031600608000000000000000000  ),   .29956301031600608000000000000000000  , 1.  -( .00057706413021840388680988197995853  )-( .29956301031600608000000000000000000  ), .00057706413021840388680988197995853  ,   1.  -( .00057706413021840388680988197995853  )-( .29956301031600608000000000000000000  ), .00057706413021840388680988197995853  , .29956301031600608000000000000000000  ,   1.  -( .00057706413021840388680988197995853  )-( .29956301031600608000000000000000000  ), .29956301031600608000000000000000000  , .00057706413021840388680988197995853  ,
     .00979577185352314036856347829609728  , .09916758085225246952608204467401148  , 1.  -( .00979577185352314036856347829609728  )-( .09916758085225246952608204467401148  ),   .00979577185352314036856347829609728  , 1.  -( .00979577185352314036856347829609728  )-( .09916758085225246952608204467401148  ), .09916758085225246952608204467401148  ,   .09916758085225246952608204467401148  , .00979577185352314036856347829609728  , 1.  -( .00979577185352314036856347829609728  )-( .09916758085225246952608204467401148  ),   .09916758085225246952608204467401148  , 1.  -( .00979577185352314036856347829609728  )-( .09916758085225246952608204467401148  ), .00979577185352314036856347829609728  ,   1.  -( .00979577185352314036856347829609728  )-( .09916758085225246952608204467401148  ), .00979577185352314036856347829609728  , .09916758085225246952608204467401148  ,   1.  -( .00979577185352314036856347829609728  )-( .09916758085225246952608204467401148  ), .09916758085225246952608204467401148  , .00979577185352314036856347829609728  ,
     .00918868020649896490029828421437019  , .18619068155280570806618576756346898  , 1.  -( .00918868020649896490029828421437019  )-( .18619068155280570806618576756346898  ),   .00918868020649896490029828421437019  , 1.  -( .00918868020649896490029828421437019  )-( .18619068155280570806618576756346898  ), .18619068155280570806618576756346898  ,   .18619068155280570806618576756346898  , .00918868020649896490029828421437019  , 1.  -( .00918868020649896490029828421437019  )-( .18619068155280570806618576756346898  ),   .18619068155280570806618576756346898  , 1.  -( .00918868020649896490029828421437019  )-( .18619068155280570806618576756346898  ), .00918868020649896490029828421437019  ,   1.  -( .00918868020649896490029828421437019  )-( .18619068155280570806618576756346898  ), .00918868020649896490029828421437019  , .18619068155280570806618576756346898  ,   1.  -( .00918868020649896490029828421437019  )-( .18619068155280570806618576756346898  ), .18619068155280570806618576756346898  , .00918868020649896490029828421437019  ,
     .01346708756840181797029316077776570  , .40293889185510044331704310704540997  , 1.  -( .01346708756840181797029316077776570  )-( .40293889185510044331704310704540997  ),   .01346708756840181797029316077776570  , 1.  -( .01346708756840181797029316077776570  )-( .40293889185510044331704310704540997  ), .40293889185510044331704310704540997  ,   .40293889185510044331704310704540997  , .01346708756840181797029316077776570  , 1.  -( .01346708756840181797029316077776570  )-( .40293889185510044331704310704540997  ),   .40293889185510044331704310704540997  , 1.  -( .01346708756840181797029316077776570  )-( .40293889185510044331704310704540997  ), .01346708756840181797029316077776570  ,   1.  -( .01346708756840181797029316077776570  )-( .40293889185510044331704310704540997  ), .01346708756840181797029316077776570  , .40293889185510044331704310704540997  ,   1.  -( .01346708756840181797029316077776570  )-( .40293889185510044331704310704540997  ), .40293889185510044331704310704540997  , .01346708756840181797029316077776570  ,
     .05062631246733689522786952921020785  , .10358808540929187702277517444504398  , 1.  -( .05062631246733689522786952921020785  )-( .10358808540929187702277517444504398  ),   .05062631246733689522786952921020785  , 1.  -( .05062631246733689522786952921020785  )-( .10358808540929187702277517444504398  ), .10358808540929187702277517444504398  ,   .10358808540929187702277517444504398  , .05062631246733689522786952921020785  , 1.  -( .05062631246733689522786952921020785  )-( .10358808540929187702277517444504398  ),   .10358808540929187702277517444504398  , 1.  -( .05062631246733689522786952921020785  )-( .10358808540929187702277517444504398  ), .05062631246733689522786952921020785  ,   1.  -( .05062631246733689522786952921020785  )-( .10358808540929187702277517444504398  ), .05062631246733689522786952921020785  , .10358808540929187702277517444504398  ,   1.  -( .05062631246733689522786952921020785  )-( .10358808540929187702277517444504398  ), .10358808540929187702277517444504398  , .05062631246733689522786952921020785  ,
     .04838811776183765022487372116607709  , .18082300688832890010580439799931826  , 1.  -( .04838811776183765022487372116607709  )-( .18082300688832890010580439799931826  ),   .04838811776183765022487372116607709  , 1.  -( .04838811776183765022487372116607709  )-( .18082300688832890010580439799931826  ), .18082300688832890010580439799931826  ,   .18082300688832890010580439799931826  , .04838811776183765022487372116607709  , 1.  -( .04838811776183765022487372116607709  )-( .18082300688832890010580439799931826  ),   .18082300688832890010580439799931826  , 1.  -( .04838811776183765022487372116607709  )-( .18082300688832890010580439799931826  ), .04838811776183765022487372116607709  ,   1.  -( .04838811776183765022487372116607709  )-( .18082300688832890010580439799931826  ), .04838811776183765022487372116607709  , .18082300688832890010580439799931826  ,   1.  -( .04838811776183765022487372116607709  )-( .18082300688832890010580439799931826  ), .18082300688832890010580439799931826  , .04838811776183765022487372116607709  ,
     .02749143585326034673258117826660649  , .28194341507949187524318191991162303  , 1.  -( .02749143585326034673258117826660649  )-( .28194341507949187524318191991162303  ),   .02749143585326034673258117826660649  , 1.  -( .02749143585326034673258117826660649  )-( .28194341507949187524318191991162303  ), .28194341507949187524318191991162303  ,   .28194341507949187524318191991162303  , .02749143585326034673258117826660649  , 1.  -( .02749143585326034673258117826660649  )-( .28194341507949187524318191991162303  ),   .28194341507949187524318191991162303  , 1.  -( .02749143585326034673258117826660649  )-( .28194341507949187524318191991162303  ), .02749143585326034673258117826660649  ,   1.  -( .02749143585326034673258117826660649  )-( .28194341507949187524318191991162303  ), .02749143585326034673258117826660649  , .28194341507949187524318191991162303  ,   1.  -( .02749143585326034673258117826660649  )-( .28194341507949187524318191991162303  ), .28194341507949187524318191991162303  , .02749143585326034673258117826660649  ,
     .06713397444770439007586079560898384  , .35071285339799134366628146898304461  , 1.  -( .06713397444770439007586079560898384  )-( .35071285339799134366628146898304461  ),   .06713397444770439007586079560898384  , 1.  -( .06713397444770439007586079560898384  )-( .35071285339799134366628146898304461  ), .35071285339799134366628146898304461  ,   .35071285339799134366628146898304461  , .06713397444770439007586079560898384  , 1.  -( .06713397444770439007586079560898384  )-( .35071285339799134366628146898304461  ),   .35071285339799134366628146898304461  , 1.  -( .06713397444770439007586079560898384  )-( .35071285339799134366628146898304461  ), .06713397444770439007586079560898384  ,   1.  -( .06713397444770439007586079560898384  )-( .35071285339799134366628146898304461  ), .06713397444770439007586079560898384  , .35071285339799134366628146898304461  ,   1.  -( .06713397444770439007586079560898384  )-( .35071285339799134366628146898304461  ), .35071285339799134366628146898304461  , .06713397444770439007586079560898384  ,
     .09670430361686034561495436311127678  , .23017640440360132139166340852745074  , 1.  -( .09670430361686034561495436311127678  )-( .23017640440360132139166340852745074  ),   .09670430361686034561495436311127678  , 1.  -( .09670430361686034561495436311127678  )-( .23017640440360132139166340852745074  ), .23017640440360132139166340852745074  ,   .23017640440360132139166340852745074  , .09670430361686034561495436311127678  , 1.  -( .09670430361686034561495436311127678  )-( .23017640440360132139166340852745074  ),   .23017640440360132139166340852745074  , 1.  -( .09670430361686034561495436311127678  )-( .23017640440360132139166340852745074  ), .09670430361686034561495436311127678  ,   1.  -( .09670430361686034561495436311127678  )-( .23017640440360132139166340852745074  ), .09670430361686034561495436311127678  , .23017640440360132139166340852745074  ,   1.  -( .09670430361686034561495436311127678  )-( .23017640440360132139166340852745074  ), .23017640440360132139166340852745074  , .09670430361686034561495436311127678  ,
     .15193045482670229286438888320778608  , .31159323586348644974639923203001594  , 1.  -( .15193045482670229286438888320778608  )-( .31159323586348644974639923203001594  ),   .15193045482670229286438888320778608  , 1.  -( .15193045482670229286438888320778608  )-( .31159323586348644974639923203001594  ), .31159323586348644974639923203001594  ,   .31159323586348644974639923203001594  , .15193045482670229286438888320778608  , 1.  -( .15193045482670229286438888320778608  )-( .31159323586348644974639923203001594  ),   .31159323586348644974639923203001594  , 1.  -( .15193045482670229286438888320778608  )-( .31159323586348644974639923203001594  ), .15193045482670229286438888320778608  ,   1.  -( .15193045482670229286438888320778608  )-( .31159323586348644974639923203001594  ), .15193045482670229286438888320778608  , .31159323586348644974639923203001594  ,   1.  -( .15193045482670229286438888320778608  )-( .31159323586348644974639923203001594  ), .31159323586348644974639923203001594  , .15193045482670229286438888320778608  
}

Definition at line 1142 of file quad.c.

                                                             {
    Perm21(.00722823551590805269240186985118743),
    Perm21(.49971491656223188463531154910591767),
    Perm21(.04195252727280408802705553682804348),
    Perm21(.31413219152050094565940577630042994),
    Perm21(.48001365161711654879356466888729030),
    Perm21(.12308745423016114898448687333895172),
    Perm21(.44571963043911530549256371899531770),
    Perm21(.18986241218389367642303052024426076),
    Perm21(.26033923338175577283598939801891875),
    Perm21(.39636684767162598240715439210378845),
    Perm111(.00773958468860307799587341381217818,.03910016782732837999359532547054414),
    Perm111(.00057706413021840388680988197995853,.29956301031600608000000000000000000),
    Perm111(.00979577185352314036856347829609728,.09916758085225246952608204467401148),
    Perm111(.00918868020649896490029828421437019,.18619068155280570806618576756346898),
    Perm111(.01346708756840181797029316077776570,.40293889185510044331704310704540997),
    Perm111(.05062631246733689522786952921020785,.10358808540929187702277517444504398),
    Perm111(.04838811776183765022487372116607709,.18082300688832890010580439799931826),
    Perm111(.02749143585326034673258117826660649,.28194341507949187524318191991162303),
    Perm111(.06713397444770439007586079560898384,.35071285339799134366628146898304461),
    Perm111(.09670430361686034561495436311127678,.23017640440360132139166340852745074),
    Perm111(.15193045482670229286438888320778608,.31159323586348644974639923203001594)
};

QUAD_2D_P22_wts

double QUAD_2D_P22_wts[]

static

Initial value:

= {
     .00069714569625074030369942481362133  , .00069714569625074030369942481362133  , .00069714569625074030369942481362133  ,
     .00173365376198036236244040089465219  , .00173365376198036236244040089465219  , .00173365376198036236244040089465219  ,
     .00466131304304557368006266059260170  , .00466131304304557368006266059260170  , .00466131304304557368006266059260170  ,
     .01158457676559956471190194225470023  , .01158457676559956471190194225470023  , .01158457676559956471190194225470023  ,
     .01187897403302190998142733919159934  , .01187897403302190998142733919159934  , .01187897403302190998142733919159934  ,
     .01533880365566670016085333491517060  , .01533880365566670016085333491517060  , .01533880365566670016085333491517060  ,
     .01971637694027233703178135471037246  , .01971637694027233703178135471037246  , .01971637694027233703178135471037246  ,
     .02057215149173475351932757540044250  , .02057215149173475351932757540044250  , .02057215149173475351932757540044250  ,
     .02384066027813703919931347525917147  , .02384066027813703919931347525917147  , .02384066027813703919931347525917147  ,
     .02446119708987487225534932817494781  , .02446119708987487225534932817494781  , .02446119708987487225534932817494781  ,
     .00182862802731120927204804019418561  , .00182862802731120927204804019418561  , .00182862802731120927204804019418561  , .00182862802731120927204804019418561  , .00182862802731120927204804019418561  , .00182862802731120927204804019418561  ,
     .00188044970396283839898767788993490  , .00188044970396283839898767788993490  , .00188044970396283839898767788993490  , .00188044970396283839898767788993490  , .00188044970396283839898767788993490  , .00188044970396283839898767788993490  ,
     .00370410864001110188501003141229496  , .00370410864001110188501003141229496  , .00370410864001110188501003141229496  , .00370410864001110188501003141229496  , .00370410864001110188501003141229496  , .00370410864001110188501003141229496  ,
     .00466834037183480579057625840302880  , .00466834037183480579057625840302880  , .00466834037183480579057625840302880  , .00466834037183480579057625840302880  , .00466834037183480579057625840302880  , .00466834037183480579057625840302880  ,
     .00721134117192958564362665357306283  , .00721134117192958564362665357306283  , .00721134117192958564362665357306283  , .00721134117192958564362665357306283  , .00721134117192958564362665357306283  , .00721134117192958564362665357306283  ,
     .00796743335988734266364119940269571  , .00796743335988734266364119940269571  , .00796743335988734266364119940269571  , .00796743335988734266364119940269571  , .00796743335988734266364119940269571  , .00796743335988734266364119940269571  ,
     .00903580036943713630598503580960509  , .00903580036943713630598503580960509  , .00903580036943713630598503580960509  , .00903580036943713630598503580960509  , .00903580036943713630598503580960509  , .00903580036943713630598503580960509  ,
     .00948064111155901466263790694355664  , .00948064111155901466263790694355664  , .00948064111155901466263790694355664  , .00948064111155901466263790694355664  , .00948064111155901466263790694355664  , .00948064111155901466263790694355664  ,
     .01561737012835320857159572546229795  , .01561737012835320857159572546229795  , .01561737012835320857159572546229795  , .01561737012835320857159572546229795  , .01561737012835320857159572546229795  , .01561737012835320857159572546229795  ,
     .01624531918105698418898193939757981  , .01624531918105698418898193939757981  , .01624531918105698418898193939757981  , .01624531918105698418898193939757981  , .01624531918105698418898193939757981  , .01624531918105698418898193939757981  ,
     .02178480822353151268049778007478454  , .02178480822353151268049778007478454  , .02178480822353151268049778007478454  , .02178480822353151268049778007478454  , .02178480822353151268049778007478454  , .02178480822353151268049778007478454  
}

Definition at line 1119 of file quad.c.

                                  {
    Dup21(.00069714569625074030369942481362133),
    Dup21(.00173365376198036236244040089465219),
    Dup21(.00466131304304557368006266059260170),
    Dup21(.01158457676559956471190194225470023),
    Dup21(.01187897403302190998142733919159934),
    Dup21(.01533880365566670016085333491517060),
    Dup21(.01971637694027233703178135471037246),
    Dup21(.02057215149173475351932757540044250),
    Dup21(.02384066027813703919931347525917147),
    Dup21(.02446119708987487225534932817494781),
    Dup111(.00182862802731120927204804019418561),
    Dup111(.00188044970396283839898767788993490),
    Dup111(.00370410864001110188501003141229496),
    Dup111(.00466834037183480579057625840302880),
    Dup111(.00721134117192958564362665357306283),
    Dup111(.00796743335988734266364119940269571),
    Dup111(.00903580036943713630598503580960509),
    Dup111(.00948064111155901466263790694355664),
    Dup111(.01561737012835320857159572546229795),
    Dup111(.01624531918105698418898193939757981),
    Dup111(.02178480822353151268049778007478454)
};

QUAD_2D_P23_

QUAD QUAD_2D_P23_

Initial value:

= {
    "2D P23",           
    2,              
    23,             
     (sizeof(QUAD_2D_P23_wts) / (sizeof(QUAD_2D_P23_wts[0]))) , 
    QUAD_2D_P23_pts,        
    QUAD_2D_P23_wts,        
    -1              
}

Definition at line 1228 of file quad.c.

                    {
    "2D P23",           /* name */
    2,              /* dim */
    23,             /* order */
    Length(QUAD_2D_P23_wts),    /* npoints = 102 */
    QUAD_2D_P23_pts,        /* points */
    QUAD_2D_P23_wts,        /* weights */
    -1              /* id */
};

QUAD_2D_P23_pts

double QUAD_2D_P23_pts[(sizeof(QUAD_2D_P23_wts)/(sizeof(QUAD_2D_P23_wts[0]))) *3]

static

Initial value:

= {
     1.  -( .00884309098564000781144468419871075  )-( .00884309098564000781144468419871075  ), .00884309098564000781144468419871075  , .00884309098564000781144468419871075  ,   .00884309098564000781144468419871075  , 1.  -( .00884309098564000781144468419871075  )-( .00884309098564000781144468419871075  ), .00884309098564000781144468419871075  ,   .00884309098564000781144468419871075  , .00884309098564000781144468419871075  , 1.  -( .00884309098564000781144468419871075  )-( .00884309098564000781144468419871075  ),
     1.  -( .49904231799536473576318688106778703  )-( .49904231799536473576318688106778703  ), .49904231799536473576318688106778703  , .49904231799536473576318688106778703  ,   .49904231799536473576318688106778703  , 1.  -( .49904231799536473576318688106778703  )-( .49904231799536473576318688106778703  ), .49904231799536473576318688106778703  ,   .49904231799536473576318688106778703  , .49904231799536473576318688106778703  , 1.  -( .49904231799536473576318688106778703  )-( .49904231799536473576318688106778703  ),
     1.  -( .04191849463192120115455956274854522  )-( .04191849463192120115455956274854522  ), .04191849463192120115455956274854522  , .04191849463192120115455956274854522  ,   .04191849463192120115455956274854522  , 1.  -( .04191849463192120115455956274854522  )-( .04191849463192120115455956274854522  ), .04191849463192120115455956274854522  ,   .04191849463192120115455956274854522  , .04191849463192120115455956274854522  , 1.  -( .04191849463192120115455956274854522  )-( .04191849463192120115455956274854522  ),
     1.  -( .08384395940074188671519383182016759  )-( .08384395940074188671519383182016759  ), .08384395940074188671519383182016759  , .08384395940074188671519383182016759  ,   .08384395940074188671519383182016759  , 1.  -( .08384395940074188671519383182016759  )-( .08384395940074188671519383182016759  ), .08384395940074188671519383182016759  ,   .08384395940074188671519383182016759  , .08384395940074188671519383182016759  , 1.  -( .08384395940074188671519383182016759  )-( .08384395940074188671519383182016759  ),
     1.  -( .35156602225687808437472423305189879  )-( .35156602225687808437472423305189879  ), .35156602225687808437472423305189879  , .35156602225687808437472423305189879  ,   .35156602225687808437472423305189879  , 1.  -( .35156602225687808437472423305189879  )-( .35156602225687808437472423305189879  ), .35156602225687808437472423305189879  ,   .35156602225687808437472423305189879  , .35156602225687808437472423305189879  , 1.  -( .35156602225687808437472423305189879  )-( .35156602225687808437472423305189879  ),
     1.  -( .48142250008209757218970635991224348  )-( .48142250008209757218970635991224348  ), .48142250008209757218970635991224348  , .48142250008209757218970635991224348  ,   .48142250008209757218970635991224348  , 1.  -( .48142250008209757218970635991224348  )-( .48142250008209757218970635991224348  ), .48142250008209757218970635991224348  ,   .48142250008209757218970635991224348  , .48142250008209757218970635991224348  , 1.  -( .48142250008209757218970635991224348  )-( .48142250008209757218970635991224348  ),
     1.  -( .13603683917665686011746620285416514  )-( .13603683917665686011746620285416514  ), .13603683917665686011746620285416514  , .13603683917665686011746620285416514  ,   .13603683917665686011746620285416514  , 1.  -( .13603683917665686011746620285416514  )-( .13603683917665686011746620285416514  ), .13603683917665686011746620285416514  ,   .13603683917665686011746620285416514  , .13603683917665686011746620285416514  , 1.  -( .13603683917665686011746620285416514  )-( .13603683917665686011746620285416514  ),
     1.  -( .44588621023292908434421744174344724  )-( .44588621023292908434421744174344724  ), .44588621023292908434421744174344724  , .44588621023292908434421744174344724  ,   .44588621023292908434421744174344724  , 1.  -( .44588621023292908434421744174344724  )-( .44588621023292908434421744174344724  ), .44588621023292908434421744174344724  ,   .44588621023292908434421744174344724  , .44588621023292908434421744174344724  , 1.  -( .44588621023292908434421744174344724  )-( .44588621023292908434421744174344724  ),
     1.  -( .19833791969077397732302473244075886  )-( .19833791969077397732302473244075886  ), .19833791969077397732302473244075886  , .19833791969077397732302473244075886  ,   .19833791969077397732302473244075886  , 1.  -( .19833791969077397732302473244075886  )-( .19833791969077397732302473244075886  ), .19833791969077397732302473244075886  ,   .19833791969077397732302473244075886  , .19833791969077397732302473244075886  , 1.  -( .19833791969077397732302473244075886  )-( .19833791969077397732302473244075886  ),
     1.  -( .39764873352592070572902821621712745  )-( .39764873352592070572902821621712745  ), .39764873352592070572902821621712745  , .39764873352592070572902821621712745  ,   .39764873352592070572902821621712745  , 1.  -( .39764873352592070572902821621712745  )-( .39764873352592070572902821621712745  ), .39764873352592070572902821621712745  ,   .39764873352592070572902821621712745  , .39764873352592070572902821621712745  , 1.  -( .39764873352592070572902821621712745  )-( .39764873352592070572902821621712745  ),
     .00215375088982479143593969096276917  , .11147822164436514858831541609060182  , 1.  -( .00215375088982479143593969096276917  )-( .11147822164436514858831541609060182  ),   .00215375088982479143593969096276917  , 1.  -( .00215375088982479143593969096276917  )-( .11147822164436514858831541609060182  ), .11147822164436514858831541609060182  ,   .11147822164436514858831541609060182  , .00215375088982479143593969096276917  , 1.  -( .00215375088982479143593969096276917  )-( .11147822164436514858831541609060182  ),   .11147822164436514858831541609060182  , 1.  -( .00215375088982479143593969096276917  )-( .11147822164436514858831541609060182  ), .00215375088982479143593969096276917  ,   1.  -( .00215375088982479143593969096276917  )-( .11147822164436514858831541609060182  ), .00215375088982479143593969096276917  , .11147822164436514858831541609060182  ,   1.  -( .00215375088982479143593969096276917  )-( .11147822164436514858831541609060182  ), .11147822164436514858831541609060182  , .00215375088982479143593969096276917  ,
     .00797567048343379974299672675667051  , .04599876191192738898335879375393121  , 1.  -( .00797567048343379974299672675667051  )-( .04599876191192738898335879375393121  ),   .00797567048343379974299672675667051  , 1.  -( .00797567048343379974299672675667051  )-( .04599876191192738898335879375393121  ), .04599876191192738898335879375393121  ,   .04599876191192738898335879375393121  , .00797567048343379974299672675667051  , 1.  -( .00797567048343379974299672675667051  )-( .04599876191192738898335879375393121  ),   .04599876191192738898335879375393121  , 1.  -( .00797567048343379974299672675667051  )-( .04599876191192738898335879375393121  ), .00797567048343379974299672675667051  ,   1.  -( .00797567048343379974299672675667051  )-( .04599876191192738898335879375393121  ), .00797567048343379974299672675667051  , .04599876191192738898335879375393121  ,   1.  -( .00797567048343379974299672675667051  )-( .04599876191192738898335879375393121  ), .04599876191192738898335879375393121  , .00797567048343379974299672675667051  ,
     .00222521306870228962165445623994274  , .29991704500621364115075519706889153  , 1.  -( .00222521306870228962165445623994274  )-( .29991704500621364115075519706889153  ),   .00222521306870228962165445623994274  , 1.  -( .00222521306870228962165445623994274  )-( .29991704500621364115075519706889153  ), .29991704500621364115075519706889153  ,   .29991704500621364115075519706889153  , .00222521306870228962165445623994274  , 1.  -( .00222521306870228962165445623994274  )-( .29991704500621364115075519706889153  ),   .29991704500621364115075519706889153  , 1.  -( .00222521306870228962165445623994274  )-( .29991704500621364115075519706889153  ), .00222521306870228962165445623994274  ,   1.  -( .00222521306870228962165445623994274  )-( .29991704500621364115075519706889153  ), .00222521306870228962165445623994274  , .29991704500621364115075519706889153  ,   1.  -( .00222521306870228962165445623994274  )-( .29991704500621364115075519706889153  ), .29991704500621364115075519706889153  , .00222521306870228962165445623994274  ,
     .01056799023421332981938693231799616  , .19450617255148173513923298602622080  , 1.  -( .01056799023421332981938693231799616  )-( .19450617255148173513923298602622080  ),   .01056799023421332981938693231799616  , 1.  -( .01056799023421332981938693231799616  )-( .19450617255148173513923298602622080  ), .19450617255148173513923298602622080  ,   .19450617255148173513923298602622080  , .01056799023421332981938693231799616  , 1.  -( .01056799023421332981938693231799616  )-( .19450617255148173513923298602622080  ),   .19450617255148173513923298602622080  , 1.  -( .01056799023421332981938693231799616  )-( .19450617255148173513923298602622080  ), .01056799023421332981938693231799616  ,   1.  -( .01056799023421332981938693231799616  )-( .19450617255148173513923298602622080  ), .01056799023421332981938693231799616  , .19450617255148173513923298602622080  ,   1.  -( .01056799023421332981938693231799616  )-( .19450617255148173513923298602622080  ), .19450617255148173513923298602622080  , .01056799023421332981938693231799616  ,
     .02639015796005238716769753666365164  , .10487601375183195540194359053325350  , 1.  -( .02639015796005238716769753666365164  )-( .10487601375183195540194359053325350  ),   .02639015796005238716769753666365164  , 1.  -( .02639015796005238716769753666365164  )-( .10487601375183195540194359053325350  ), .10487601375183195540194359053325350  ,   .10487601375183195540194359053325350  , .02639015796005238716769753666365164  , 1.  -( .02639015796005238716769753666365164  )-( .10487601375183195540194359053325350  ),   .10487601375183195540194359053325350  , 1.  -( .02639015796005238716769753666365164  )-( .10487601375183195540194359053325350  ), .02639015796005238716769753666365164  ,   1.  -( .02639015796005238716769753666365164  )-( .10487601375183195540194359053325350  ), .02639015796005238716769753666365164  , .10487601375183195540194359053325350  ,   1.  -( .02639015796005238716769753666365164  )-( .10487601375183195540194359053325350  ), .10487601375183195540194359053325350  , .02639015796005238716769753666365164  ,
     .01372661478891633442412470482374058  , .39359274155812221677807114606384301  , 1.  -( .01372661478891633442412470482374058  )-( .39359274155812221677807114606384301  ),   .01372661478891633442412470482374058  , 1.  -( .01372661478891633442412470482374058  )-( .39359274155812221677807114606384301  ), .39359274155812221677807114606384301  ,   .39359274155812221677807114606384301  , .01372661478891633442412470482374058  , 1.  -( .01372661478891633442412470482374058  )-( .39359274155812221677807114606384301  ),   .39359274155812221677807114606384301  , 1.  -( .01372661478891633442412470482374058  )-( .39359274155812221677807114606384301  ), .01372661478891633442412470482374058  ,   1.  -( .01372661478891633442412470482374058  )-( .39359274155812221677807114606384301  ), .01372661478891633442412470482374058  , .39359274155812221677807114606384301  ,   1.  -( .01372661478891633442412470482374058  )-( .39359274155812221677807114606384301  ), .39359274155812221677807114606384301  , .01372661478891633442412470482374058  ,
     .03293167071711912354883994110324428  , .27745010154284908600010796990105572  , 1.  -( .03293167071711912354883994110324428  )-( .27745010154284908600010796990105572  ),   .03293167071711912354883994110324428  , 1.  -( .03293167071711912354883994110324428  )-( .27745010154284908600010796990105572  ), .27745010154284908600010796990105572  ,   .27745010154284908600010796990105572  , .03293167071711912354883994110324428  , 1.  -( .03293167071711912354883994110324428  )-( .27745010154284908600010796990105572  ),   .27745010154284908600010796990105572  , 1.  -( .03293167071711912354883994110324428  )-( .27745010154284908600010796990105572  ), .03293167071711912354883994110324428  ,   1.  -( .03293167071711912354883994110324428  )-( .27745010154284908600010796990105572  ), .03293167071711912354883994110324428  , .27745010154284908600010796990105572  ,   1.  -( .03293167071711912354883994110324428  )-( .27745010154284908600010796990105572  ), .27745010154284908600010796990105572  , .03293167071711912354883994110324428  ,
     .05645836928678800749584878194121292  , .17041930960722382214358721748321713  , 1.  -( .05645836928678800749584878194121292  )-( .17041930960722382214358721748321713  ),   .05645836928678800749584878194121292  , 1.  -( .05645836928678800749584878194121292  )-( .17041930960722382214358721748321713  ), .17041930960722382214358721748321713  ,   .17041930960722382214358721748321713  , .05645836928678800749584878194121292  , 1.  -( .05645836928678800749584878194121292  )-( .17041930960722382214358721748321713  ),   .17041930960722382214358721748321713  , 1.  -( .05645836928678800749584878194121292  )-( .17041930960722382214358721748321713  ), .05645836928678800749584878194121292  ,   1.  -( .05645836928678800749584878194121292  )-( .17041930960722382214358721748321713  ), .05645836928678800749584878194121292  , .17041930960722382214358721748321713  ,   1.  -( .05645836928678800749584878194121292  )-( .17041930960722382214358721748321713  ), .17041930960722382214358721748321713  , .05645836928678800749584878194121292  ,
     .24905869950604636107649169253437782  , .28048464594062623291197233102900262  , 1.  -( .24905869950604636107649169253437782  )-( .28048464594062623291197233102900262  ),   .24905869950604636107649169253437782  , 1.  -( .24905869950604636107649169253437782  )-( .28048464594062623291197233102900262  ), .28048464594062623291197233102900262  ,   .28048464594062623291197233102900262  , .24905869950604636107649169253437782  , 1.  -( .24905869950604636107649169253437782  )-( .28048464594062623291197233102900262  ),   .28048464594062623291197233102900262  , 1.  -( .24905869950604636107649169253437782  )-( .28048464594062623291197233102900262  ), .24905869950604636107649169253437782  ,   1.  -( .24905869950604636107649169253437782  )-( .28048464594062623291197233102900262  ), .24905869950604636107649169253437782  , .28048464594062623291197233102900262  ,   1.  -( .24905869950604636107649169253437782  )-( .28048464594062623291197233102900262  ), .28048464594062623291197233102900262  , .24905869950604636107649169253437782  ,
     .06710022884559872615982757386133093  , .35940684385217631018244572992741760  , 1.  -( .06710022884559872615982757386133093  )-( .35940684385217631018244572992741760  ),   .06710022884559872615982757386133093  , 1.  -( .06710022884559872615982757386133093  )-( .35940684385217631018244572992741760  ), .35940684385217631018244572992741760  ,   .35940684385217631018244572992741760  , .06710022884559872615982757386133093  , 1.  -( .06710022884559872615982757386133093  )-( .35940684385217631018244572992741760  ),   .35940684385217631018244572992741760  , 1.  -( .06710022884559872615982757386133093  )-( .35940684385217631018244572992741760  ), .06710022884559872615982757386133093  ,   1.  -( .06710022884559872615982757386133093  )-( .35940684385217631018244572992741760  ), .06710022884559872615982757386133093  , .35940684385217631018244572992741760  ,   1.  -( .06710022884559872615982757386133093  )-( .35940684385217631018244572992741760  ), .35940684385217631018244572992741760  , .06710022884559872615982757386133093  ,
     .10095848404745636455551318905522403  , .23967897332407877845308433492438781  , 1.  -( .10095848404745636455551318905522403  )-( .23967897332407877845308433492438781  ),   .10095848404745636455551318905522403  , 1.  -( .10095848404745636455551318905522403  )-( .23967897332407877845308433492438781  ), .23967897332407877845308433492438781  ,   .23967897332407877845308433492438781  , .10095848404745636455551318905522403  , 1.  -( .10095848404745636455551318905522403  )-( .23967897332407877845308433492438781  ),   .23967897332407877845308433492438781  , 1.  -( .10095848404745636455551318905522403  )-( .23967897332407877845308433492438781  ), .10095848404745636455551318905522403  ,   1.  -( .10095848404745636455551318905522403  )-( .23967897332407877845308433492438781  ), .10095848404745636455551318905522403  , .23967897332407877845308433492438781  ,   1.  -( .10095848404745636455551318905522403  )-( .23967897332407877845308433492438781  ), .23967897332407877845308433492438781  , .10095848404745636455551318905522403  ,
     .15208140311691476836002821658866124  , .31660538238914823066544783358734965  , 1.  -( .15208140311691476836002821658866124  )-( .31660538238914823066544783358734965  ),   .15208140311691476836002821658866124  , 1.  -( .15208140311691476836002821658866124  )-( .31660538238914823066544783358734965  ), .31660538238914823066544783358734965  ,   .31660538238914823066544783358734965  , .15208140311691476836002821658866124  , 1.  -( .15208140311691476836002821658866124  )-( .31660538238914823066544783358734965  ),   .31660538238914823066544783358734965  , 1.  -( .15208140311691476836002821658866124  )-( .31660538238914823066544783358734965  ), .15208140311691476836002821658866124  ,   1.  -( .15208140311691476836002821658866124  )-( .31660538238914823066544783358734965  ), .15208140311691476836002821658866124  , .31660538238914823066544783358734965  ,   1.  -( .15208140311691476836002821658866124  )-( .31660538238914823066544783358734965  ), .31660538238914823066544783358734965  , .15208140311691476836002821658866124  
}

Definition at line 1204 of file quad.c.

                                                             {
    Perm21(.00884309098564000781144468419871075),
    Perm21(.49904231799536473576318688106778703),
    Perm21(.04191849463192120115455956274854522),
    Perm21(.08384395940074188671519383182016759),
    Perm21(.35156602225687808437472423305189879),
    Perm21(.48142250008209757218970635991224348),
    Perm21(.13603683917665686011746620285416514),
    Perm21(.44588621023292908434421744174344724),
    Perm21(.19833791969077397732302473244075886),
    Perm21(.39764873352592070572902821621712745),
    Perm111(.00215375088982479143593969096276917,.11147822164436514858831541609060182),
    Perm111(.00797567048343379974299672675667051,.04599876191192738898335879375393121),
    Perm111(.00222521306870228962165445623994274,.29991704500621364115075519706889153),
    Perm111(.01056799023421332981938693231799616,.19450617255148173513923298602622080),
    Perm111(.02639015796005238716769753666365164,.10487601375183195540194359053325350),
    Perm111(.01372661478891633442412470482374058,.39359274155812221677807114606384301),
    Perm111(.03293167071711912354883994110324428,.27745010154284908600010796990105572),
    Perm111(.05645836928678800749584878194121292,.17041930960722382214358721748321713),
    Perm111(.24905869950604636107649169253437782,.28048464594062623291197233102900262),
    Perm111(.06710022884559872615982757386133093,.35940684385217631018244572992741760),
    Perm111(.10095848404745636455551318905522403,.23967897332407877845308433492438781),
    Perm111(.15208140311691476836002821658866124,.31660538238914823066544783358734965)
};

QUAD_2D_P23_wts

double QUAD_2D_P23_wts[]

static

Initial value:

= {
     .00102338493393064825880875292048368  , .00102338493393064825880875292048368  , .00102338493393064825880875292048368  ,
     .00234953285611607429820752203919566  , .00234953285611607429820752203919566  , .00234953285611607429820752203919566  ,
     .00442272294831746458300712854673892  , .00442272294831746458300712854673892  , .00442272294831746458300712854673892  ,
     .00935939493458907159588059346569364  , .00935939493458907159588059346569364  , .00935939493458907159588059346569364  ,
     .01122330490795551618339838001860665  , .01122330490795551618339838001860665  , .01122330490795551618339838001860665  ,
     .01145539386071866483451404196187953  , .01145539386071866483451404196187953  , .01145539386071866483451404196187953  ,
     .01485152819027043031788493609445202  , .01485152819027043031788493609445202  , .01485152819027043031788493609445202  ,
     .01873399097752303244589658710992199  , .01873399097752303244589658710992199  , .01873399097752303244589658710992199  ,
     .02009544889817501015648393973138171  , .02009544889817501015648393973138171  , .02009544889817501015648393973138171  ,
     .02186952160246302231865049077371942  , .02186952160246302231865049077371942  , .02186952160246302231865049077371942  ,
     .00139037413890586280792572004623041  , .00139037413890586280792572004623041  , .00139037413890586280792572004623041  , .00139037413890586280792572004623041  , .00139037413890586280792572004623041  , .00139037413890586280792572004623041  ,
     .00209361317170022977809045175923150  , .00209361317170022977809045175923150  , .00209361317170022977809045175923150  , .00209361317170022977809045175923150  , .00209361317170022977809045175923150  , .00209361317170022977809045175923150  ,
     .00226272789116058493926098904342501  , .00226272789116058493926098904342501  , .00226272789116058493926098904342501  , .00226272789116058493926098904342501  , .00226272789116058493926098904342501  , .00226272789116058493926098904342501  ,
     .00509887607853182356576648513174798  , .00509887607853182356576648513174798  , .00509887607853182356576648513174798  , .00509887607853182356576648513174798  , .00509887607853182356576648513174798  , .00509887607853182356576648513174798  ,
     .00580279248634163562097040517303610  , .00580279248634163562097040517303610  , .00580279248634163562097040517303610  , .00580279248634163562097040517303610  , .00580279248634163562097040517303610  , .00580279248634163562097040517303610  ,
     .00699047412016323154662825915726588  , .00699047412016323154662825915726588  , .00699047412016323154662825915726588  , .00699047412016323154662825915726588  , .00699047412016323154662825915726588  , .00699047412016323154662825915726588  ,
     .01010544741268549508636466193618720  , .01010544741268549508636466193618720  , .01010544741268549508636466193618720  , .01010544741268549508636466193618720  , .01010544741268549508636466193618720  , .01010544741268549508636466193618720  ,
     .01094068682011104235992829469791130  , .01094068682011104235992829469791130  , .01094068682011104235992829469791130  , .01094068682011104235992829469791130  , .01094068682011104235992829469791130  , .01094068682011104235992829469791130  ,
     .01269774746720014444245594705387966  , .01269774746720014444245594705387966  , .01269774746720014444245594705387966  , .01269774746720014444245594705387966  , .01269774746720014444245594705387966  , .01269774746720014444245594705387966  ,
     .01493690521473593308948584780344384  , .01493690521473593308948584780344384  , .01493690521473593308948584780344384  , .01493690521473593308948584780344384  , .01493690521473593308948584780344384  , .01493690521473593308948584780344384  ,
     .01624594488896314707519973030797813  , .01624594488896314707519973030797813  , .01624594488896314707519973030797813  , .01624594488896314707519973030797813  , .01624594488896314707519973030797813  , .01624594488896314707519973030797813  ,
     .02040896492113806885822368822529305  , .02040896492113806885822368822529305  , .02040896492113806885822368822529305  , .02040896492113806885822368822529305  , .02040896492113806885822368822529305  , .02040896492113806885822368822529305  
}

Definition at line 1180 of file quad.c.

                                  {
    Dup21(.00102338493393064825880875292048368),
    Dup21(.00234953285611607429820752203919566),
    Dup21(.00442272294831746458300712854673892),
    Dup21(.00935939493458907159588059346569364),
    Dup21(.01122330490795551618339838001860665),
    Dup21(.01145539386071866483451404196187953),
    Dup21(.01485152819027043031788493609445202),
    Dup21(.01873399097752303244589658710992199),
    Dup21(.02009544889817501015648393973138171),
    Dup21(.02186952160246302231865049077371942),
    Dup111(.00139037413890586280792572004623041),
    Dup111(.00209361317170022977809045175923150),
    Dup111(.00226272789116058493926098904342501),
    Dup111(.00509887607853182356576648513174798),
    Dup111(.00580279248634163562097040517303610),
    Dup111(.00699047412016323154662825915726588),
    Dup111(.01010544741268549508636466193618720),
    Dup111(.01094068682011104235992829469791130),
    Dup111(.01269774746720014444245594705387966),
    Dup111(.01493690521473593308948584780344384),
    Dup111(.01624594488896314707519973030797813),
    Dup111(.02040896492113806885822368822529305)
};

QUAD_2D_P24_

QUAD QUAD_2D_P24_

Initial value:

= {
    "2D P24",           
    2,              
    24,             
     (sizeof(QUAD_2D_P24_wts) / (sizeof(QUAD_2D_P24_wts[0]))) , 
    QUAD_2D_P24_pts,        
    QUAD_2D_P24_wts,        
    -1              
}

Definition at line 1295 of file quad.c.

                    {
    "2D P24",           /* name */
    2,              /* dim */
    24,             /* order */
    Length(QUAD_2D_P24_wts),    /* npoints = 112 */
    QUAD_2D_P24_pts,        /* points */
    QUAD_2D_P24_wts,        /* weights */
    -1              /* id */
};

QUAD_2D_P24_pts

double QUAD_2D_P24_pts[(sizeof(QUAD_2D_P24_wts)/(sizeof(QUAD_2D_P24_wts[0]))) *3]

static

Initial value:

= {
     1.  / 3.  , 1.  / 3.  , 1.  / 3.  ,
     1.  -( .00764481587209140357148961957868539  )-( .00764481587209140357148961957868539  ), .00764481587209140357148961957868539  , .00764481587209140357148961957868539  ,   .00764481587209140357148961957868539  , 1.  -( .00764481587209140357148961957868539  )-( .00764481587209140357148961957868539  ), .00764481587209140357148961957868539  ,   .00764481587209140357148961957868539  , .00764481587209140357148961957868539  , 1.  -( .00764481587209140357148961957868539  )-( .00764481587209140357148961957868539  ),
     1.  -( .49512326693489419346010327445636948  )-( .49512326693489419346010327445636948  ), .49512326693489419346010327445636948  , .49512326693489419346010327445636948  ,   .49512326693489419346010327445636948  , 1.  -( .49512326693489419346010327445636948  )-( .49512326693489419346010327445636948  ), .49512326693489419346010327445636948  ,   .49512326693489419346010327445636948  , .49512326693489419346010327445636948  , 1.  -( .49512326693489419346010327445636948  )-( .49512326693489419346010327445636948  ),
     1.  -( .08533571470774055253577908615445653  )-( .08533571470774055253577908615445653  ), .08533571470774055253577908615445653  , .08533571470774055253577908615445653  ,   .08533571470774055253577908615445653  , 1.  -( .08533571470774055253577908615445653  )-( .08533571470774055253577908615445653  ), .08533571470774055253577908615445653  ,   .08533571470774055253577908615445653  , .08533571470774055253577908615445653  , 1.  -( .08533571470774055253577908615445653  )-( .08533571470774055253577908615445653  ),
     1.  -( .47540435757943002732921306991884855  )-( .47540435757943002732921306991884855  ), .47540435757943002732921306991884855  , .47540435757943002732921306991884855  ,   .47540435757943002732921306991884855  , 1.  -( .47540435757943002732921306991884855  )-( .47540435757943002732921306991884855  ), .47540435757943002732921306991884855  ,   .47540435757943002732921306991884855  , .47540435757943002732921306991884855  , 1.  -( .47540435757943002732921306991884855  )-( .47540435757943002732921306991884855  ),
     1.  -( .14361312600254966163076940146917127  )-( .14361312600254966163076940146917127  ), .14361312600254966163076940146917127  , .14361312600254966163076940146917127  ,   .14361312600254966163076940146917127  , 1.  -( .14361312600254966163076940146917127  )-( .14361312600254966163076940146917127  ), .14361312600254966163076940146917127  ,   .14361312600254966163076940146917127  , .14361312600254966163076940146917127  , 1.  -( .14361312600254966163076940146917127  )-( .14361312600254966163076940146917127  ),
     1.  -( .44000137550057370651541171540277806  )-( .44000137550057370651541171540277806  ), .44000137550057370651541171540277806  , .44000137550057370651541171540277806  ,   .44000137550057370651541171540277806  , 1.  -( .44000137550057370651541171540277806  )-( .44000137550057370651541171540277806  ), .44000137550057370651541171540277806  ,   .44000137550057370651541171540277806  , .44000137550057370651541171540277806  , 1.  -( .44000137550057370651541171540277806  )-( .44000137550057370651541171540277806  ),
     1.  -( .20438684787130391661942173912629914  )-( .20438684787130391661942173912629914  ), .20438684787130391661942173912629914  , .20438684787130391661942173912629914  ,   .20438684787130391661942173912629914  , 1.  -( .20438684787130391661942173912629914  )-( .20438684787130391661942173912629914  ), .20438684787130391661942173912629914  ,   .20438684787130391661942173912629914  , .20438684787130391661942173912629914  , 1.  -( .20438684787130391661942173912629914  )-( .20438684787130391661942173912629914  ),
     1.  -( .39155520703268199132653695865910252  )-( .39155520703268199132653695865910252  ), .39155520703268199132653695865910252  , .39155520703268199132653695865910252  ,   .39155520703268199132653695865910252  , 1.  -( .39155520703268199132653695865910252  )-( .39155520703268199132653695865910252  ), .39155520703268199132653695865910252  ,   .39155520703268199132653695865910252  , .39155520703268199132653695865910252  , 1.  -( .39155520703268199132653695865910252  )-( .39155520703268199132653695865910252  ),
     1.  -( .26936069184956821890376700734821267  )-( .26936069184956821890376700734821267  ), .26936069184956821890376700734821267  , .26936069184956821890376700734821267  ,   .26936069184956821890376700734821267  , 1.  -( .26936069184956821890376700734821267  )-( .26936069184956821890376700734821267  ), .26936069184956821890376700734821267  ,   .26936069184956821890376700734821267  , .26936069184956821890376700734821267  , 1.  -( .26936069184956821890376700734821267  )-( .26936069184956821890376700734821267  ),
     .00128915765322182138873877223282987  , .38930032117370399940994358985608046  , 1.  -( .00128915765322182138873877223282987  )-( .38930032117370399940994358985608046  ),   .00128915765322182138873877223282987  , 1.  -( .00128915765322182138873877223282987  )-( .38930032117370399940994358985608046  ), .38930032117370399940994358985608046  ,   .38930032117370399940994358985608046  , .00128915765322182138873877223282987  , 1.  -( .00128915765322182138873877223282987  )-( .38930032117370399940994358985608046  ),   .38930032117370399940994358985608046  , 1.  -( .00128915765322182138873877223282987  )-( .38930032117370399940994358985608046  ), .00128915765322182138873877223282987  ,   1.  -( .00128915765322182138873877223282987  )-( .38930032117370399940994358985608046  ), .00128915765322182138873877223282987  , .38930032117370399940994358985608046  ,   1.  -( .00128915765322182138873877223282987  )-( .38930032117370399940994358985608046  ), .38930032117370399940994358985608046  , .00128915765322182138873877223282987  ,
     .00804615544134750962080148406751868  , .03994551899851089671071946872000290  , 1.  -( .00804615544134750962080148406751868  )-( .03994551899851089671071946872000290  ),   .00804615544134750962080148406751868  , 1.  -( .00804615544134750962080148406751868  )-( .03994551899851089671071946872000290  ), .03994551899851089671071946872000290  ,   .03994551899851089671071946872000290  , .00804615544134750962080148406751868  , 1.  -( .00804615544134750962080148406751868  )-( .03994551899851089671071946872000290  ),   .03994551899851089671071946872000290  , 1.  -( .00804615544134750962080148406751868  )-( .03994551899851089671071946872000290  ), .00804615544134750962080148406751868  ,   1.  -( .00804615544134750962080148406751868  )-( .03994551899851089671071946872000290  ), .00804615544134750962080148406751868  , .03994551899851089671071946872000290  ,   1.  -( .00804615544134750962080148406751868  )-( .03994551899851089671071946872000290  ), .03994551899851089671071946872000290  , .00804615544134750962080148406751868  ,
     .00397463904079080448292596145774045  , .17756755351844720149250759536631588  , 1.  -( .00397463904079080448292596145774045  )-( .17756755351844720149250759536631588  ),   .00397463904079080448292596145774045  , 1.  -( .00397463904079080448292596145774045  )-( .17756755351844720149250759536631588  ), .17756755351844720149250759536631588  ,   .17756755351844720149250759536631588  , .00397463904079080448292596145774045  , 1.  -( .00397463904079080448292596145774045  )-( .17756755351844720149250759536631588  ),   .17756755351844720149250759536631588  , 1.  -( .00397463904079080448292596145774045  )-( .17756755351844720149250759536631588  ), .00397463904079080448292596145774045  ,   1.  -( .00397463904079080448292596145774045  )-( .17756755351844720149250759536631588  ), .00397463904079080448292596145774045  , .17756755351844720149250759536631588  ,   1.  -( .00397463904079080448292596145774045  )-( .17756755351844720149250759536631588  ), .17756755351844720149250759536631588  , .00397463904079080448292596145774045  ,
     .00565339683877998034115515308702144  , .09730437316339079594262256407299041  , 1.  -( .00565339683877998034115515308702144  )-( .09730437316339079594262256407299041  ),   .00565339683877998034115515308702144  , 1.  -( .00565339683877998034115515308702144  )-( .09730437316339079594262256407299041  ), .09730437316339079594262256407299041  ,   .09730437316339079594262256407299041  , .00565339683877998034115515308702144  , 1.  -( .00565339683877998034115515308702144  )-( .09730437316339079594262256407299041  ),   .09730437316339079594262256407299041  , 1.  -( .00565339683877998034115515308702144  )-( .09730437316339079594262256407299041  ), .00565339683877998034115515308702144  ,   1.  -( .00565339683877998034115515308702144  )-( .09730437316339079594262256407299041  ), .00565339683877998034115515308702144  , .09730437316339079594262256407299041  ,   1.  -( .00565339683877998034115515308702144  )-( .09730437316339079594262256407299041  ), .09730437316339079594262256407299041  , .00565339683877998034115515308702144  ,
     .03654164634700071865936106746572505  , .04737913646955582393784813835746318  , 1.  -( .03654164634700071865936106746572505  )-( .04737913646955582393784813835746318  ),   .03654164634700071865936106746572505  , 1.  -( .03654164634700071865936106746572505  )-( .04737913646955582393784813835746318  ), .04737913646955582393784813835746318  ,   .04737913646955582393784813835746318  , .03654164634700071865936106746572505  , 1.  -( .03654164634700071865936106746572505  )-( .04737913646955582393784813835746318  ),   .04737913646955582393784813835746318  , 1.  -( .03654164634700071865936106746572505  )-( .04737913646955582393784813835746318  ), .03654164634700071865936106746572505  ,   1.  -( .03654164634700071865936106746572505  )-( .04737913646955582393784813835746318  ), .03654164634700071865936106746572505  , .04737913646955582393784813835746318  ,   1.  -( .03654164634700071865936106746572505  )-( .04737913646955582393784813835746318  ), .04737913646955582393784813835746318  , .03654164634700071865936106746572505  ,
     .00847203125278924422001665909111615  , .27654233490622630027478984616955668  , 1.  -( .00847203125278924422001665909111615  )-( .27654233490622630027478984616955668  ),   .00847203125278924422001665909111615  , 1.  -( .00847203125278924422001665909111615  )-( .27654233490622630027478984616955668  ), .27654233490622630027478984616955668  ,   .27654233490622630027478984616955668  , .00847203125278924422001665909111615  , 1.  -( .00847203125278924422001665909111615  )-( .27654233490622630027478984616955668  ),   .27654233490622630027478984616955668  , 1.  -( .00847203125278924422001665909111615  )-( .27654233490622630027478984616955668  ), .00847203125278924422001665909111615  ,   1.  -( .00847203125278924422001665909111615  )-( .27654233490622630027478984616955668  ), .00847203125278924422001665909111615  , .27654233490622630027478984616955668  ,   1.  -( .00847203125278924422001665909111615  )-( .27654233490622630027478984616955668  ), .27654233490622630027478984616955668  , .00847203125278924422001665909111615  ,
     .03186878555848486368527331611156268  , .10186004800841345175103882567179717  , 1.  -( .03186878555848486368527331611156268  )-( .10186004800841345175103882567179717  ),   .03186878555848486368527331611156268  , 1.  -( .03186878555848486368527331611156268  )-( .10186004800841345175103882567179717  ), .10186004800841345175103882567179717  ,   .10186004800841345175103882567179717  , .03186878555848486368527331611156268  , 1.  -( .03186878555848486368527331611156268  )-( .10186004800841345175103882567179717  ),   .10186004800841345175103882567179717  , 1.  -( .03186878555848486368527331611156268  )-( .10186004800841345175103882567179717  ), .03186878555848486368527331611156268  ,   1.  -( .03186878555848486368527331611156268  )-( .10186004800841345175103882567179717  ), .03186878555848486368527331611156268  , .10186004800841345175103882567179717  ,   1.  -( .03186878555848486368527331611156268  )-( .10186004800841345175103882567179717  ), .10186004800841345175103882567179717  , .03186878555848486368527331611156268  ,
     .02507448575695932327989859470575696  , .17990041142989784948776341885611339  , 1.  -( .02507448575695932327989859470575696  )-( .17990041142989784948776341885611339  ),   .02507448575695932327989859470575696  , 1.  -( .02507448575695932327989859470575696  )-( .17990041142989784948776341885611339  ), .17990041142989784948776341885611339  ,   .17990041142989784948776341885611339  , .02507448575695932327989859470575696  , 1.  -( .02507448575695932327989859470575696  )-( .17990041142989784948776341885611339  ),   .17990041142989784948776341885611339  , 1.  -( .02507448575695932327989859470575696  )-( .17990041142989784948776341885611339  ), .02507448575695932327989859470575696  ,   1.  -( .02507448575695932327989859470575696  )-( .17990041142989784948776341885611339  ), .02507448575695932327989859470575696  , .17990041142989784948776341885611339  ,   1.  -( .02507448575695932327989859470575696  )-( .17990041142989784948776341885611339  ), .17990041142989784948776341885611339  , .02507448575695932327989859470575696  ,
     .02495464920723698331110869690511693  , .37476148829145151703198672023817762  , 1.  -( .02495464920723698331110869690511693  )-( .37476148829145151703198672023817762  ),   .02495464920723698331110869690511693  , 1.  -( .02495464920723698331110869690511693  )-( .37476148829145151703198672023817762  ), .37476148829145151703198672023817762  ,   .37476148829145151703198672023817762  , .02495464920723698331110869690511693  , 1.  -( .02495464920723698331110869690511693  )-( .37476148829145151703198672023817762  ),   .37476148829145151703198672023817762  , 1.  -( .02495464920723698331110869690511693  )-( .37476148829145151703198672023817762  ), .02495464920723698331110869690511693  ,   1.  -( .02495464920723698331110869690511693  )-( .37476148829145151703198672023817762  ), .02495464920723698331110869690511693  , .37476148829145151703198672023817762  ,   1.  -( .02495464920723698331110869690511693  )-( .37476148829145151703198672023817762  ), .37476148829145151703198672023817762  , .02495464920723698331110869690511693  ,
     .07180692748992666960708660113790562  , .16285371365641890528167019069210662  , 1.  -( .07180692748992666960708660113790562  )-( .16285371365641890528167019069210662  ),   .07180692748992666960708660113790562  , 1.  -( .07180692748992666960708660113790562  )-( .16285371365641890528167019069210662  ), .16285371365641890528167019069210662  ,   .16285371365641890528167019069210662  , .07180692748992666960708660113790562  , 1.  -( .07180692748992666960708660113790562  )-( .16285371365641890528167019069210662  ),   .16285371365641890528167019069210662  , 1.  -( .07180692748992666960708660113790562  )-( .16285371365641890528167019069210662  ), .07180692748992666960708660113790562  ,   1.  -( .07180692748992666960708660113790562  )-( .16285371365641890528167019069210662  ), .07180692748992666960708660113790562  , .16285371365641890528167019069210662  ,   1.  -( .07180692748992666960708660113790562  )-( .16285371365641890528167019069210662  ), .16285371365641890528167019069210662  , .07180692748992666960708660113790562  ,
     .04649536832522560731056542252010275  , .26299994692532693286696577835230479  , 1.  -( .04649536832522560731056542252010275  )-( .26299994692532693286696577835230479  ),   .04649536832522560731056542252010275  , 1.  -( .04649536832522560731056542252010275  )-( .26299994692532693286696577835230479  ), .26299994692532693286696577835230479  ,   .26299994692532693286696577835230479  , .04649536832522560731056542252010275  , 1.  -( .04649536832522560731056542252010275  )-( .26299994692532693286696577835230479  ),   .26299994692532693286696577835230479  , 1.  -( .04649536832522560731056542252010275  )-( .26299994692532693286696577835230479  ), .04649536832522560731056542252010275  ,   1.  -( .04649536832522560731056542252010275  )-( .26299994692532693286696577835230479  ), .04649536832522560731056542252010275  , .26299994692532693286696577835230479  ,   1.  -( .04649536832522560731056542252010275  )-( .26299994692532693286696577835230479  ), .26299994692532693286696577835230479  , .04649536832522560731056542252010275  ,
     .07944565832892777248067300362002874  , .35387462268603241581179193663132046  , 1.  -( .07944565832892777248067300362002874  )-( .35387462268603241581179193663132046  ),   .07944565832892777248067300362002874  , 1.  -( .07944565832892777248067300362002874  )-( .35387462268603241581179193663132046  ), .35387462268603241581179193663132046  ,   .35387462268603241581179193663132046  , .07944565832892777248067300362002874  , 1.  -( .07944565832892777248067300362002874  )-( .35387462268603241581179193663132046  ),   .35387462268603241581179193663132046  , 1.  -( .07944565832892777248067300362002874  )-( .35387462268603241581179193663132046  ), .07944565832892777248067300362002874  ,   1.  -( .07944565832892777248067300362002874  )-( .35387462268603241581179193663132046  ), .07944565832892777248067300362002874  , .35387462268603241581179193663132046  ,   1.  -( .07944565832892777248067300362002874  )-( .35387462268603241581179193663132046  ), .35387462268603241581179193663132046  , .07944565832892777248067300362002874  ,
     .11210496839891452618514886571897182  , .24045272001109686579097131221331152  , 1.  -( .11210496839891452618514886571897182  )-( .24045272001109686579097131221331152  ),   .11210496839891452618514886571897182  , 1.  -( .11210496839891452618514886571897182  )-( .24045272001109686579097131221331152  ), .24045272001109686579097131221331152  ,   .24045272001109686579097131221331152  , .11210496839891452618514886571897182  , 1.  -( .11210496839891452618514886571897182  )-( .24045272001109686579097131221331152  ),   .24045272001109686579097131221331152  , 1.  -( .11210496839891452618514886571897182  )-( .24045272001109686579097131221331152  ), .11210496839891452618514886571897182  ,   1.  -( .11210496839891452618514886571897182  )-( .24045272001109686579097131221331152  ), .11210496839891452618514886571897182  , .24045272001109686579097131221331152  ,   1.  -( .11210496839891452618514886571897182  )-( .24045272001109686579097131221331152  ), .24045272001109686579097131221331152  , .11210496839891452618514886571897182  ,
     .16288704432089312482891199962593472  , .31632883636136616749409848630342490  , 1.  -( .16288704432089312482891199962593472  )-( .31632883636136616749409848630342490  ),   .16288704432089312482891199962593472  , 1.  -( .16288704432089312482891199962593472  )-( .31632883636136616749409848630342490  ), .31632883636136616749409848630342490  ,   .31632883636136616749409848630342490  , .16288704432089312482891199962593472  , 1.  -( .16288704432089312482891199962593472  )-( .31632883636136616749409848630342490  ),   .31632883636136616749409848630342490  , 1.  -( .16288704432089312482891199962593472  )-( .31632883636136616749409848630342490  ), .16288704432089312482891199962593472  ,   1.  -( .16288704432089312482891199962593472  )-( .31632883636136616749409848630342490  ), .16288704432089312482891199962593472  , .31632883636136616749409848630342490  ,   1.  -( .16288704432089312482891199962593472  )-( .31632883636136616749409848630342490  ), .31632883636136616749409848630342490  , .16288704432089312482891199962593472  
}

Definition at line 1269 of file quad.c.

                                                             {
    Perm3(.33333333333333333333333333333333333),
    Perm21(.00764481587209140357148961957868539),
    Perm21(.49512326693489419346010327445636948),
    Perm21(.08533571470774055253577908615445653),
    Perm21(.47540435757943002732921306991884855),
    Perm21(.14361312600254966163076940146917127),
    Perm21(.44000137550057370651541171540277806),
    Perm21(.20438684787130391661942173912629914),
    Perm21(.39155520703268199132653695865910252),
    Perm21(.26936069184956821890376700734821267),
    Perm111(.00128915765322182138873877223282987,.38930032117370399940994358985608046),
    Perm111(.00804615544134750962080148406751868,.03994551899851089671071946872000290),
    Perm111(.00397463904079080448292596145774045,.17756755351844720149250759536631588),
    Perm111(.00565339683877998034115515308702144,.09730437316339079594262256407299041),
    Perm111(.03654164634700071865936106746572505,.04737913646955582393784813835746318),
    Perm111(.00847203125278924422001665909111615,.27654233490622630027478984616955668),
    Perm111(.03186878555848486368527331611156268,.10186004800841345175103882567179717),
    Perm111(.02507448575695932327989859470575696,.17990041142989784948776341885611339),
    Perm111(.02495464920723698331110869690511693,.37476148829145151703198672023817762),
    Perm111(.07180692748992666960708660113790562,.16285371365641890528167019069210662),
    Perm111(.04649536832522560731056542252010275,.26299994692532693286696577835230479),
    Perm111(.07944565832892777248067300362002874,.35387462268603241581179193663132046),
    Perm111(.11210496839891452618514886571897182,.24045272001109686579097131221331152),
    Perm111(.16288704432089312482891199962593472,.31632883636136616749409848630342490)
};

QUAD_2D_P24_wts

double QUAD_2D_P24_wts[]

static

Initial value:

= {
     .02293794348096749067720820639821200  ,
     .00076737746111581423045153600120047  , .00076737746111581423045153600120047  , .00076737746111581423045153600120047  ,
     .00552357844475169754997038457424443  , .00552357844475169754997038457424443  , .00552357844475169754997038457424443  ,
     .00838499530275631071273403550487762  , .00838499530275631071273403550487762  , .00838499530275631071273403550487762  ,
     .01221738017800235239788392469826439  , .01221738017800235239788392469826439  , .01221738017800235239788392469826439  ,
     .01307039060561178310890784719893180  , .01307039060561178310890784719893180  , .01307039060561178310890784719893180  ,
     .01788122775842957825015047766363903  , .01788122775842957825015047766363903  , .01788122775842957825015047766363903  ,
     .01822174413909730956979133198261050  , .01822174413909730956979133198261050  , .01822174413909730956979133198261050  ,
     .02164149721756761699449458590855473  , .02164149721756761699449458590855473  , .02164149721756761699449458590855473  ,
     .02168831292692260197279166115848309  , .02168831292692260197279166115848309  , .02168831292692260197279166115848309  ,
     .00174618458266172170313203275603945  , .00174618458266172170313203275603945  , .00174618458266172170313203275603945  , .00174618458266172170313203275603945  , .00174618458266172170313203275603945  , .00174618458266172170313203275603945  ,
     .00183857160374278724340785925075360  , .00183857160374278724340785925075360  , .00183857160374278724340785925075360  , .00183857160374278724340785925075360  , .00183857160374278724340785925075360  , .00183857160374278724340785925075360  ,
     .00199893663336212883772988094673110  , .00199893663336212883772988094673110  , .00199893663336212883772988094673110  , .00199893663336212883772988094673110  , .00199893663336212883772988094673110  , .00199893663336212883772988094673110  ,
     .00206369617133590779327617815189614  , .00206369617133590779327617815189614  , .00206369617133590779327617815189614  , .00206369617133590779327617815189614  , .00206369617133590779327617815189614  , .00206369617133590779327617815189614  ,
     .00229539508715841568165484400462521  , .00229539508715841568165484400462521  , .00229539508715841568165484400462521  , .00229539508715841568165484400462521  , .00229539508715841568165484400462521  , .00229539508715841568165484400462521  ,
     .00457952328890823144675590528548258  , .00457952328890823144675590528548258  , .00457952328890823144675590528548258  , .00457952328890823144675590528548258  , .00457952328890823144675590528548258  , .00457952328890823144675590528548258  ,
     .00529323009909540365054590996973504  , .00529323009909540365054590996973504  , .00529323009909540365054590996973504  , .00529323009909540365054590996973504  , .00529323009909540365054590996973504  , .00529323009909540365054590996973504  ,
     .00557874699599088171390666100209646  , .00557874699599088171390666100209646  , .00557874699599088171390666100209646  , .00557874699599088171390666100209646  , .00557874699599088171390666100209646  , .00557874699599088171390666100209646  ,
     .00861933948725664134146173130325259  , .00861933948725664134146173130325259  , .00861933948725664134146173130325259  , .00861933948725664134146173130325259  , .00861933948725664134146173130325259  , .00861933948725664134146173130325259  ,
     .00999235399224706921212863098136616  , .00999235399224706921212863098136616  , .00999235399224706921212863098136616  , .00999235399224706921212863098136616  , .00999235399224706921212863098136616  , .00999235399224706921212863098136616  ,
     .01030561620768130769226672677282150  , .01030561620768130769226672677282150  , .01030561620768130769226672677282150  , .01030561620768130769226672677282150  , .01030561620768130769226672677282150  , .01030561620768130769226672677282150  ,
     .01460454612625024725227714201539116  , .01460454612625024725227714201539116  , .01460454612625024725227714201539116  , .01460454612625024725227714201539116  , .01460454612625024725227714201539116  , .01460454612625024725227714201539116  ,
     .01499850067625046347206078267251109  , .01499850067625046347206078267251109  , .01499850067625046347206078267251109  , .01499850067625046347206078267251109  , .01499850067625046347206078267251109  , .01499850067625046347206078267251109  ,
     .01923078311743667878627312147552622  , .01923078311743667878627312147552622  , .01923078311743667878627312147552622  , .01923078311743667878627312147552622  , .01923078311743667878627312147552622  , .01923078311743667878627312147552622  
}

Definition at line 1243 of file quad.c.

                                  {
    Dup3(.02293794348096749067720820639821200),
    Dup21(.00076737746111581423045153600120047),
    Dup21(.00552357844475169754997038457424443),
    Dup21(.00838499530275631071273403550487762),
    Dup21(.01221738017800235239788392469826439),
    Dup21(.01307039060561178310890784719893180),
    Dup21(.01788122775842957825015047766363903),
    Dup21(.01822174413909730956979133198261050),
    Dup21(.02164149721756761699449458590855473),
    Dup21(.02168831292692260197279166115848309),
    Dup111(.00174618458266172170313203275603945),
    Dup111(.00183857160374278724340785925075360),
    Dup111(.00199893663336212883772988094673110),
    Dup111(.00206369617133590779327617815189614),
    Dup111(.00229539508715841568165484400462521),
    Dup111(.00457952328890823144675590528548258),
    Dup111(.00529323009909540365054590996973504),
    Dup111(.00557874699599088171390666100209646),
    Dup111(.00861933948725664134146173130325259),
    Dup111(.00999235399224706921212863098136616),
    Dup111(.01030561620768130769226672677282150),
    Dup111(.01460454612625024725227714201539116),
    Dup111(.01499850067625046347206078267251109),
    Dup111(.01923078311743667878627312147552622)
};

QUAD_2D_P25_

QUAD QUAD_2D_P25_

Initial value:

= {
    "2D P25",           
    2,              
    25,             
     (sizeof(QUAD_2D_P25_wts) / (sizeof(QUAD_2D_P25_wts[0]))) , 
    QUAD_2D_P25_pts,        
    QUAD_2D_P25_wts,        
    -1              
}

Definition at line 1365 of file quad.c.

                    {
    "2D P25",           /* name */
    2,              /* dim */
    25,             /* order */
    Length(QUAD_2D_P25_wts),    /* npoints = 126 */
    QUAD_2D_P25_pts,        /* points */
    QUAD_2D_P25_wts,        /* weights */
    -1              /* id */
};

QUAD_2D_P25_pts

double QUAD_2D_P25_pts[(sizeof(QUAD_2D_P25_wts)/(sizeof(QUAD_2D_P25_wts[0]))) *3]

static

Initial value:

= {
     1.  -( .48602675846341286632108494106576852  )-( .48602675846341286632108494106576852  ), .48602675846341286632108494106576852  , .48602675846341286632108494106576852  ,   .48602675846341286632108494106576852  , 1.  -( .48602675846341286632108494106576852  )-( .48602675846341286632108494106576852  ), .48602675846341286632108494106576852  ,   .48602675846341286632108494106576852  , .48602675846341286632108494106576852  , 1.  -( .48602675846341286632108494106576852  )-( .48602675846341286632108494106576852  ),
     1.  -( .43441069933617422686934557925604870  )-( .43441069933617422686934557925604870  ), .43441069933617422686934557925604870  , .43441069933617422686934557925604870  ,   .43441069933617422686934557925604870  , 1.  -( .43441069933617422686934557925604870  )-( .43441069933617422686934557925604870  ), .43441069933617422686934557925604870  ,   .43441069933617422686934557925604870  , .43441069933617422686934557925604870  , 1.  -( .43441069933617422686934557925604870  )-( .43441069933617422686934557925604870  ),
     1.  -( .38988913524396382753969636952404462  )-( .38988913524396382753969636952404462  ), .38988913524396382753969636952404462  , .38988913524396382753969636952404462  ,   .38988913524396382753969636952404462  , 1.  -( .38988913524396382753969636952404462  )-( .38988913524396382753969636952404462  ), .38988913524396382753969636952404462  ,   .38988913524396382753969636952404462  , .38988913524396382753969636952404462  , 1.  -( .38988913524396382753969636952404462  )-( .38988913524396382753969636952404462  ),
     1.  -( .29844323401980449068329287355490048  )-( .29844323401980449068329287355490048  ), .29844323401980449068329287355490048  , .29844323401980449068329287355490048  ,   .29844323401980449068329287355490048  , 1.  -( .29844323401980449068329287355490048  )-( .29844323401980449068329287355490048  ), .29844323401980449068329287355490048  ,   .29844323401980449068329287355490048  , .29844323401980449068329287355490048  , 1.  -( .29844323401980449068329287355490048  )-( .29844323401980449068329287355490048  ),
     1.  -( .23404417233737183658023656970596734  )-( .23404417233737183658023656970596734  ), .23404417233737183658023656970596734  , .23404417233737183658023656970596734  ,   .23404417233737183658023656970596734  , 1.  -( .23404417233737183658023656970596734  )-( .23404417233737183658023656970596734  ), .23404417233737183658023656970596734  ,   .23404417233737183658023656970596734  , .23404417233737183658023656970596734  , 1.  -( .23404417233737183658023656970596734  )-( .23404417233737183658023656970596734  ),
     1.  -( .15146833460901760000000000000000000  )-( .15146833460901760000000000000000000  ), .15146833460901760000000000000000000  , .15146833460901760000000000000000000  ,   .15146833460901760000000000000000000  , 1.  -( .15146833460901760000000000000000000  )-( .15146833460901760000000000000000000  ), .15146833460901760000000000000000000  ,   .15146833460901760000000000000000000  , .15146833460901760000000000000000000  , 1.  -( .15146833460901760000000000000000000  )-( .15146833460901760000000000000000000  ),
     1.  -( .11273389354599349281729186486594851  )-( .11273389354599349281729186486594851  ), .11273389354599349281729186486594851  , .11273389354599349281729186486594851  ,   .11273389354599349281729186486594851  , 1.  -( .11273389354599349281729186486594851  )-( .11273389354599349281729186486594851  ), .11273389354599349281729186486594851  ,   .11273389354599349281729186486594851  , .11273389354599349281729186486594851  , 1.  -( .11273389354599349281729186486594851  )-( .11273389354599349281729186486594851  ),
     1.  -( .07771569209152620223369817320827966  )-( .07771569209152620223369817320827966  ), .07771569209152620223369817320827966  , .07771569209152620223369817320827966  ,   .07771569209152620223369817320827966  , 1.  -( .07771569209152620223369817320827966  )-( .07771569209152620223369817320827966  ), .07771569209152620223369817320827966  ,   .07771569209152620223369817320827966  , .07771569209152620223369817320827966  , 1.  -( .07771569209152620223369817320827966  )-( .07771569209152620223369817320827966  ),
     1.  -( .03489309361429690849533026177733858  )-( .03489309361429690849533026177733858  ), .03489309361429690849533026177733858  , .03489309361429690849533026177733858  ,   .03489309361429690849533026177733858  , 1.  -( .03489309361429690849533026177733858  )-( .03489309361429690849533026177733858  ), .03489309361429690849533026177733858  ,   .03489309361429690849533026177733858  , .03489309361429690849533026177733858  , 1.  -( .03489309361429690849533026177733858  )-( .03489309361429690849533026177733858  ),
     1.  -( .00725818462093238916117013110606335  )-( .00725818462093238916117013110606335  ), .00725818462093238916117013110606335  , .00725818462093238916117013110606335  ,   .00725818462093238916117013110606335  , 1.  -( .00725818462093238916117013110606335  )-( .00725818462093238916117013110606335  ), .00725818462093238916117013110606335  ,   .00725818462093238916117013110606335  , .00725818462093238916117013110606335  , 1.  -( .00725818462093238916117013110606335  )-( .00725818462093238916117013110606335  ),
     .00129235270444219584099302931665302  , .22721445215336410000000000000000000  , 1.  -( .00129235270444219584099302931665302  )-( .22721445215336410000000000000000000  ),   .00129235270444219584099302931665302  , 1.  -( .00129235270444219584099302931665302  )-( .22721445215336410000000000000000000  ), .22721445215336410000000000000000000  ,   .22721445215336410000000000000000000  , .00129235270444219584099302931665302  , 1.  -( .00129235270444219584099302931665302  )-( .22721445215336410000000000000000000  ),   .22721445215336410000000000000000000  , 1.  -( .00129235270444219584099302931665302  )-( .22721445215336410000000000000000000  ), .00129235270444219584099302931665302  ,   1.  -( .00129235270444219584099302931665302  )-( .22721445215336410000000000000000000  ), .00129235270444219584099302931665302  , .22721445215336410000000000000000000  ,   1.  -( .00129235270444219584099302931665302  )-( .22721445215336410000000000000000000  ), .22721445215336410000000000000000000  , .00129235270444219584099302931665302  ,
     .00539970127211620182189732363132860  , .43501055485357173125113362379450230  , 1.  -( .00539970127211620182189732363132860  )-( .43501055485357173125113362379450230  ),   .00539970127211620182189732363132860  , 1.  -( .00539970127211620182189732363132860  )-( .43501055485357173125113362379450230  ), .43501055485357173125113362379450230  ,   .43501055485357173125113362379450230  , .00539970127211620182189732363132860  , 1.  -( .00539970127211620182189732363132860  )-( .43501055485357173125113362379450230  ),   .43501055485357173125113362379450230  , 1.  -( .00539970127211620182189732363132860  )-( .43501055485357173125113362379450230  ), .00539970127211620182189732363132860  ,   1.  -( .00539970127211620182189732363132860  )-( .43501055485357173125113362379450230  ), .00539970127211620182189732363132860  , .43501055485357173125113362379450230  ,   1.  -( .00539970127211620182189732363132860  )-( .43501055485357173125113362379450230  ), .43501055485357173125113362379450230  , .00539970127211620182189732363132860  ,
     .00638400303397498941895749776744540  , .32030959927220447113000026445341979  , 1.  -( .00638400303397498941895749776744540  )-( .32030959927220447113000026445341979  ),   .00638400303397498941895749776744540  , 1.  -( .00638400303397498941895749776744540  )-( .32030959927220447113000026445341979  ), .32030959927220447113000026445341979  ,   .32030959927220447113000026445341979  , .00638400303397498941895749776744540  , 1.  -( .00638400303397498941895749776744540  )-( .32030959927220447113000026445341979  ),   .32030959927220447113000026445341979  , 1.  -( .00638400303397498941895749776744540  )-( .32030959927220447113000026445341979  ), .00638400303397498941895749776744540  ,   1.  -( .00638400303397498941895749776744540  )-( .32030959927220447113000026445341979  ), .00638400303397498941895749776744540  , .32030959927220447113000026445341979  ,   1.  -( .00638400303397498941895749776744540  )-( .32030959927220447113000026445341979  ), .32030959927220447113000026445341979  , .00638400303397498941895749776744540  ,
     .00502821150199308271328582097413442  , .09175032228000531039287201063543536  , 1.  -( .00502821150199308271328582097413442  )-( .09175032228000531039287201063543536  ),   .00502821150199308271328582097413442  , 1.  -( .00502821150199308271328582097413442  )-( .09175032228000531039287201063543536  ), .09175032228000531039287201063543536  ,   .09175032228000531039287201063543536  , .00502821150199308271328582097413442  , 1.  -( .00502821150199308271328582097413442  )-( .09175032228000531039287201063543536  ),   .09175032228000531039287201063543536  , 1.  -( .00502821150199308271328582097413442  )-( .09175032228000531039287201063543536  ), .00502821150199308271328582097413442  ,   1.  -( .00502821150199308271328582097413442  )-( .09175032228000531039287201063543536  ), .00502821150199308271328582097413442  , .09175032228000531039287201063543536  ,   1.  -( .00502821150199308271328582097413442  )-( .09175032228000531039287201063543536  ), .09175032228000531039287201063543536  , .00502821150199308271328582097413442  ,
     .00682675862178184570668051931419220  , .03801083585872443391784793002157854  , 1.  -( .00682675862178184570668051931419220  )-( .03801083585872443391784793002157854  ),   .00682675862178184570668051931419220  , 1.  -( .00682675862178184570668051931419220  )-( .03801083585872443391784793002157854  ), .03801083585872443391784793002157854  ,   .03801083585872443391784793002157854  , .00682675862178184570668051931419220  , 1.  -( .00682675862178184570668051931419220  )-( .03801083585872443391784793002157854  ),   .03801083585872443391784793002157854  , 1.  -( .00682675862178184570668051931419220  )-( .03801083585872443391784793002157854  ), .00682675862178184570668051931419220  ,   1.  -( .00682675862178184570668051931419220  )-( .03801083585872443391784793002157854  ), .00682675862178184570668051931419220  , .03801083585872443391784793002157854  ,   1.  -( .00682675862178184570668051931419220  )-( .03801083585872443391784793002157854  ), .03801083585872443391784793002157854  , .00682675862178184570668051931419220  ,
     .01001619963992951145867446496978043  , .15742521848531178511320753380098114  , 1.  -( .01001619963992951145867446496978043  )-( .15742521848531178511320753380098114  ),   .01001619963992951145867446496978043  , 1.  -( .01001619963992951145867446496978043  )-( .15742521848531178511320753380098114  ), .15742521848531178511320753380098114  ,   .15742521848531178511320753380098114  , .01001619963992951145867446496978043  , 1.  -( .01001619963992951145867446496978043  )-( .15742521848531178511320753380098114  ),   .15742521848531178511320753380098114  , 1.  -( .01001619963992951145867446496978043  )-( .15742521848531178511320753380098114  ), .01001619963992951145867446496978043  ,   1.  -( .01001619963992951145867446496978043  )-( .15742521848531178511320753380098114  ), .01001619963992951145867446496978043  , .15742521848531178511320753380098114  ,   1.  -( .01001619963992951145867446496978043  )-( .15742521848531178511320753380098114  ), .15742521848531178511320753380098114  , .01001619963992951145867446496978043  ,
     .02575781317339004661287123576293491  , .23988965977853325914298591466950265  , 1.  -( .02575781317339004661287123576293491  )-( .23988965977853325914298591466950265  ),   .02575781317339004661287123576293491  , 1.  -( .02575781317339004661287123576293491  )-( .23988965977853325914298591466950265  ), .23988965977853325914298591466950265  ,   .23988965977853325914298591466950265  , .02575781317339004661287123576293491  , 1.  -( .02575781317339004661287123576293491  )-( .23988965977853325914298591466950265  ),   .23988965977853325914298591466950265  , 1.  -( .02575781317339004661287123576293491  )-( .23988965977853325914298591466950265  ), .02575781317339004661287123576293491  ,   1.  -( .02575781317339004661287123576293491  )-( .23988965977853325914298591466950265  ), .02575781317339004661287123576293491  , .23988965977853325914298591466950265  ,   1.  -( .02575781317339004661287123576293491  )-( .23988965977853325914298591466950265  ), .23988965977853325914298591466950265  , .02575781317339004661287123576293491  ,
     .03022789811991582345896227492462806  , .36194311812606053179871201193912355  , 1.  -( .03022789811991582345896227492462806  )-( .36194311812606053179871201193912355  ),   .03022789811991582345896227492462806  , 1.  -( .03022789811991582345896227492462806  )-( .36194311812606053179871201193912355  ), .36194311812606053179871201193912355  ,   .36194311812606053179871201193912355  , .03022789811991582345896227492462806  , 1.  -( .03022789811991582345896227492462806  )-( .36194311812606053179871201193912355  ),   .36194311812606053179871201193912355  , 1.  -( .03022789811991582345896227492462806  )-( .36194311812606053179871201193912355  ), .03022789811991582345896227492462806  ,   1.  -( .03022789811991582345896227492462806  )-( .36194311812606053179871201193912355  ), .03022789811991582345896227492462806  , .36194311812606053179871201193912355  ,   1.  -( .03022789811991582345896227492462806  )-( .36194311812606053179871201193912355  ), .36194311812606053179871201193912355  , .03022789811991582345896227492462806  ,
     .03050499010716207795935512861230592  , .08355196095482845510691464351287596  , 1.  -( .03050499010716207795935512861230592  )-( .08355196095482845510691464351287596  ),   .03050499010716207795935512861230592  , 1.  -( .03050499010716207795935512861230592  )-( .08355196095482845510691464351287596  ), .08355196095482845510691464351287596  ,   .08355196095482845510691464351287596  , .03050499010716207795935512861230592  , 1.  -( .03050499010716207795935512861230592  )-( .08355196095482845510691464351287596  ),   .08355196095482845510691464351287596  , 1.  -( .03050499010716207795935512861230592  )-( .08355196095482845510691464351287596  ), .03050499010716207795935512861230592  ,   1.  -( .03050499010716207795935512861230592  )-( .08355196095482845510691464351287596  ), .03050499010716207795935512861230592  , .08355196095482845510691464351287596  ,   1.  -( .03050499010716207795935512861230592  )-( .08355196095482845510691464351287596  ), .08355196095482845510691464351287596  , .03050499010716207795935512861230592  ,
     .04595654736256931928622033280840303  , .14844322073241812268238560824628123  , 1.  -( .04595654736256931928622033280840303  )-( .14844322073241812268238560824628123  ),   .04595654736256931928622033280840303  , 1.  -( .04595654736256931928622033280840303  )-( .14844322073241812268238560824628123  ), .14844322073241812268238560824628123  ,   .14844322073241812268238560824628123  , .04595654736256931928622033280840303  , 1.  -( .04595654736256931928622033280840303  )-( .14844322073241812268238560824628123  ),   .14844322073241812268238560824628123  , 1.  -( .04595654736256931928622033280840303  )-( .14844322073241812268238560824628123  ), .04595654736256931928622033280840303  ,   1.  -( .04595654736256931928622033280840303  )-( .14844322073241812268238560824628123  ), .04595654736256931928622033280840303  , .14844322073241812268238560824628123  ,   1.  -( .04595654736256931928622033280840303  )-( .14844322073241812268238560824628123  ), .14844322073241812268238560824628123  , .04595654736256931928622033280840303  ,
     .06744280054027761427028802732221226  , .28373970872753497227148332506495505  , 1.  -( .06744280054027761427028802732221226  )-( .28373970872753497227148332506495505  ),   .06744280054027761427028802732221226  , 1.  -( .06744280054027761427028802732221226  )-( .28373970872753497227148332506495505  ), .28373970872753497227148332506495505  ,   .28373970872753497227148332506495505  , .06744280054027761427028802732221226  , 1.  -( .06744280054027761427028802732221226  )-( .28373970872753497227148332506495505  ),   .28373970872753497227148332506495505  , 1.  -( .06744280054027761427028802732221226  )-( .28373970872753497227148332506495505  ), .06744280054027761427028802732221226  ,   1.  -( .06744280054027761427028802732221226  )-( .28373970872753497227148332506495505  ), .06744280054027761427028802732221226  , .28373970872753497227148332506495505  ,   1.  -( .06744280054027761427028802732221226  )-( .28373970872753497227148332506495505  ), .28373970872753497227148332506495505  , .06744280054027761427028802732221226  ,
     .07004509141591061747706842947324321  , .40689937511878760390382808292080011  , 1.  -( .07004509141591061747706842947324321  )-( .40689937511878760390382808292080011  ),   .07004509141591061747706842947324321  , 1.  -( .07004509141591061747706842947324321  )-( .40689937511878760390382808292080011  ), .40689937511878760390382808292080011  ,   .40689937511878760390382808292080011  , .07004509141591061747706842947324321  , 1.  -( .07004509141591061747706842947324321  )-( .40689937511878760390382808292080011  ),   .40689937511878760390382808292080011  , 1.  -( .07004509141591061747706842947324321  )-( .40689937511878760390382808292080011  ), .07004509141591061747706842947324321  ,   1.  -( .07004509141591061747706842947324321  )-( .40689937511878760390382808292080011  ), .07004509141591061747706842947324321  , .40689937511878760390382808292080011  ,   1.  -( .07004509141591061747706842947324321  )-( .40689937511878760390382808292080011  ), .40689937511878760390382808292080011  , .07004509141591061747706842947324321  ,
     .08391152464011664050042868280051014  , .19411398702489250643935208871855679  , 1.  -( .08391152464011664050042868280051014  )-( .19411398702489250643935208871855679  ),   .08391152464011664050042868280051014  , 1.  -( .08391152464011664050042868280051014  )-( .19411398702489250643935208871855679  ), .19411398702489250643935208871855679  ,   .19411398702489250643935208871855679  , .08391152464011664050042868280051014  , 1.  -( .08391152464011664050042868280051014  )-( .19411398702489250643935208871855679  ),   .19411398702489250643935208871855679  , 1.  -( .08391152464011664050042868280051014  )-( .19411398702489250643935208871855679  ), .08391152464011664050042868280051014  ,   1.  -( .08391152464011664050042868280051014  )-( .19411398702489250643935208871855679  ), .08391152464011664050042868280051014  , .19411398702489250643935208871855679  ,   1.  -( .08391152464011664050042868280051014  )-( .19411398702489250643935208871855679  ), .19411398702489250643935208871855679  , .08391152464011664050042868280051014  ,
     .12037553567715270000000000000000000  , .32413434700070320631848835964861372  , 1.  -( .12037553567715270000000000000000000  )-( .32413434700070320631848835964861372  ),   .12037553567715270000000000000000000  , 1.  -( .12037553567715270000000000000000000  )-( .32413434700070320631848835964861372  ), .32413434700070320631848835964861372  ,   .32413434700070320631848835964861372  , .12037553567715270000000000000000000  , 1.  -( .12037553567715270000000000000000000  )-( .32413434700070320631848835964861372  ),   .32413434700070320631848835964861372  , 1.  -( .12037553567715270000000000000000000  )-( .32413434700070320631848835964861372  ), .12037553567715270000000000000000000  ,   1.  -( .12037553567715270000000000000000000  )-( .32413434700070320631848835964861372  ), .12037553567715270000000000000000000  , .32413434700070320631848835964861372  ,   1.  -( .12037553567715270000000000000000000  )-( .32413434700070320631848835964861372  ), .32413434700070320631848835964861372  , .12037553567715270000000000000000000  ,
     .14806689915736669746097550576436943  , .22927748355598104616627200389359665  , 1.  -( .14806689915736669746097550576436943  )-( .22927748355598104616627200389359665  ),   .14806689915736669746097550576436943  , 1.  -( .14806689915736669746097550576436943  )-( .22927748355598104616627200389359665  ), .22927748355598104616627200389359665  ,   .22927748355598104616627200389359665  , .14806689915736669746097550576436943  , 1.  -( .14806689915736669746097550576436943  )-( .22927748355598104616627200389359665  ),   .22927748355598104616627200389359665  , 1.  -( .14806689915736669746097550576436943  )-( .22927748355598104616627200389359665  ), .14806689915736669746097550576436943  ,   1.  -( .14806689915736669746097550576436943  )-( .22927748355598104616627200389359665  ), .14806689915736669746097550576436943  , .22927748355598104616627200389359665  ,   1.  -( .14806689915736669746097550576436943  )-( .22927748355598104616627200389359665  ), .22927748355598104616627200389359665  , .14806689915736669746097550576436943  ,
     .19177186586732510675561189736742768  , .32561812259598383120936369037062376  , 1.  -( .19177186586732510675561189736742768  )-( .32561812259598383120936369037062376  ),   .19177186586732510675561189736742768  , 1.  -( .19177186586732510675561189736742768  )-( .32561812259598383120936369037062376  ), .32561812259598383120936369037062376  ,   .32561812259598383120936369037062376  , .19177186586732510675561189736742768  , 1.  -( .19177186586732510675561189736742768  )-( .32561812259598383120936369037062376  ),   .32561812259598383120936369037062376  , 1.  -( .19177186586732510675561189736742768  )-( .32561812259598383120936369037062376  ), .19177186586732510675561189736742768  ,   1.  -( .19177186586732510675561189736742768  )-( .32561812259598383120936369037062376  ), .19177186586732510675561189736742768  , .32561812259598383120936369037062376  ,   1.  -( .19177186586732510675561189736742768  )-( .32561812259598383120936369037062376  ), .32561812259598383120936369037062376  , .19177186586732510675561189736742768  
}

Definition at line 1337 of file quad.c.

                                                             {
    Perm21(.48602675846341286632108494106576852),
    Perm21(.43441069933617422686934557925604870),
    Perm21(.38988913524396382753969636952404462),
    Perm21(.29844323401980449068329287355490048),
    Perm21(.23404417233737183658023656970596734),
    Perm21(.15146833460901760000000000000000000),
    Perm21(.11273389354599349281729186486594851),
    Perm21(.07771569209152620223369817320827966),
    Perm21(.03489309361429690849533026177733858),
    Perm21(.00725818462093238916117013110606335),
    Perm111(.00129235270444219584099302931665302,.22721445215336410000000000000000000),
    Perm111(.00539970127211620182189732363132860,.43501055485357173125113362379450230),
    Perm111(.00638400303397498941895749776744540,.32030959927220447113000026445341979),
    Perm111(.00502821150199308271328582097413442,.09175032228000531039287201063543536),
    Perm111(.00682675862178184570668051931419220,.03801083585872443391784793002157854),
    Perm111(.01001619963992951145867446496978043,.15742521848531178511320753380098114),
    Perm111(.02575781317339004661287123576293491,.23988965977853325914298591466950265),
    Perm111(.03022789811991582345896227492462806,.36194311812606053179871201193912355),
    Perm111(.03050499010716207795935512861230592,.08355196095482845510691464351287596),
    Perm111(.04595654736256931928622033280840303,.14844322073241812268238560824628123),
    Perm111(.06744280054027761427028802732221226,.28373970872753497227148332506495505),
    Perm111(.07004509141591061747706842947324321,.40689937511878760390382808292080011),
    Perm111(.08391152464011664050042868280051014,.19411398702489250643935208871855679),
    Perm111(.12037553567715270000000000000000000,.32413434700070320631848835964861372),
    Perm111(.14806689915736669746097550576436943,.22927748355598104616627200389359665),
    Perm111(.19177186586732510675561189736742768,.32561812259598383120936369037062376)
};

QUAD_2D_P25_wts

double QUAD_2D_P25_wts[]

static

Initial value:

= {
     .00800558188002042313368589293942171  , .00800558188002042313368589293942171  , .00800558188002042313368589293942171  ,
     .01594707683239049085408554937789681  , .01594707683239049085408554937789681  , .01594707683239049085408554937789681  ,
     .01310914123079550369839487163291327  , .01310914123079550369839487163291327  , .01310914123079550369839487163291327  ,
     .01958300096563560520647726105123795  , .01958300096563560520647726105123795  , .01958300096563560520647726105123795  ,
     .01647088544153726359394636789647424  , .01647088544153726359394636789647424  , .01647088544153726359394636789647424  ,
     .00854727907409214131204679403754348  , .00854727907409214131204679403754348  , .00854727907409214131204679403754348  ,
     .00816188585722650120293135168156145  , .00816188585722650120293135168156145  , .00816188585722650120293135168156145  ,
     .00612114653998375062550303141747500  , .00612114653998375062550303141747500  , .00612114653998375062550303141747500  ,
     .00290849826493666035989604760244737  , .00290849826493666035989604760244737  , .00290849826493666035989604760244737  ,
     .00069227524566199872959231564688970  , .00069227524566199872959231564688970  , .00069227524566199872959231564688970  ,
     .00124828919927740405463308732687347  , .00124828919927740405463308732687347  , .00124828919927740405463308732687347  , .00124828919927740405463308732687347  , .00124828919927740405463308732687347  , .00124828919927740405463308732687347  ,
     .00340475290880302630290932517884509  , .00340475290880302630290932517884509  , .00340475290880302630290932517884509  , .00340475290880302630290932517884509  , .00340475290880302630290932517884509  , .00340475290880302630290932517884509  ,
     .00335965432606405469389982622818046  , .00335965432606405469389982622818046  , .00335965432606405469389982622818046  , .00335965432606405469389982622818046  , .00335965432606405469389982622818046  , .00335965432606405469389982622818046  ,
     .00171615653949675776835927257382091  , .00171615653949675776835927257382091  , .00171615653949675776835927257382091  , .00171615653949675776835927257382091  , .00171615653949675776835927257382091  , .00171615653949675776835927257382091  ,
     .00148085631671560275966191325505238  , .00148085631671560275966191325505238  , .00148085631671560275966191325505238  , .00148085631671560275966191325505238  , .00148085631671560275966191325505238  , .00148085631671560275966191325505238  ,
     .00351131261072868028754024041382735  , .00351131261072868028754024041382735  , .00351131261072868028754024041382735  , .00351131261072868028754024041382735  , .00351131261072868028754024041382735  , .00351131261072868028754024041382735  ,
     .00739355014970648910670774728325426  , .00739355014970648910670774728325426  , .00739355014970648910670774728325426  , .00739355014970648910670774728325426  , .00739355014970648910670774728325426  , .00739355014970648910670774728325426  ,
     .00798308747737656611293770143977919  , .00798308747737656611293770143977919  , .00798308747737656611293770143977919  , .00798308747737656611293770143977919  , .00798308747737656611293770143977919  , .00798308747737656611293770143977919  ,
     .00435596261315803802370299459187773  , .00435596261315803802370299459187773  , .00435596261315803802370299459187773  , .00435596261315803802370299459187773  , .00435596261315803802370299459187773  , .00435596261315803802370299459187773  ,
     .00736505670141783108374850348433179  , .00736505670141783108374850348433179  , .00736505670141783108374850348433179  , .00736505670141783108374850348433179  , .00736505670141783108374850348433179  , .00736505670141783108374850348433179  ,
     .01096357284641954589593589943582605  , .01096357284641954589593589943582605  , .01096357284641954589593589943582605  , .01096357284641954589593589943582605  , .01096357284641954589593589943582605  , .01096357284641954589593589943582605  ,
     .01174996174354112327739198111865119  , .01174996174354112327739198111865119  , .01174996174354112327739198111865119  , .01174996174354112327739198111865119  , .01174996174354112327739198111865119  , .01174996174354112327739198111865119  ,
     .01001560071379857640896706453029824  , .01001560071379857640896706453029824  , .01001560071379857640896706453029824  , .01001560071379857640896706453029824  , .01001560071379857640896706453029824  , .01001560071379857640896706453029824  ,
     .01330964078762866755490152722632760  , .01330964078762866755490152722632760  , .01330964078762866755490152722632760  , .01330964078762866755490152722632760  , .01330964078762866755490152722632760  , .01330964078762866755490152722632760  ,
     .01415444650522613072733705129605375  , .01415444650522613072733705129605375  , .01415444650522613072733705129605375  , .01415444650522613072733705129605375  , .01415444650522613072733705129605375  , .01415444650522613072733705129605375  ,
     .01488137956116800324975278964173671  , .01488137956116800324975278964173671  , .01488137956116800324975278964173671  , .01488137956116800324975278964173671  , .01488137956116800324975278964173671  , .01488137956116800324975278964173671  
}

Definition at line 1309 of file quad.c.

                                  {
    Dup21(.00800558188002042313368589293942171),
    Dup21(.01594707683239049085408554937789681),
    Dup21(.01310914123079550369839487163291327),
    Dup21(.01958300096563560520647726105123795),
    Dup21(.01647088544153726359394636789647424),
    Dup21(.00854727907409214131204679403754348),
    Dup21(.00816188585722650120293135168156145),
    Dup21(.00612114653998375062550303141747500),
    Dup21(.00290849826493666035989604760244737),
    Dup21(.00069227524566199872959231564688970),
    Dup111(.00124828919927740405463308732687347),
    Dup111(.00340475290880302630290932517884509),
    Dup111(.00335965432606405469389982622818046),
    Dup111(.00171615653949675776835927257382091),
    Dup111(.00148085631671560275966191325505238),
    Dup111(.00351131261072868028754024041382735),
    Dup111(.00739355014970648910670774728325426),
    Dup111(.00798308747737656611293770143977919),
    Dup111(.00435596261315803802370299459187773),
    Dup111(.00736505670141783108374850348433179),
    Dup111(.01096357284641954589593589943582605),
    Dup111(.01174996174354112327739198111865119),
    Dup111(.01001560071379857640896706453029824),
    Dup111(.01330964078762866755490152722632760),
    Dup111(.01415444650522613072733705129605375),
    Dup111(.01488137956116800324975278964173671)
};

QUAD_2D_P26_

QUAD QUAD_2D_P26_

Initial value:

= {
    "2D P26",           
    2,              
    26,             
     (sizeof(QUAD_2D_P26_wts) / (sizeof(QUAD_2D_P26_wts[0]))) , 
    QUAD_2D_P26_pts,        
    QUAD_2D_P26_wts,        
    -1              
}

Definition at line 1451 of file quad.c.

                    {
    "2D P26",           /* name */
    2,              /* dim */
    26,             /* order */
    Length(QUAD_2D_P26_wts),    /* npoints = 133 */
    QUAD_2D_P26_pts,        /* points */
    QUAD_2D_P26_wts,        /* weights */
    -1              /* id */
};

QUAD_2D_P26_pts

double QUAD_2D_P26_pts[(sizeof(QUAD_2D_P26_wts)/(sizeof(QUAD_2D_P26_wts[0]))) *3]

static

Definition at line 1404 of file quad.c.

                                                             {
    Perm3(.33333333333333333333333333333333333),
    Perm21(.42738077638464831074877265985432388),
    Perm21(.38699172838462112393769349339592202),
    Perm21(.29080160649677600000000000000000000),
    Perm21(.21955119391561192225377283920396941),
    Perm21(.14147766876769242783780816190264115),
    Perm21(.08529773902470504192646771859292695),
    Perm21(.03245379871194203562256093430387330),
    Perm21(.00688528565235726390272245979876787),
    Perm111(.43994521155768505420225073420375411,
        .55367421644525807832051112152536738),
    Perm111(.32999703483323129491627843183841851,
        .66364319673874589711499831297210598),
    Perm111(.23082959156933124460906369415091164,
        .76308863521363336439140145775470392),
    Perm111(.14794411408540751228070615912033131,
        .84674293184236109088401920967886276),
    Perm111(.08331051165939022562807285094666142,
        .90927752172075602921190126258082178),
    Perm111(.03550260326758216848726613913161973,
        .95859557015929357672073151433554495),
    Perm111(.43799285096397419659511807977149749,
        .52875010002019513801184885338236967),
    Perm111(.34184511530123979780425420810756385,
        .62501066255799393838930209588631898),
    Perm111(.24321991316551786475075820451965981,
        .72464470136332536323906998980156002),
    Perm111(.15369391178063810461104521948139224,
        .81668780811826632451173297381674549),
    Perm111(.08182824840515584556272055876947980,
        .88137737650647236457017244683395591),
    Perm111(.40543528702386735945093314372836966,
        .51444288504473371249851667233726474),
    Perm111(.30047523445100120928119574237532588,
        .62059693664252388102960854157646856),
    Perm111(.21029877498305665945876052946338960,
        .71260468401313836547438957626142950),
    Perm111(.14192949723680286586293618687501310,
        .78364422636910025200372459985859611),
    Perm111(.32282570605532179374541311121620042,
        .53538969633347138690064718160659645),
    Perm111(.22503850086766503651915588373212567,
        .63399334111941569685209117569438308),
    Perm111(.30622801452292528203795810454570981,
        .48023900880456248705776905427268046)
};

QUAD_2D_P26_wts

double QUAD_2D_P26_wts[]

static

Initial value:

= {
     .01417752160999602353323977972271527  ,
     .01562847738814814970970457453697594  , .01562847738814814970970457453697594  , .01562847738814814970970457453697594  ,
     .01463752622911178264133988219347403  , .01463752622911178264133988219347403  , .01463752622911178264133988219347403  ,
     .01199877346634344861456211855900933  , .01199877346634344861456211855900933  , .01199877346634344861456211855900933  ,
     .01408927503571013898691920328509770  , .01408927503571013898691920328509770  , .01408927503571013898691920328509770  ,
     .01137089506541742371508421522672789  , .01137089506541742371508421522672789  , .01137089506541742371508421522672789  ,
     .00576148405319945074736514087034656  , .00576148405319945074736514087034656  , .00576148405319945074736514087034656  ,
     .00288047484993807908673712870762860  , .00288047484993807908673712870762860  , .00288047484993807908673712870762860  ,
     .00061792400780682863983571128624684  , .00061792400780682863983571128624684  , .00061792400780682863983571128624684  ,
     .00369419331787613967876812943308712  , .00369419331787613967876812943308712  , .00369419331787613967876812943308712  , .00369419331787613967876812943308712  , .00369419331787613967876812943308712  , .00369419331787613967876812943308712  ,
     .00343799094677204927555439258769779  , .00343799094677204927555439258769779  , .00343799094677204927555439258769779  , .00343799094677204927555439258769779  , .00343799094677204927555439258769779  , .00343799094677204927555439258769779  ,
     .00286153444220796869854630479719978  , .00286153444220796869854630479719978  , .00286153444220796869854630479719978  , .00286153444220796869854630479719978  , .00286153444220796869854630479719978  , .00286153444220796869854630479719978  ,
     .00203926220043675486828725055944921  , .00203926220043675486828725055944921  , .00203926220043675486828725055944921  , .00203926220043675486828725055944921  , .00203926220043675486828725055944921  , .00203926220043675486828725055944921  ,
     .00212260415935469294564133350026422  , .00212260415935469294564133350026422  , .00212260415935469294564133350026422  , .00212260415935469294564133350026422  , .00212260415935469294564133350026422  , .00212260415935469294564133350026422  ,
     .00119562615477588655866810063068187  , .00119562615477588655866810063068187  , .00119562615477588655866810063068187  , .00119562615477588655866810063068187  , .00119562615477588655866810063068187  , .00119562615477588655866810063068187  ,
     .00685739162489405400311650380844794  , .00685739162489405400311650380844794  , .00685739162489405400311650380844794  , .00685739162489405400311650380844794  , .00685739162489405400311650380844794  , .00685739162489405400311650380844794  ,
     .00734359958211473751194803942744208  , .00734359958211473751194803942744208  , .00734359958211473751194803942744208  , .00734359958211473751194803942744208  , .00734359958211473751194803942744208  , .00734359958211473751194803942744208  ,
     .00692380910755335710497733455285917  , .00692380910755335710497733455285917  , .00692380910755335710497733455285917  , .00692380910755335710497733455285917  , .00692380910755335710497733455285917  , .00692380910755335710497733455285917  ,
     .00568034562903817703600660475801349  , .00568034562903817703600660475801349  , .00568034562903817703600660475801349  , .00568034562903817703600660475801349  , .00568034562903817703600660475801349  , .00568034562903817703600660475801349  ,
     .00482902212700270888221406835346564  , .00482902212700270888221406835346564  , .00482902212700270888221406835346564  , .00482902212700270888221406835346564  , .00482902212700270888221406835346564  , .00482902212700270888221406835346564  ,
     .01217016111615610869604849372625312  , .01217016111615610869604849372625312  , .01217016111615610869604849372625312  , .01217016111615610869604849372625312  , .01217016111615610869604849372625312  , .01217016111615610869604849372625312  ,
     .01093398470027832184481918666951027  , .01093398470027832184481918666951027  , .01093398470027832184481918666951027  , .01093398470027832184481918666951027  , .01093398470027832184481918666951027  , .01093398470027832184481918666951027  ,
     .00874472678661106729318818910817295  , .00874472678661106729318818910817295  , .00874472678661106729318818910817295  , .00874472678661106729318818910817295  , .00874472678661106729318818910817295  , .00874472678661106729318818910817295  ,
     .00680604517250698803302377412054323  , .00680604517250698803302377412054323  , .00680604517250698803302377412054323  , .00680604517250698803302377412054323  , .00680604517250698803302377412054323  , .00680604517250698803302377412054323  ,
     .01411590919743288381954091229224022  , .01411590919743288381954091229224022  , .01411590919743288381954091229224022  , .01411590919743288381954091229224022  , .01411590919743288381954091229224022  , .01411590919743288381954091229224022  ,
     .01311478562571945830368980380706058  , .01311478562571945830368980380706058  , .01311478562571945830368980380706058  , .01311478562571945830368980380706058  , .01311478562571945830368980380706058  , .01311478562571945830368980380706058  ,
     .01294033945976499045298096058107199  , .01294033945976499045298096058107199  , .01294033945976499045298096058107199  , .01294033945976499045298096058107199  , .01294033945976499045298096058107199  , .01294033945976499045298096058107199  
}

Definition at line 1375 of file quad.c.

                                  {
    Dup3(.01417752160999602353323977972271527),
    Dup21(.01562847738814814970970457453697594),
    Dup21(.01463752622911178264133988219347403),
    Dup21(.01199877346634344861456211855900933),
    Dup21(.01408927503571013898691920328509770),
    Dup21(.01137089506541742371508421522672789),
    Dup21(.00576148405319945074736514087034656),
    Dup21(.00288047484993807908673712870762860),
    Dup21(.00061792400780682863983571128624684),
    Dup111(.00369419331787613967876812943308712),
    Dup111(.00343799094677204927555439258769779),
    Dup111(.00286153444220796869854630479719978),
    Dup111(.00203926220043675486828725055944921),
    Dup111(.00212260415935469294564133350026422),
    Dup111(.00119562615477588655866810063068187),
    Dup111(.00685739162489405400311650380844794),
    Dup111(.00734359958211473751194803942744208),
    Dup111(.00692380910755335710497733455285917),
    Dup111(.00568034562903817703600660475801349),
    Dup111(.00482902212700270888221406835346564),
    Dup111(.01217016111615610869604849372625312),
    Dup111(.01093398470027832184481918666951027),
    Dup111(.00874472678661106729318818910817295),
    Dup111(.00680604517250698803302377412054323),
    Dup111(.01411590919743288381954091229224022),
    Dup111(.01311478562571945830368980380706058),
    Dup111(.01294033945976499045298096058107199)
};

QUAD_2D_P27_

QUAD QUAD_2D_P27_

Initial value:

= {
    "2D P27",           
    2,              
    27,             
     (sizeof(QUAD_2D_P27_wts) / (sizeof(QUAD_2D_P27_wts[0]))) , 
    QUAD_2D_P27_pts,        
    QUAD_2D_P27_wts,        
    -1              
}

Definition at line 1544 of file quad.c.

                    {
    "2D P27",           /* name */
    2,              /* dim */
    27,             /* order */
    Length(QUAD_2D_P27_wts),    /* npoints = 145 */
    QUAD_2D_P27_pts,        /* points */
    QUAD_2D_P27_wts,        /* weights */
    -1              /* id */
};

QUAD_2D_P27_pts

double QUAD_2D_P27_pts[(sizeof(QUAD_2D_P27_wts)/(sizeof(QUAD_2D_P27_wts[0]))) *3]

static

Definition at line 1493 of file quad.c.

                                                             {
    Perm3(.33333333333333333333333333333333333),
    Perm21(.46427084805466920349262004314703836),
    Perm21(.43229831434028157352333551631753476),
    Perm21(.39075381477193176882883899825279826),
    Perm21(.29984903083812250736371384535095833),
    Perm21(.24238609336669501198579355664452309),
    Perm21(.19575163384470794764935880541589295),
    Perm21(.11096422071801854111207889228991412),
    Perm21(.06784943782072336611132231104850517),
    Perm21(.03248814431443691367844218208374596),
    Perm21(.00702227048619495308291407220447055),
    Perm111(.44433448769671943201275224300444114,
        .55016916248187282000891941332861776),
    Perm111(.24271988774832453561075341685216292,
        .75119868054856110177318171512240453),
    Perm111(.15818892475209601952406305738166283,
        .83835069531284232651520750772598161),
    Perm111(.08845560649090179633078521783025438,
        .90629410967510652581883999276555543),
    Perm111(.33999316891507000002332849881468819,
        .65372187099256441503697325319687970),
    Perm111(.03671154847229659731571109853308589,
        .95724604370116430180960160528414269),
    Perm111(.08124029610361356005058157071908989,
        .89177919384281966240532352562349587),
    Perm111(.43194999140455781310320628223711064,
        .53892333102966923458236030560490706),
    Perm111(.32699693161719831316306130873483095,
        .64047090201394740296518952785936033),
    Perm111(.23408117072735995645396481889795017,
        .73431597148508412293269931866205238),
    Perm111(.15347363272308466475181254734395719,
        .82492267618399551423539156004582949),
    Perm111(.12699941589030054190683503157639795,
        .81688483424950280690392059398500667),
    Perm111(.36806660226545525465188762517330287,
        .55934053585742889058858737838306859),
    Perm111(.26979607114851247262701085083588115,
        .65088590636580683812387505565452156),
    Perm111(.18699471085773505905185124894492060,
        .74499601198138427785033316282140954),
    Perm111(.34595044287272788784072078462621499,
        .52709408040032769073500598867000113),
    Perm111(.18245632238005479720023182986667859,
        .69385768740918414496471841615003464),
    Perm111(.26018384965949842909231289915918049,
        .59478379886135638965559275913807350),
    Perm111(.31984867358313578155757977176391537,
        .48237346031069377766871464449285085)
};

QUAD_2D_P27_wts

double QUAD_2D_P27_wts[]

static

Definition at line 1461 of file quad.c.

                                  {
    Dup3(.00132645422676788269875694817310637),
    Dup21(.01017606777254880480746165608356455),
    Dup21(.01355363518955792585297110164615270),
    Dup21(.01435575232352898855810447417832482),
    Dup21(.01762154025479284493331530463863313),
    Dup21(.01286456612407540576521896438320606),
    Dup21(.01021120788721442034062871052526150),
    Dup21(.00805484559136441340259536953879069),
    Dup21(.00485083247712445072994650912354335),
    Dup21(.00276034923845063648517112406186915),
    Dup21(.00064652022402423359706690809995414),
    Dup111(.00298280618704304171833833804758432),
    Dup111(.00286890029157565788749757647924691),
    Dup111(.00146771786779737406777795858954528),
    Dup111(.00163545643437809674920446933139427),
    Dup111(.00326270663499477733596716702887470),
    Dup111(.00127830372794885836417837000658451),
    Dup111(.00355054931897130700729806858502069),
    Dup111(.00705687847901615495175919551339405),
    Dup111(.00710874754932738751234293916033450),
    Dup111(.00619331568447356835579144233234119),
    Dup111(.00430573263634848540647054196708181),
    Dup111(.00538152713709093753671677026319717),
    Dup111(.00946147607081304454837567274132095),
    Dup111(.01038776441184486432462624183330042),
    Dup111(.00693741437082199035643509373698783),
    Dup111(.01056786087493971379972576670902532),
    Dup111(.01001591520410395750929434758482549),
    Dup111(.01145776939470566123752859291178484),
    Dup111(.01297709014466941197797189467632131)
};

QUAD_2D_P28_

QUAD QUAD_2D_P28_

Initial value:

= {
    "2D P28",           
    2,              
    28,             
     (sizeof(QUAD_2D_P28_wts) / (sizeof(QUAD_2D_P28_wts[0]))) , 
    QUAD_2D_P28_pts,        
    QUAD_2D_P28_wts,        
    -1              
}

Definition at line 1642 of file quad.c.

                    {
    "2D P28",           /* name */
    2,              /* dim */
    28,             /* order */
    Length(QUAD_2D_P28_wts),    /* npoints = 154 */
    QUAD_2D_P28_pts,        /* points */
    QUAD_2D_P28_wts,        /* weights */
    -1              /* id */
};

QUAD_2D_P28_pts

double QUAD_2D_P28_pts[(sizeof(QUAD_2D_P28_wts)/(sizeof(QUAD_2D_P28_wts[0]))) *3]

static

Definition at line 1588 of file quad.c.

                                                             {
    Perm3(.33333333333333333333333333333333333),
    Perm21(.49835341312677973221949148740253129),
    Perm21(.48856275409050881854170094866703248),
    Perm21(.46478147828724737521816425323927792),
    Perm21(.38976627332101772838564635544311420),
    Perm21(.30154675118298200000000000000000000),
    Perm21(.26157407405925900000000000000000000),
    Perm21(.21410788634590951182959860455114779),
    Perm21(.17013819127147552416852263597020987),
    Perm21(.06437078350269442260455184210867187),
    Perm21(.03056003210401320908223320131174623),
    Perm21(.00570940793308473608535324150722078),
    Perm111(.29536153497141490674708319047417597,
        .70085350685240175269511103394845061),
    Perm111(.20287670215559760434708665743838398,
        .79193561974577570926640621745254478),
    Perm111(.12817949523631330608909975560928685,
        .86701504698388816611813701911598314),
    Perm111(.07052544109205498392587648111966164,
        .92391986491477366531821910182946052),
    Perm111(.39532631740896702860171237522193030,
        .59771306110677331467243551041521591),
    Perm111(.02956827316914143637172672359648260,
        .96465253113231383432304266408275803),
    Perm111(.30675094998690715371535728527788425,
        .66850082953013352645351336823624571),
    Perm111(.22517182313337122500507617369889188,
        .75132263382025994493510577224942991),
    Perm111(.07635892427059552575901260109062831,
        .89611941137326587665824353804536658),
    Perm111(.14042475531972069418905256134644577,
        .83328227859710106355842490700741297),
    Perm111(.39118747052871590865900820029002383,
        .57082898894634335709509739044406166),
    Perm111(.19396081112987221646366179522225910,
        .75010271498110326795986200675381153),
    Perm111(.11586020721321567595528110784524463,
        .81777490624407893257309046195761535),
    Perm111(.28023728574593295635247200998364845,
        .65528264369963779978719065630966078),
    Perm111(.35489334757487301545619510855666152,
        .55787563056563336146991239029436233),
    Perm111(.14534210735467833470209926430836432,
        .74965464658825236845917501382975580),
    Perm111(.21353594460615902118568163630567554,
        .67815620035398476715714603087527412),
    Perm111(.38905986757978011881345023070696881,
        .47478610218807292068119420965885141),
    Perm111(.27562890222960030201915925622737738,
        .58603008200093619992681987776326855),
    Perm111(.31377995329904710006329372044106871,
        .49151146351194286330016259453399046)
};

QUAD_2D_P28_wts

double QUAD_2D_P28_wts[]

static

Definition at line 1554 of file quad.c.

                                  {
    Dup3(.00372851181690746808458802773780931),
    Dup21(.00193654415522499089798121523079372),
    Dup21(.00605141039266348349682076643537264),
    Dup21(.01141411355071663950946117311831634),
    Dup21(.01608007376313012939112012516866485),
    Dup21(.01403532910432407033763380729780537),
    Dup21(.00978327794286426243399757092983715),
    Dup21(.01267830169820560106561705330317056),
    Dup21(.01011411585946974486266089228810336),
    Dup21(.00376318422499545225814714605310903),
    Dup21(.00243119330615522129960297283149783),
    Dup21(.00042588994531646428122960119842518),
    Dup111(.00206901772064515543837924811367839),
    Dup111(.00215432386268054430571141067616092),
    Dup111(.00166065394763716989540584667501249),
    Dup111(.00138084032913645059993106848688128),
    Dup111(.00360171025661803306118091200062737),
    Dup111(.00097386114094506619777294737048538),
    Dup111(.00535413394306626012053016995775099),
    Dup111(.00423736286661477466768017827663045),
    Dup111(.00330847570421703082215419515418717),
    Dup111(.00448583942101861046216741271009491),
    Dup111(.00776555845120818901711264608747662),
    Dup111(.00687043734971177067707693439653168),
    Dup111(.00584068837096601687691778384738186),
    Dup111(.00888657317183860444062439413402823),
    Dup111(.01038315778562466496474547463182699),
    Dup111(.00655128753862388719526464995777170),
    Dup111(.00877076875255828946048204111223478),
    Dup111(.01218892935729072907621500755722349),
    Dup111(.01250643549629844281533668106200953),
    Dup111(.01269847559228270197407683124148953)
};

QUAD_2D_P29_

QUAD QUAD_2D_P29_

Initial value:

= {
    "2D P29",           
    2,              
    29,             
     (sizeof(QUAD_2D_P29_wts) / (sizeof(QUAD_2D_P29_wts[0]))) , 
    QUAD_2D_P29_pts,        
    QUAD_2D_P29_wts,        
    -1              
}

Definition at line 1745 of file quad.c.

                    {
    "2D P29",           /* name */
    2,              /* dim */
    29,             /* order */
    Length(QUAD_2D_P29_wts),    /* npoints = 166 */
    QUAD_2D_P29_pts,        /* points */
    QUAD_2D_P29_wts,        /* weights */
    -1              /* id */
};

QUAD_2D_P29_pts

double QUAD_2D_P29_pts[(sizeof(QUAD_2D_P29_wts)/(sizeof(QUAD_2D_P29_wts[0]))) *3]

static

Definition at line 1687 of file quad.c.

                                                             {
    Perm3(.33333333333333333333333333333333333),
    Perm21(.49941626286799955409520464498316269),
    Perm21(.48948346983261497522938052895559610),
    Perm21(.38337490646926000907612840544797942),
    Perm21(.28657967124624950515035657391568590),
    Perm21(.23675743798075908296846185092132762),
    Perm21(.18444854262549379977888738237869426),
    Perm21(.09592097238345002706204055857161251),
    Perm21(.05732663714886085602392016667935097),
    Perm21(.00360814709934401389942946854275571),
    Perm111(.32459168027628713302158859225874986,
        .67371212175894638940968866052450810),
    Perm111(.20538296110395026907966241605897587,
        .79285585098032246467154265489876875),
    Perm111(.12781715504878891712709027697510756,
        .86682261130980615198333080160570653),
    Perm111(.06397213170443202744985506555180679,
        .93422003016808671513846621034706181),
    Perm111(.40877270304610163463977433263460813,
        .58330425747295030197062188244089100),
    Perm111(.26000366001505949148390106470940356,
        .72820244365190777874589416567626502),
    Perm111(.08370103760471207151750106127384500,
        .89846466640643977698190152996194171),
    Perm111(.02277724243943714846816275979306666,
        .97158629182957065178007512301223061),
    Perm111(.33249703304933480878170490873619909,
        .64248824389424048968615511405857584),
    Perm111(.17546771597780866991339541376496896,
        .80343317590650447549486585236617441),
    Perm111(.04239144337139153742306881985042489,
        .93728223742102642341436645741650662),
    Perm111(.23808696074926436006355587074260398,
        .71698190885093363334019663932316818),
    Perm111(.11385025949319543285234976170424461,
        .84431131334463485469301787175078758),
    Perm111(.40769947121073335745665277255775013,
        .54824721541790114707748890982833737),
    Perm111(.30971996601029726066117003751273698,
        .62232557895213827911084197477161010),
    Perm111(.16501257707342404851428639610530038,
        .76776792910869773214284522469888712),
    Perm111(.43736489346938777507788866536148926,
        .48468874869866900000000000000000000),
    Perm111(.23036169231961739485460160639223048,
        .66627592302530221745209390079397421),
    Perm111(.35305476702238759018727511157688575,
        .54053899274173894698475001785466288),
    Perm111(.15871875580457590021286449358564550,
        .72119885820756830541154885697690356),
    Perm111(.40214959194205300000000000000000001,
        .45482738530050760506736521027227478),
    Perm111(.27186848606196062046228695803969211,
        .57716886061275534659861021805529577),
    Perm111(.32870389995531448574405098549674708,
        .47881463249708848352487404443818064)
};

QUAD_2D_P29_wts

double QUAD_2D_P29_wts[]

static

Definition at line 1652 of file quad.c.

                                  {
    Dup3(.01390369197243498012196860526728523),
    Dup21(.00119407074555933681859037971323571),
    Dup21(.00558417807814421700320296020710969),
    Dup21(.01401429650050351710041595861194328),
    Dup21(.01410780604708034305616878409304137),
    Dup21(.01342810431576591351787528351663394),
    Dup21(.01217537497609338458269338763086290),
    Dup21(.00722294427143959319468499698239233),
    Dup21(.00443751867960735637759182913807913),
    Dup21(.00019771881519265609682851845605640),
    Dup111(.00129189419129147303154103509431602),
    Dup111(.00112772642035394166015974617443553),
    Dup111(.00184745171735374848441682404155343),
    Dup111(.00071782203324654941618021167082972),
    Dup111(.00351318664214703198725396103172539),
    Dup111(.00349660600844854338988705837555120),
    Dup111(.00241690948038281274650124841577492),
    Dup111(.00081313466613996608724908914031470),
    Dup111(.00564942974660398293146765321429865),
    Dup111(.00445904031659885067338404631595062),
    Dup111(.00185640152529500022792451101805069),
    Dup111(.00701742231395962656370871380070187),
    Dup111(.00476963067992196310852157152860163),
    Dup111(.00768181583252764607257537723234668),
    Dup111(.00866304121915658321589732638654127),
    Dup111(.00694192073189620264349957702824600),
    Dup111(.00608713825993680733195825320444232),
    Dup111(.00987867211691082287437749173658670),
    Dup111(.01040317740016649468355653503351506),
    Dup111(.00677295750139824628718993144871263),
    Dup111(.00832356466794721739792214655562608),
    Dup111(.01175825678556958331667970045402759),
    Dup111(.01268117819931458364046050771195975)
};

QUAD_2D_P2_

QUAD QUAD_2D_P2_

Initial value:

= {
    "2D P2",            
    2,              
    2,              
     (sizeof(QUAD_2D_P2_wts) / (sizeof(QUAD_2D_P2_wts[0]))) ,   
    QUAD_2D_P2_pts,     
    QUAD_2D_P2_wts,     
    -1              
}

Definition at line 295 of file quad.c.

                   {
    "2D P2",            /* name */
    2,              /* dim */
    2,              /* order */
    Length(QUAD_2D_P2_wts), /* npoints = 3 */
    QUAD_2D_P2_pts,     /* points */
    QUAD_2D_P2_wts,     /* weights */
    -1              /* id */
};

QUAD_2D_P2_pts

double QUAD_2D_P2_pts[(sizeof(QUAD_2D_P2_wts)/(sizeof(QUAD_2D_P2_wts[0]))) *3]

static

Initial value:

= {
     1.  -( 1./6.  )-( 1./6.  ), 1./6.  , 1./6.  ,   1./6.  , 1.  -( 1./6.  )-( 1./6.  ), 1./6.  ,   1./6.  , 1./6.  , 1.  -( 1./6.  )-( 1./6.  )
}

Definition at line 292 of file quad.c.

                                                           {
    Perm21(1./6.)
};

QUAD_2D_P2_wts

double QUAD_2D_P2_wts[]

static

Initial value:

= {
     1./3.  , 1./3.  , 1./3.  
}

Definition at line 289 of file quad.c.

                                 {
    Dup21(1./3.)
};

QUAD_2D_P3_

QUAD QUAD_2D_P3_

Initial value:

= {
    "2D P3",            
    2,              
    3,              
     (sizeof(QUAD_2D_P3_wts) / (sizeof(QUAD_2D_P3_wts[0]))) ,   
    QUAD_2D_P3_pts,     
    QUAD_2D_P3_wts,     
    -1              
}

Definition at line 326 of file quad.c.

                   {
    "2D P3",            /* name */
    2,              /* dim */
    3,              /* order */
    Length(QUAD_2D_P3_wts), /* npoints = 6 */
    QUAD_2D_P3_pts,     /* points */
    QUAD_2D_P3_wts,     /* weights */
    -1              /* id */
};

QUAD_2D_P3_pts

double QUAD_2D_P3_pts[(sizeof(QUAD_2D_P3_wts)/(sizeof(QUAD_2D_P3_wts[0]))) *3]

static

Initial value:

= {
     1.  -( .16288285039589191090016180418490635  )-( .16288285039589191090016180418490635  ), .16288285039589191090016180418490635  , .16288285039589191090016180418490635  ,   .16288285039589191090016180418490635  , 1.  -( .16288285039589191090016180418490635  )-( .16288285039589191090016180418490635  ), .16288285039589191090016180418490635  ,   .16288285039589191090016180418490635  , .16288285039589191090016180418490635  , 1.  -( .16288285039589191090016180418490635  )-( .16288285039589191090016180418490635  ),
     1.  -( .47791988356756370000000000000000000  )-( .47791988356756370000000000000000000  ), .47791988356756370000000000000000000  , .47791988356756370000000000000000000  ,   .47791988356756370000000000000000000  , 1.  -( .47791988356756370000000000000000000  )-( .47791988356756370000000000000000000  ), .47791988356756370000000000000000000  ,   .47791988356756370000000000000000000  , .47791988356756370000000000000000000  , 1.  -( .47791988356756370000000000000000000  )-( .47791988356756370000000000000000000  )
}

Definition at line 321 of file quad.c.

                                                           {
    Perm21(.16288285039589191090016180418490635),
    Perm21(.47791988356756370000000000000000000)
};

QUAD_2D_P3_wts

double QUAD_2D_P3_wts[]

static

Initial value:

= {
     .28114980244097964825351432270207695  , .28114980244097964825351432270207695  , .28114980244097964825351432270207695  ,
     .05218353089235368507981901063125638  , .05218353089235368507981901063125638  , .05218353089235368507981901063125638  
}

Definition at line 317 of file quad.c.

                                 {
    Dup21(.28114980244097964825351432270207695),
    Dup21(.05218353089235368507981901063125638)
};

QUAD_2D_P4_

QUAD QUAD_2D_P4_

Initial value:

= {
    "2D P4",            
    2,              
    4,              
     (sizeof(QUAD_2D_P4_wts) / (sizeof(QUAD_2D_P4_wts[0]))) ,   
    QUAD_2D_P4_pts,     
    QUAD_2D_P4_wts,     
    -1              
}

Definition at line 348 of file quad.c.

                   {
    "2D P4",            /* name */
    2,              /* dim */
    4,              /* order */
    Length(QUAD_2D_P4_wts), /* npoints = 6 */
    QUAD_2D_P4_pts,     /* points */
    QUAD_2D_P4_wts,     /* weights */
    -1              /* id */
};

QUAD_2D_P4_pts

double QUAD_2D_P4_pts[(sizeof(QUAD_2D_P4_wts)/(sizeof(QUAD_2D_P4_wts[0]))) *3]

static

Initial value:

= {
    
     1.  -( .44594849091596488631832925388305199  )-( .44594849091596488631832925388305199  ), .44594849091596488631832925388305199  , .44594849091596488631832925388305199  ,   .44594849091596488631832925388305199  , 1.  -( .44594849091596488631832925388305199  )-( .44594849091596488631832925388305199  ), .44594849091596488631832925388305199  ,   .44594849091596488631832925388305199  , .44594849091596488631832925388305199  , 1.  -( .44594849091596488631832925388305199  )-( .44594849091596488631832925388305199  ),
    
     1.  -( .09157621350977074345957146340220151  )-( .09157621350977074345957146340220151  ), .09157621350977074345957146340220151  , .09157621350977074345957146340220151  ,   .09157621350977074345957146340220151  , 1.  -( .09157621350977074345957146340220151  )-( .09157621350977074345957146340220151  ), .09157621350977074345957146340220151  ,   .09157621350977074345957146340220151  , .09157621350977074345957146340220151  , 1.  -( .09157621350977074345957146340220151  )-( .09157621350977074345957146340220151  )
}

Definition at line 342 of file quad.c.

                                                           {
    /* (8 - sqrt(10) + sqrt(38 - 44 * sqrt(2 / 5))) / 18 */
    Perm21(.44594849091596488631832925388305199),
    /* (8 - sqrt(10) - sqrt(38 - 44 * sqrt(2 / 5))) / 18 */
    Perm21(.09157621350977074345957146340220151)
};

QUAD_2D_P4_wts

double QUAD_2D_P4_wts[]

static

Initial value:

= {
    
     .22338158967801146569500700843312280  , .22338158967801146569500700843312280  , .22338158967801146569500700843312280  ,
    
     .10995174365532186763832632490021053  , .10995174365532186763832632490021053  , .10995174365532186763832632490021053  
}

Definition at line 336 of file quad.c.

                                 {
    /* (620 + sqrt(213125 - 53320 * sqrt(10))) / 3720 */
    Dup21(.22338158967801146569500700843312280),
    /* (620 - sqrt(213125 - 53320 * sqrt(10))) / 3720 */
    Dup21(.10995174365532186763832632490021053)
};

QUAD_2D_P5_

QUAD QUAD_2D_P5_

Initial value:

= {
    "2D P5",            
    2,              
    5,              
     (sizeof(QUAD_2D_P5_wts) / (sizeof(QUAD_2D_P5_wts[0]))) ,   
    QUAD_2D_P5_pts,     
    QUAD_2D_P5_wts,     
    -1              
}

Definition at line 373 of file quad.c.

                   {
    "2D P5",            /* name */
    2,              /* dim */
    5,              /* order */
    Length(QUAD_2D_P5_wts), /* npoints = 7 */
    QUAD_2D_P5_pts,     /* points */
    QUAD_2D_P5_wts,     /* weights */
    -1              /* id */
};

QUAD_2D_P5_pts

double QUAD_2D_P5_pts[(sizeof(QUAD_2D_P5_wts)/(sizeof(QUAD_2D_P5_wts[0]))) *3]

static

Initial value:

= {
    
     1.  -( .10128650732345633880098736191512383  )-( .10128650732345633880098736191512383  ), .10128650732345633880098736191512383  , .10128650732345633880098736191512383  ,   .10128650732345633880098736191512383  , 1.  -( .10128650732345633880098736191512383  )-( .10128650732345633880098736191512383  ), .10128650732345633880098736191512383  ,   .10128650732345633880098736191512383  , .10128650732345633880098736191512383  , 1.  -( .10128650732345633880098736191512383  )-( .10128650732345633880098736191512383  ),
    
     1.  -( .47014206410511508977044120951344760  )-( .47014206410511508977044120951344760  ), .47014206410511508977044120951344760  , .47014206410511508977044120951344760  ,   .47014206410511508977044120951344760  , 1.  -( .47014206410511508977044120951344760  )-( .47014206410511508977044120951344760  ), .47014206410511508977044120951344760  ,   .47014206410511508977044120951344760  , .47014206410511508977044120951344760  , 1.  -( .47014206410511508977044120951344760  )-( .47014206410511508977044120951344760  ),
    
     1.  / 3.  , 1.  / 3.  , 1.  / 3.  
}

Definition at line 365 of file quad.c.

                                                           {
    /* (6 - sqrt(15)) / 21 */
    Perm21(.10128650732345633880098736191512383),
    /* (6 + sqrt(15)) / 21 */
    Perm21(.47014206410511508977044120951344760),
    /* 1 / 3 */
    Perm3(1./3.)
};

QUAD_2D_P5_wts

double QUAD_2D_P5_wts[]

static

Initial value:

= {
    
     .12593918054482715259568394550018133  , .12593918054482715259568394550018133  , .12593918054482715259568394550018133  ,
    
     .13239415278850618073764938783315200  , .13239415278850618073764938783315200  , .13239415278850618073764938783315200  ,
     9./40.  
}

Definition at line 358 of file quad.c.

                                 {
    /* (155 - sqrt(15)) / 1200 */
    Dup21(.12593918054482715259568394550018133),
    /* (155 + sqrt(15)) / 1200 */
    Dup21(.13239415278850618073764938783315200),
    Dup3(9./40.)
};

QUAD_2D_P6_

QUAD QUAD_2D_P6_

Initial value:

= {
    "2D P6",            
    2,              
    6,              
     (sizeof(QUAD_2D_P6_wts) / (sizeof(QUAD_2D_P6_wts[0]))) ,   
    QUAD_2D_P6_pts,     
    QUAD_2D_P6_wts,     
    -1              
}

Definition at line 436 of file quad.c.

                   {
    "2D P6",            /* name */
    2,              /* dim */
    6,              /* order */
    Length(QUAD_2D_P6_wts), /* npoints = 12 */
    QUAD_2D_P6_pts,     /* points */
    QUAD_2D_P6_wts,     /* weights */
    -1              /* id */
};

QUAD_2D_P6_pts

double QUAD_2D_P6_pts[(sizeof(QUAD_2D_P6_wts)/(sizeof(QUAD_2D_P6_wts[0]))) *3]

static

Initial value:

= {
     1.  -( .06308901449150222834033160287081916  )-( .06308901449150222834033160287081916  ), .06308901449150222834033160287081916  , .06308901449150222834033160287081916  ,   .06308901449150222834033160287081916  , 1.  -( .06308901449150222834033160287081916  )-( .06308901449150222834033160287081916  ), .06308901449150222834033160287081916  ,   .06308901449150222834033160287081916  , .06308901449150222834033160287081916  , 1.  -( .06308901449150222834033160287081916  )-( .06308901449150222834033160287081916  ),
     1.  -( .24928674517091042129163855310701908  )-( .24928674517091042129163855310701908  ), .24928674517091042129163855310701908  , .24928674517091042129163855310701908  ,   .24928674517091042129163855310701908  , 1.  -( .24928674517091042129163855310701908  )-( .24928674517091042129163855310701908  ), .24928674517091042129163855310701908  ,   .24928674517091042129163855310701908  , .24928674517091042129163855310701908  , 1.  -( .24928674517091042129163855310701908  )-( .24928674517091042129163855310701908  ),
    
 .05314504984481694735324967163139815  , .31035245103378440541660773395655215  , 1.  -( .05314504984481694735324967163139815  )-( .31035245103378440541660773395655215  ),   .05314504984481694735324967163139815  , 1.  -( .05314504984481694735324967163139815  )-( .31035245103378440541660773395655215  ), .31035245103378440541660773395655215  ,   .31035245103378440541660773395655215  , .05314504984481694735324967163139815  , 1.  -( .05314504984481694735324967163139815  )-( .31035245103378440541660773395655215  ),   .31035245103378440541660773395655215  , 1.  -( .05314504984481694735324967163139815  )-( .31035245103378440541660773395655215  ), .05314504984481694735324967163139815  ,   1.  -( .05314504984481694735324967163139815  )-( .31035245103378440541660773395655215  ), .05314504984481694735324967163139815  , .31035245103378440541660773395655215  ,   1.  -( .05314504984481694735324967163139815  )-( .31035245103378440541660773395655215  ), .31035245103378440541660773395655215  , .05314504984481694735324967163139815  
}

Definition at line 430 of file quad.c.

                                                           {
    Perm21(.06308901449150222834033160287081916),
    Perm21(.24928674517091042129163855310701908),
    Perm111(.05314504984481694735324967163139815,
        .31035245103378440541660773395655215)
};

QUAD_2D_P6_wts

double QUAD_2D_P6_wts[]

static

Initial value:

= {
     .05084490637020681692093680910686898  , .05084490637020681692093680910686898  , .05084490637020681692093680910686898  ,
     .11678627572637936602528961138557944  , .11678627572637936602528961138557944  , .11678627572637936602528961138557944  ,
     .08285107561837357519355345642044245  , .08285107561837357519355345642044245  , .08285107561837357519355345642044245  , .08285107561837357519355345642044245  , .08285107561837357519355345642044245  , .08285107561837357519355345642044245  
}

Definition at line 425 of file quad.c.

                                 {
    Dup21(.05084490637020681692093680910686898),
    Dup21(.11678627572637936602528961138557944),
    Dup111(.08285107561837357519355345642044245)
};

QUAD_2D_P7_

QUAD QUAD_2D_P7_

Initial value:

= {
    "2D P7",            
    2,              
    7,              
     (sizeof(QUAD_2D_P7_wts) / (sizeof(QUAD_2D_P7_wts[0]))) ,   
    QUAD_2D_P7_pts,     
    QUAD_2D_P7_wts,     
    -1              
}

Definition at line 475 of file quad.c.

                   {
    "2D P7",            /* name */
    2,              /* dim */
    7,              /* order */
    Length(QUAD_2D_P7_wts), /* npoints = 15 */
    QUAD_2D_P7_pts,     /* points */
    QUAD_2D_P7_wts,     /* weights */
    -1              /* id */
};

QUAD_2D_P7_pts

double QUAD_2D_P7_pts[(sizeof(QUAD_2D_P7_wts)/(sizeof(QUAD_2D_P7_wts[0]))) *3]

static

Initial value:

= {
     1.  -( .02826392415607634022359600691324002  )-( .02826392415607634022359600691324002  ), .02826392415607634022359600691324002  , .02826392415607634022359600691324002  ,   .02826392415607634022359600691324002  , 1.  -( .02826392415607634022359600691324002  )-( .02826392415607634022359600691324002  ), .02826392415607634022359600691324002  ,   .02826392415607634022359600691324002  , .02826392415607634022359600691324002  , 1.  -( .02826392415607634022359600691324002  )-( .02826392415607634022359600691324002  ),
     1.  -( .47431132326722257527522522793181654  )-( .47431132326722257527522522793181654  ), .47431132326722257527522522793181654  , .47431132326722257527522522793181654  ,   .47431132326722257527522522793181654  , 1.  -( .47431132326722257527522522793181654  )-( .47431132326722257527522522793181654  ), .47431132326722257527522522793181654  ,   .47431132326722257527522522793181654  , .47431132326722257527522522793181654  , 1.  -( .47431132326722257527522522793181654  )-( .47431132326722257527522522793181654  ),
     1.  -( .24114332584984881025414351267036207  )-( .24114332584984881025414351267036207  ), .24114332584984881025414351267036207  , .24114332584984881025414351267036207  ,   .24114332584984881025414351267036207  , 1.  -( .24114332584984881025414351267036207  )-( .24114332584984881025414351267036207  ), .24114332584984881025414351267036207  ,   .24114332584984881025414351267036207  , .24114332584984881025414351267036207  , 1.  -( .24114332584984881025414351267036207  )-( .24114332584984881025414351267036207  ),
    
 .76122274802452380000000000000000000  , .04627087779880891064092559391702049  , 1.  -( .76122274802452380000000000000000000  )-( .04627087779880891064092559391702049  ),   .76122274802452380000000000000000000  , 1.  -( .76122274802452380000000000000000000  )-( .04627087779880891064092559391702049  ), .04627087779880891064092559391702049  ,   .04627087779880891064092559391702049  , .76122274802452380000000000000000000  , 1.  -( .76122274802452380000000000000000000  )-( .04627087779880891064092559391702049  ),   .04627087779880891064092559391702049  , 1.  -( .76122274802452380000000000000000000  )-( .04627087779880891064092559391702049  ), .76122274802452380000000000000000000  ,   1.  -( .76122274802452380000000000000000000  )-( .04627087779880891064092559391702049  ), .76122274802452380000000000000000000  , .04627087779880891064092559391702049  ,   1.  -( .76122274802452380000000000000000000  )-( .04627087779880891064092559391702049  ), .04627087779880891064092559391702049  , .76122274802452380000000000000000000  
}

Definition at line 467 of file quad.c.

                                                           {
    Perm21(.02826392415607634022359600691324002),
    Perm21(.47431132326722257527522522793181654),
    Perm21(.24114332584984881025414351267036207),
    Perm111(.76122274802452380000000000000000000,
        .04627087779880891064092559391702049)
};

QUAD_2D_P7_wts

double QUAD_2D_P7_wts[]

static

Initial value:

= {
     .01353386251566556156682309245259393  , .01353386251566556156682309245259393  , .01353386251566556156682309245259393  ,
     .07895125443201098137652145029770332  , .07895125443201098137652145029770332  , .07895125443201098137652145029770332  ,
     .12860792781890607455665553308952344  , .12860792781890607455665553308952344  , .12860792781890607455665553308952344  ,
     .05612014428337535791666662874675632  , .05612014428337535791666662874675632  , .05612014428337535791666662874675632  , .05612014428337535791666662874675632  , .05612014428337535791666662874675632  , .05612014428337535791666662874675632  
}

Definition at line 461 of file quad.c.

                                 {
    Dup21(.01353386251566556156682309245259393),
    Dup21(.07895125443201098137652145029770332),
    Dup21(.12860792781890607455665553308952344),
    Dup111(.05612014428337535791666662874675632)
};

QUAD_2D_P8_

QUAD QUAD_2D_P8_

Initial value:

= {
    "2D P8",            
    2,              
    8,              
     (sizeof(QUAD_2D_P8_wts) / (sizeof(QUAD_2D_P8_wts[0]))) ,   
    QUAD_2D_P8_pts,     
    QUAD_2D_P8_wts,     
    -1              
}

Definition at line 500 of file quad.c.

                   {
    "2D P8",            /* name */
    2,              /* dim */
    8,              /* order */
    Length(QUAD_2D_P8_wts), /* npoints = 16 */
    QUAD_2D_P8_pts,     /* points */
    QUAD_2D_P8_wts,     /* weights */
    -1              /* id */
};

QUAD_2D_P8_pts

double QUAD_2D_P8_pts[(sizeof(QUAD_2D_P8_wts)/(sizeof(QUAD_2D_P8_wts[0]))) *3]

static

Initial value:

= {
     1.  / 3.  , 1.  / 3.  , 1.  / 3.  ,
     1.  -( .17056930775176020662229350149146450  )-( .17056930775176020662229350149146450  ), .17056930775176020662229350149146450  , .17056930775176020662229350149146450  ,   .17056930775176020662229350149146450  , 1.  -( .17056930775176020662229350149146450  )-( .17056930775176020662229350149146450  ), .17056930775176020662229350149146450  ,   .17056930775176020662229350149146450  , .17056930775176020662229350149146450  , 1.  -( .17056930775176020662229350149146450  )-( .17056930775176020662229350149146450  ),
     1.  -( .05054722831703097545842355059659895  )-( .05054722831703097545842355059659895  ), .05054722831703097545842355059659895  , .05054722831703097545842355059659895  ,   .05054722831703097545842355059659895  , 1.  -( .05054722831703097545842355059659895  )-( .05054722831703097545842355059659895  ), .05054722831703097545842355059659895  ,   .05054722831703097545842355059659895  , .05054722831703097545842355059659895  , 1.  -( .05054722831703097545842355059659895  )-( .05054722831703097545842355059659895  ),
     1.  -( .45929258829272315602881551449416932  )-( .45929258829272315602881551449416932  ), .45929258829272315602881551449416932  , .45929258829272315602881551449416932  ,   .45929258829272315602881551449416932  , 1.  -( .45929258829272315602881551449416932  )-( .45929258829272315602881551449416932  ), .45929258829272315602881551449416932  ,   .45929258829272315602881551449416932  , .45929258829272315602881551449416932  , 1.  -( .45929258829272315602881551449416932  )-( .45929258829272315602881551449416932  ),
    
 .26311282963463811342178578628464359  , .00839477740995760533721383453929445  , 1.  -( .26311282963463811342178578628464359  )-( .00839477740995760533721383453929445  ),   .26311282963463811342178578628464359  , 1.  -( .26311282963463811342178578628464359  )-( .00839477740995760533721383453929445  ), .00839477740995760533721383453929445  ,   .00839477740995760533721383453929445  , .26311282963463811342178578628464359  , 1.  -( .26311282963463811342178578628464359  )-( .00839477740995760533721383453929445  ),   .00839477740995760533721383453929445  , 1.  -( .26311282963463811342178578628464359  )-( .00839477740995760533721383453929445  ), .26311282963463811342178578628464359  ,   1.  -( .26311282963463811342178578628464359  )-( .00839477740995760533721383453929445  ), .26311282963463811342178578628464359  , .00839477740995760533721383453929445  ,   1.  -( .26311282963463811342178578628464359  )-( .00839477740995760533721383453929445  ), .00839477740995760533721383453929445  , .26311282963463811342178578628464359  
}

Definition at line 492 of file quad.c.

                                                           {
    Perm3(.33333333333333333333333333333333333),
    Perm21(.17056930775176020662229350149146450),
    Perm21(.05054722831703097545842355059659895),
    Perm21(.45929258829272315602881551449416932),
    Perm111(.26311282963463811342178578628464359,
        .00839477740995760533721383453929445)
};

QUAD_2D_P8_wts

double QUAD_2D_P8_wts[]

static

Initial value:

= {
     .14431560767778716825109111048906462  ,
     .10321737053471825028179155029212903  , .10321737053471825028179155029212903  , .10321737053471825028179155029212903  ,
     .03245849762319808031092592834178060  , .03245849762319808031092592834178060  , .03245849762319808031092592834178060  ,
     .09509163426728462479389610438858432  , .09509163426728462479389610438858432  , .09509163426728462479389610438858432  ,
     .02723031417443499426484469007390892  , .02723031417443499426484469007390892  , .02723031417443499426484469007390892  , .02723031417443499426484469007390892  , .02723031417443499426484469007390892  , .02723031417443499426484469007390892  
}

Definition at line 485 of file quad.c.

                                 {
    Dup3(.14431560767778716825109111048906462),
    Dup21(.10321737053471825028179155029212903),
    Dup21(.03245849762319808031092592834178060),
    Dup21(.09509163426728462479389610438858432),
    Dup111(.02723031417443499426484469007390892)
};

QUAD_2D_P9_

QUAD QUAD_2D_P9_

Initial value:

= {
    "2D P9",            
    2,              
    9,              
     (sizeof(QUAD_2D_P9_wts) / (sizeof(QUAD_2D_P9_wts[0]))) ,   
    QUAD_2D_P9_pts,     
    QUAD_2D_P9_wts,     
    -1              
}

Definition at line 552 of file quad.c.

                   {
    "2D P9",            /* name */
    2,              /* dim */
    9,              /* order */
    Length(QUAD_2D_P9_wts), /* npoints = 19 */
    QUAD_2D_P9_pts,     /* points */
    QUAD_2D_P9_wts,     /* weights */
    -1              /* id */
};

QUAD_2D_P9_pts

double QUAD_2D_P9_pts[(sizeof(QUAD_2D_P9_wts)/(sizeof(QUAD_2D_P9_wts[0]))) *3]

static

Initial value:

= {
     1.  / 3.  , 1.  / 3.  , 1.  / 3.  ,
     1.  -( .48968251919873762778370692483619280  )-( .48968251919873762778370692483619280  ), .48968251919873762778370692483619280  , .48968251919873762778370692483619280  ,   .48968251919873762778370692483619280  , 1.  -( .48968251919873762778370692483619280  )-( .48968251919873762778370692483619280  ), .48968251919873762778370692483619280  ,   .48968251919873762778370692483619280  , .48968251919873762778370692483619280  , 1.  -( .48968251919873762778370692483619280  )-( .48968251919873762778370692483619280  ),
     1.  -( .04472951339445270986510658996627636  )-( .04472951339445270986510658996627636  ), .04472951339445270986510658996627636  , .04472951339445270986510658996627636  ,   .04472951339445270986510658996627636  , 1.  -( .04472951339445270986510658996627636  )-( .04472951339445270986510658996627636  ), .04472951339445270986510658996627636  ,   .04472951339445270986510658996627636  , .04472951339445270986510658996627636  , 1.  -( .04472951339445270986510658996627636  )-( .04472951339445270986510658996627636  ),
     1.  -( .43708959149293663726993036443535497  )-( .43708959149293663726993036443535497  ), .43708959149293663726993036443535497  , .43708959149293663726993036443535497  ,   .43708959149293663726993036443535497  , 1.  -( .43708959149293663726993036443535497  )-( .43708959149293663726993036443535497  ), .43708959149293663726993036443535497  ,   .43708959149293663726993036443535497  , .43708959149293663726993036443535497  , 1.  -( .43708959149293663726993036443535497  )-( .43708959149293663726993036443535497  ),
     1.  -( .18820353561903273024096128046733557  )-( .18820353561903273024096128046733557  ), .18820353561903273024096128046733557  , .18820353561903273024096128046733557  ,   .18820353561903273024096128046733557  , 1.  -( .18820353561903273024096128046733557  )-( .18820353561903273024096128046733557  ), .18820353561903273024096128046733557  ,   .18820353561903273024096128046733557  , .18820353561903273024096128046733557  , 1.  -( .18820353561903273024096128046733557  )-( .18820353561903273024096128046733557  ),
    
 .74119859878449802069007987352342383  , .22196298916076569567510252769319107  , 1.  -( .74119859878449802069007987352342383  )-( .22196298916076569567510252769319107  ),   .74119859878449802069007987352342383  , 1.  -( .74119859878449802069007987352342383  )-( .22196298916076569567510252769319107  ), .22196298916076569567510252769319107  ,   .22196298916076569567510252769319107  , .74119859878449802069007987352342383  , 1.  -( .74119859878449802069007987352342383  )-( .22196298916076569567510252769319107  ),   .22196298916076569567510252769319107  , 1.  -( .74119859878449802069007987352342383  )-( .22196298916076569567510252769319107  ), .74119859878449802069007987352342383  ,   1.  -( .74119859878449802069007987352342383  )-( .22196298916076569567510252769319107  ), .74119859878449802069007987352342383  , .22196298916076569567510252769319107  ,   1.  -( .74119859878449802069007987352342383  )-( .22196298916076569567510252769319107  ), .22196298916076569567510252769319107  , .74119859878449802069007987352342383  
}

Definition at line 543 of file quad.c.

                                                           {
    Perm3(.33333333333333333333333333333333333),
    Perm21(.48968251919873762778370692483619280),
    Perm21(.04472951339445270986510658996627636),
    Perm21(.43708959149293663726993036443535497),
    Perm21(.18820353561903273024096128046733557),
    Perm111(.74119859878449802069007987352342383,
        .22196298916076569567510252769319107)
};

QUAD_2D_P9_wts

double QUAD_2D_P9_wts[]

static

Initial value:

= {
     .09713579628279883381924198250728863  ,
     .03133470022713907053685483128720932  , .03133470022713907053685483128720932  , .03133470022713907053685483128720932  ,
     .02557767565869803126167879855899982  , .02557767565869803126167879855899982  , .02557767565869803126167879855899982  ,
     .07782754100477427931673935629940396  , .07782754100477427931673935629940396  , .07782754100477427931673935629940396  ,
     .07964773892721025303289177426404527  , .07964773892721025303289177426404527  , .07964773892721025303289177426404527  ,
     .04328353937728937728937728937728938  , .04328353937728937728937728937728938  , .04328353937728937728937728937728938  , .04328353937728937728937728937728938  , .04328353937728937728937728937728938  , .04328353937728937728937728937728938  
}

Definition at line 535 of file quad.c.

                                 {
    Dup3(.09713579628279883381924198250728863),
    Dup21(.03133470022713907053685483128720932),
    Dup21(.02557767565869803126167879855899982),
    Dup21(.07782754100477427931673935629940396),
    Dup21(.07964773892721025303289177426404527),
    Dup111(.04328353937728937728937728937728938)
};

QUAD_3D_P10_

QUAD QUAD_3D_P10_

Initial value:

= {
    "3D P10",           
    3,              
    10,             
     (sizeof(QUAD_3D_P10_wts) / (sizeof(QUAD_3D_P10_wts[0]))) , 
    QUAD_3D_P10_pts,        
    QUAD_3D_P10_wts,        
    -1              
}

Definition at line 2052 of file quad.c.

                    {
    "3D P10",           /* name */
    3,              /* dim */
    10,             /* order */
    Length(QUAD_3D_P10_wts),    /* npoints = 79 */
    QUAD_3D_P10_pts,        /* points */
    QUAD_3D_P10_wts,        /* weights */
    -1              /* id */
};

QUAD_3D_P10_pts

double QUAD_3D_P10_pts[(sizeof(QUAD_3D_P10_wts)/(sizeof(QUAD_3D_P10_wts[0]))) *4]

static

Initial value:

= {
     0.25  , 0.25  , 0.25  , 0.25  ,
     1.  - 3.  *( .11425191803006935688146412277598412  ), .11425191803006935688146412277598412  , .11425191803006935688146412277598412  , .11425191803006935688146412277598412  ,   .11425191803006935688146412277598412  , 1.  - 3.  *( .11425191803006935688146412277598412  ), .11425191803006935688146412277598412  , .11425191803006935688146412277598412  ,   .11425191803006935688146412277598412  , .11425191803006935688146412277598412  , 1.  - 3.  *( .11425191803006935688146412277598412  ), .11425191803006935688146412277598412  ,   .11425191803006935688146412277598412  , .11425191803006935688146412277598412  , .11425191803006935688146412277598412  , 1.  - 3.  *( .11425191803006935688146412277598412  ),
     1.  - 3.  *( .01063790234539248531264164411274776  ), .01063790234539248531264164411274776  , .01063790234539248531264164411274776  , .01063790234539248531264164411274776  ,   .01063790234539248531264164411274776  , 1.  - 3.  *( .01063790234539248531264164411274776  ), .01063790234539248531264164411274776  , .01063790234539248531264164411274776  ,   .01063790234539248531264164411274776  , .01063790234539248531264164411274776  , 1.  - 3.  *( .01063790234539248531264164411274776  ), .01063790234539248531264164411274776  ,   .01063790234539248531264164411274776  , .01063790234539248531264164411274776  , .01063790234539248531264164411274776  , 1.  - 3.  *( .01063790234539248531264164411274776  ),
     1.  - 3.  *( .31274070833535645859816704980806110  ), .31274070833535645859816704980806110  , .31274070833535645859816704980806110  , .31274070833535645859816704980806110  ,   .31274070833535645859816704980806110  , 1.  - 3.  *( .31274070833535645859816704980806110  ), .31274070833535645859816704980806110  , .31274070833535645859816704980806110  ,   .31274070833535645859816704980806110  , .31274070833535645859816704980806110  , 1.  - 3.  *( .31274070833535645859816704980806110  ), .31274070833535645859816704980806110  ,   .31274070833535645859816704980806110  , .31274070833535645859816704980806110  , .31274070833535645859816704980806110  , 1.  - 3.  *( .31274070833535645859816704980806110  ),
     .01631296303281644000000000000000000  , .01631296303281644000000000000000000  , .5  -( .01631296303281644000000000000000000  ), .5  -( .01631296303281644000000000000000000  ),   .01631296303281644000000000000000000  , .5  -( .01631296303281644000000000000000000  ), .01631296303281644000000000000000000  , .5  -( .01631296303281644000000000000000000  ),   .01631296303281644000000000000000000  , .5  -( .01631296303281644000000000000000000  ), .5  -( .01631296303281644000000000000000000  ), .01631296303281644000000000000000000  ,   .5  -( .01631296303281644000000000000000000  ), .01631296303281644000000000000000000  , .5  -( .01631296303281644000000000000000000  ), .01631296303281644000000000000000000  ,   .5  -( .01631296303281644000000000000000000  ), .01631296303281644000000000000000000  , .01631296303281644000000000000000000  , .5  -( .01631296303281644000000000000000000  ),   .5  -( .01631296303281644000000000000000000  ), .5  -( .01631296303281644000000000000000000  ), .01631296303281644000000000000000000  , .01631296303281644000000000000000000  ,
     .03430622963180452385835196582344460  , .03430622963180452385835196582344460  , .59830121060139461905983787517050400  , 1.  -( .03430622963180452385835196582344460  )-( .03430622963180452385835196582344460  )-( .59830121060139461905983787517050400  ),   .03430622963180452385835196582344460  , .03430622963180452385835196582344460  , 1.  -( .03430622963180452385835196582344460  )-( .03430622963180452385835196582344460  )-( .59830121060139461905983787517050400  ), .59830121060139461905983787517050400  ,   .03430622963180452385835196582344460  , .59830121060139461905983787517050400  , .03430622963180452385835196582344460  , 1.  -( .03430622963180452385835196582344460  )-( .03430622963180452385835196582344460  )-( .59830121060139461905983787517050400  ),   .03430622963180452385835196582344460  , .59830121060139461905983787517050400  , 1.  -( .03430622963180452385835196582344460  )-( .03430622963180452385835196582344460  )-( .59830121060139461905983787517050400  ), .03430622963180452385835196582344460  ,   .03430622963180452385835196582344460  , 1.  -( .03430622963180452385835196582344460  )-( .03430622963180452385835196582344460  )-( .59830121060139461905983787517050400  ), .03430622963180452385835196582344460  , .59830121060139461905983787517050400  ,   .03430622963180452385835196582344460  , 1.  -( .03430622963180452385835196582344460  )-( .03430622963180452385835196582344460  )-( .59830121060139461905983787517050400  ), .59830121060139461905983787517050400  , .03430622963180452385835196582344460  ,   .59830121060139461905983787517050400  , .03430622963180452385835196582344460  , .03430622963180452385835196582344460  , 1.  -( .03430622963180452385835196582344460  )-( .03430622963180452385835196582344460  )-( .59830121060139461905983787517050400  ),   .59830121060139461905983787517050400  , .03430622963180452385835196582344460  , 1.  -( .03430622963180452385835196582344460  )-( .03430622963180452385835196582344460  )-( .59830121060139461905983787517050400  ), .03430622963180452385835196582344460  ,   .59830121060139461905983787517050400  , 1.  -( .03430622963180452385835196582344460  )-( .03430622963180452385835196582344460  )-( .59830121060139461905983787517050400  ), .03430622963180452385835196582344460  , .03430622963180452385835196582344460  ,   1.  -( .03430622963180452385835196582344460  )-( .03430622963180452385835196582344460  )-( .59830121060139461905983787517050400  ), .03430622963180452385835196582344460  , .03430622963180452385835196582344460  , .59830121060139461905983787517050400  ,   1.  -( .03430622963180452385835196582344460  )-( .03430622963180452385835196582344460  )-( .59830121060139461905983787517050400  ), .03430622963180452385835196582344460  , .59830121060139461905983787517050400  , .03430622963180452385835196582344460  ,   1.  -( .03430622963180452385835196582344460  )-( .03430622963180452385835196582344460  )-( .59830121060139461905983787517050400  ), .59830121060139461905983787517050400  , .03430622963180452385835196582344460  , .03430622963180452385835196582344460  ,
     .12346418534551115945916818783743644  , .12346418534551115945916818783743644  , .47120066204746310257913700590727081  , 1.  -( .12346418534551115945916818783743644  )-( .12346418534551115945916818783743644  )-( .47120066204746310257913700590727081  ),   .12346418534551115945916818783743644  , .12346418534551115945916818783743644  , 1.  -( .12346418534551115945916818783743644  )-( .12346418534551115945916818783743644  )-( .47120066204746310257913700590727081  ), .47120066204746310257913700590727081  ,   .12346418534551115945916818783743644  , .47120066204746310257913700590727081  , .12346418534551115945916818783743644  , 1.  -( .12346418534551115945916818783743644  )-( .12346418534551115945916818783743644  )-( .47120066204746310257913700590727081  ),   .12346418534551115945916818783743644  , .47120066204746310257913700590727081  , 1.  -( .12346418534551115945916818783743644  )-( .12346418534551115945916818783743644  )-( .47120066204746310257913700590727081  ), .12346418534551115945916818783743644  ,   .12346418534551115945916818783743644  , 1.  -( .12346418534551115945916818783743644  )-( .12346418534551115945916818783743644  )-( .47120066204746310257913700590727081  ), .12346418534551115945916818783743644  , .47120066204746310257913700590727081  ,   .12346418534551115945916818783743644  , 1.  -( .12346418534551115945916818783743644  )-( .12346418534551115945916818783743644  )-( .47120066204746310257913700590727081  ), .47120066204746310257913700590727081  , .12346418534551115945916818783743644  ,   .47120066204746310257913700590727081  , .12346418534551115945916818783743644  , .12346418534551115945916818783743644  , 1.  -( .12346418534551115945916818783743644  )-( .12346418534551115945916818783743644  )-( .47120066204746310257913700590727081  ),   .47120066204746310257913700590727081  , .12346418534551115945916818783743644  , 1.  -( .12346418534551115945916818783743644  )-( .12346418534551115945916818783743644  )-( .47120066204746310257913700590727081  ), .12346418534551115945916818783743644  ,   .47120066204746310257913700590727081  , 1.  -( .12346418534551115945916818783743644  )-( .12346418534551115945916818783743644  )-( .47120066204746310257913700590727081  ), .12346418534551115945916818783743644  , .12346418534551115945916818783743644  ,   1.  -( .12346418534551115945916818783743644  )-( .12346418534551115945916818783743644  )-( .47120066204746310257913700590727081  ), .12346418534551115945916818783743644  , .12346418534551115945916818783743644  , .47120066204746310257913700590727081  ,   1.  -( .12346418534551115945916818783743644  )-( .12346418534551115945916818783743644  )-( .47120066204746310257913700590727081  ), .12346418534551115945916818783743644  , .47120066204746310257913700590727081  , .12346418534551115945916818783743644  ,   1.  -( .12346418534551115945916818783743644  )-( .12346418534551115945916818783743644  )-( .47120066204746310257913700590727081  ), .47120066204746310257913700590727081  , .12346418534551115945916818783743644  , .12346418534551115945916818783743644  ,
     .40991962933181117418479812480531207  , .40991962933181117418479812480531207  , .16546413290740130923509687990363569  , 1.  -( .40991962933181117418479812480531207  )-( .40991962933181117418479812480531207  )-( .16546413290740130923509687990363569  ),   .40991962933181117418479812480531207  , .40991962933181117418479812480531207  , 1.  -( .40991962933181117418479812480531207  )-( .40991962933181117418479812480531207  )-( .16546413290740130923509687990363569  ), .16546413290740130923509687990363569  ,   .40991962933181117418479812480531207  , .16546413290740130923509687990363569  , .40991962933181117418479812480531207  , 1.  -( .40991962933181117418479812480531207  )-( .40991962933181117418479812480531207  )-( .16546413290740130923509687990363569  ),   .40991962933181117418479812480531207  , .16546413290740130923509687990363569  , 1.  -( .40991962933181117418479812480531207  )-( .40991962933181117418479812480531207  )-( .16546413290740130923509687990363569  ), .40991962933181117418479812480531207  ,   .40991962933181117418479812480531207  , 1.  -( .40991962933181117418479812480531207  )-( .40991962933181117418479812480531207  )-( .16546413290740130923509687990363569  ), .40991962933181117418479812480531207  , .16546413290740130923509687990363569  ,   .40991962933181117418479812480531207  , 1.  -( .40991962933181117418479812480531207  )-( .40991962933181117418479812480531207  )-( .16546413290740130923509687990363569  ), .16546413290740130923509687990363569  , .40991962933181117418479812480531207  ,   .16546413290740130923509687990363569  , .40991962933181117418479812480531207  , .40991962933181117418479812480531207  , 1.  -( .40991962933181117418479812480531207  )-( .40991962933181117418479812480531207  )-( .16546413290740130923509687990363569  ),   .16546413290740130923509687990363569  , .40991962933181117418479812480531207  , 1.  -( .40991962933181117418479812480531207  )-( .40991962933181117418479812480531207  )-( .16546413290740130923509687990363569  ), .40991962933181117418479812480531207  ,   .16546413290740130923509687990363569  , 1.  -( .40991962933181117418479812480531207  )-( .40991962933181117418479812480531207  )-( .16546413290740130923509687990363569  ), .40991962933181117418479812480531207  , .40991962933181117418479812480531207  ,   1.  -( .40991962933181117418479812480531207  )-( .40991962933181117418479812480531207  )-( .16546413290740130923509687990363569  ), .40991962933181117418479812480531207  , .40991962933181117418479812480531207  , .16546413290740130923509687990363569  ,   1.  -( .40991962933181117418479812480531207  )-( .40991962933181117418479812480531207  )-( .16546413290740130923509687990363569  ), .40991962933181117418479812480531207  , .16546413290740130923509687990363569  , .40991962933181117418479812480531207  ,   1.  -( .40991962933181117418479812480531207  )-( .40991962933181117418479812480531207  )-( .16546413290740130923509687990363569  ), .16546413290740130923509687990363569  , .40991962933181117418479812480531207  , .40991962933181117418479812480531207  ,
     .17397243903011716743177479785668929  , .17397243903011716743177479785668929  , .62916375300275643773181882027844514  , 1.  -( .17397243903011716743177479785668929  )-( .17397243903011716743177479785668929  )-( .62916375300275643773181882027844514  ),   .17397243903011716743177479785668929  , .17397243903011716743177479785668929  , 1.  -( .17397243903011716743177479785668929  )-( .17397243903011716743177479785668929  )-( .62916375300275643773181882027844514  ), .62916375300275643773181882027844514  ,   .17397243903011716743177479785668929  , .62916375300275643773181882027844514  , .17397243903011716743177479785668929  , 1.  -( .17397243903011716743177479785668929  )-( .17397243903011716743177479785668929  )-( .62916375300275643773181882027844514  ),   .17397243903011716743177479785668929  , .62916375300275643773181882027844514  , 1.  -( .17397243903011716743177479785668929  )-( .17397243903011716743177479785668929  )-( .62916375300275643773181882027844514  ), .17397243903011716743177479785668929  ,   .17397243903011716743177479785668929  , 1.  -( .17397243903011716743177479785668929  )-( .17397243903011716743177479785668929  )-( .62916375300275643773181882027844514  ), .17397243903011716743177479785668929  , .62916375300275643773181882027844514  ,   .17397243903011716743177479785668929  , 1.  -( .17397243903011716743177479785668929  )-( .17397243903011716743177479785668929  )-( .62916375300275643773181882027844514  ), .62916375300275643773181882027844514  , .17397243903011716743177479785668929  ,   .62916375300275643773181882027844514  , .17397243903011716743177479785668929  , .17397243903011716743177479785668929  , 1.  -( .17397243903011716743177479785668929  )-( .17397243903011716743177479785668929  )-( .62916375300275643773181882027844514  ),   .62916375300275643773181882027844514  , .17397243903011716743177479785668929  , 1.  -( .17397243903011716743177479785668929  )-( .17397243903011716743177479785668929  )-( .62916375300275643773181882027844514  ), .17397243903011716743177479785668929  ,   .62916375300275643773181882027844514  , 1.  -( .17397243903011716743177479785668929  )-( .17397243903011716743177479785668929  )-( .62916375300275643773181882027844514  ), .17397243903011716743177479785668929  , .17397243903011716743177479785668929  ,   1.  -( .17397243903011716743177479785668929  )-( .17397243903011716743177479785668929  )-( .62916375300275643773181882027844514  ), .17397243903011716743177479785668929  , .17397243903011716743177479785668929  , .62916375300275643773181882027844514  ,   1.  -( .17397243903011716743177479785668929  )-( .17397243903011716743177479785668929  )-( .62916375300275643773181882027844514  ), .17397243903011716743177479785668929  , .62916375300275643773181882027844514  , .17397243903011716743177479785668929  ,   1.  -( .17397243903011716743177479785668929  )-( .17397243903011716743177479785668929  )-( .62916375300275643773181882027844514  ), .62916375300275643773181882027844514  , .17397243903011716743177479785668929  , .17397243903011716743177479785668929  ,
     .03002157005631784150255786784038011  , .03002157005631784150255786784038011  , .81213056814351208262160080755918730  , 1.  -( .03002157005631784150255786784038011  )-( .03002157005631784150255786784038011  )-( .81213056814351208262160080755918730  ),   .03002157005631784150255786784038011  , .03002157005631784150255786784038011  , 1.  -( .03002157005631784150255786784038011  )-( .03002157005631784150255786784038011  )-( .81213056814351208262160080755918730  ), .81213056814351208262160080755918730  ,   .03002157005631784150255786784038011  , .81213056814351208262160080755918730  , .03002157005631784150255786784038011  , 1.  -( .03002157005631784150255786784038011  )-( .03002157005631784150255786784038011  )-( .81213056814351208262160080755918730  ),   .03002157005631784150255786784038011  , .81213056814351208262160080755918730  , 1.  -( .03002157005631784150255786784038011  )-( .03002157005631784150255786784038011  )-( .81213056814351208262160080755918730  ), .03002157005631784150255786784038011  ,   .03002157005631784150255786784038011  , 1.  -( .03002157005631784150255786784038011  )-( .03002157005631784150255786784038011  )-( .81213056814351208262160080755918730  ), .03002157005631784150255786784038011  , .81213056814351208262160080755918730  ,   .03002157005631784150255786784038011  , 1.  -( .03002157005631784150255786784038011  )-( .03002157005631784150255786784038011  )-( .81213056814351208262160080755918730  ), .81213056814351208262160080755918730  , .03002157005631784150255786784038011  ,   .81213056814351208262160080755918730  , .03002157005631784150255786784038011  , .03002157005631784150255786784038011  , 1.  -( .03002157005631784150255786784038011  )-( .03002157005631784150255786784038011  )-( .81213056814351208262160080755918730  ),   .81213056814351208262160080755918730  , .03002157005631784150255786784038011  , 1.  -( .03002157005631784150255786784038011  )-( .03002157005631784150255786784038011  )-( .81213056814351208262160080755918730  ), .03002157005631784150255786784038011  ,   .81213056814351208262160080755918730  , 1.  -( .03002157005631784150255786784038011  )-( .03002157005631784150255786784038011  )-( .81213056814351208262160080755918730  ), .03002157005631784150255786784038011  , .03002157005631784150255786784038011  ,   1.  -( .03002157005631784150255786784038011  )-( .03002157005631784150255786784038011  )-( .81213056814351208262160080755918730  ), .03002157005631784150255786784038011  , .03002157005631784150255786784038011  , .81213056814351208262160080755918730  ,   1.  -( .03002157005631784150255786784038011  )-( .03002157005631784150255786784038011  )-( .81213056814351208262160080755918730  ), .03002157005631784150255786784038011  , .81213056814351208262160080755918730  , .03002157005631784150255786784038011  ,   1.  -( .03002157005631784150255786784038011  )-( .03002157005631784150255786784038011  )-( .81213056814351208262160080755918730  ), .81213056814351208262160080755918730  , .03002157005631784150255786784038011  , .03002157005631784150255786784038011  
}

Definition at line 2040 of file quad.c.

                                                             {
    Perm4(.25000000000000000000000000000000000),
    Perm31(.11425191803006935688146412277598412),
    Perm31(.01063790234539248531264164411274776),
    Perm31(.31274070833535645859816704980806110),
    Perm22(.01631296303281644000000000000000000),
    Perm211(.03430622963180452385835196582344460,.59830121060139461905983787517050400),
    Perm211(.12346418534551115945916818783743644,.47120066204746310257913700590727081),
    Perm211(.40991962933181117418479812480531207,.16546413290740130923509687990363569),
    Perm211(.17397243903011716743177479785668929,.62916375300275643773181882027844514),
    Perm211(.03002157005631784150255786784038011,.81213056814351208262160080755918730)
};

QUAD_3D_P10_wts

double QUAD_3D_P10_wts[]

static

Initial value:

= {
     .04574189830483037077884770618329337  ,
     .01092727610912416907498417206565671  , .01092727610912416907498417206565671  , .01092727610912416907498417206565671  , .01092727610912416907498417206565671  ,
     .00055352334192264689534558564012282  , .00055352334192264689534558564012282  , .00055352334192264689534558564012282  , .00055352334192264689534558564012282  ,
     .02569337913913269580782688316792080  , .02569337913913269580782688316792080  , .02569337913913269580782688316792080  , .02569337913913269580782688316792080  ,
     .00055387649657283109312967562590035  , .00055387649657283109312967562590035  , .00055387649657283109312967562590035  , .00055387649657283109312967562590035  , .00055387649657283109312967562590035  , .00055387649657283109312967562590035  ,
     .01044842402938294329072628200105773  , .01044842402938294329072628200105773  , .01044842402938294329072628200105773  , .01044842402938294329072628200105773  , .01044842402938294329072628200105773  , .01044842402938294329072628200105773  ,  .01044842402938294329072628200105773  , .01044842402938294329072628200105773  , .01044842402938294329072628200105773  , .01044842402938294329072628200105773  , .01044842402938294329072628200105773  , .01044842402938294329072628200105773  ,
     .02513844602651287118280517785487423  , .02513844602651287118280517785487423  , .02513844602651287118280517785487423  , .02513844602651287118280517785487423  , .02513844602651287118280517785487423  , .02513844602651287118280517785487423  ,  .02513844602651287118280517785487423  , .02513844602651287118280517785487423  , .02513844602651287118280517785487423  , .02513844602651287118280517785487423  , .02513844602651287118280517785487423  , .02513844602651287118280517785487423  ,
     .01178620679249594711782155323755017  , .01178620679249594711782155323755017  , .01178620679249594711782155323755017  , .01178620679249594711782155323755017  , .01178620679249594711782155323755017  , .01178620679249594711782155323755017  ,  .01178620679249594711782155323755017  , .01178620679249594711782155323755017  , .01178620679249594711782155323755017  , .01178620679249594711782155323755017  , .01178620679249594711782155323755017  , .01178620679249594711782155323755017  ,
     .01332022473886650471019828463616468  , .01332022473886650471019828463616468  , .01332022473886650471019828463616468  , .01332022473886650471019828463616468  , .01332022473886650471019828463616468  , .01332022473886650471019828463616468  ,  .01332022473886650471019828463616468  , .01332022473886650471019828463616468  , .01332022473886650471019828463616468  , .01332022473886650471019828463616468  , .01332022473886650471019828463616468  , .01332022473886650471019828463616468  ,
     .00615987577565961666092767531756180  , .00615987577565961666092767531756180  , .00615987577565961666092767531756180  , .00615987577565961666092767531756180  , .00615987577565961666092767531756180  , .00615987577565961666092767531756180  ,  .00615987577565961666092767531756180  , .00615987577565961666092767531756180  , .00615987577565961666092767531756180  , .00615987577565961666092767531756180  , .00615987577565961666092767531756180  , .00615987577565961666092767531756180  
}

Definition at line 2028 of file quad.c.

                                  {
    Dup4(.04574189830483037077884770618329337),
    Dup31(.01092727610912416907498417206565671),
    Dup31(.00055352334192264689534558564012282),
    Dup31(.02569337913913269580782688316792080),
    Dup22(.00055387649657283109312967562590035),
    Dup211(.01044842402938294329072628200105773),
    Dup211(.02513844602651287118280517785487423),
    Dup211(.01178620679249594711782155323755017),
    Dup211(.01332022473886650471019828463616468),
    Dup211(.00615987577565961666092767531756180)
};

QUAD_3D_P11_

QUAD QUAD_3D_P11_

Initial value:

= {
    "3D P11",           
    3,              
    11,             
     (sizeof(QUAD_3D_P11_wts) / (sizeof(QUAD_3D_P11_wts[0]))) , 
    QUAD_3D_P11_pts,        
    QUAD_3D_P11_wts,        
    -1              
}

Definition at line 2092 of file quad.c.

                    {
    "3D P11",           /* name */
    3,              /* dim */
    11,             /* order */
    Length(QUAD_3D_P11_wts),    /* npoints = 96 */
    QUAD_3D_P11_pts,        /* points */
    QUAD_3D_P11_wts,        /* weights */
    -1              /* id */
};

QUAD_3D_P11_pts

double QUAD_3D_P11_pts[(sizeof(QUAD_3D_P11_wts)/(sizeof(QUAD_3D_P11_wts[0]))) *4]

static

Initial value:

= {
     1.  - 3.  *( .12460560449278830000000000000000000  ), .12460560449278830000000000000000000  , .12460560449278830000000000000000000  , .12460560449278830000000000000000000  ,   .12460560449278830000000000000000000  , 1.  - 3.  *( .12460560449278830000000000000000000  ), .12460560449278830000000000000000000  , .12460560449278830000000000000000000  ,   .12460560449278830000000000000000000  , .12460560449278830000000000000000000  , 1.  - 3.  *( .12460560449278830000000000000000000  ), .12460560449278830000000000000000000  ,   .12460560449278830000000000000000000  , .12460560449278830000000000000000000  , .12460560449278830000000000000000000  , 1.  - 3.  *( .12460560449278830000000000000000000  ),
     1.  - 3.  *( .02609630765687464746851542316261877  ), .02609630765687464746851542316261877  , .02609630765687464746851542316261877  , .02609630765687464746851542316261877  ,   .02609630765687464746851542316261877  , 1.  - 3.  *( .02609630765687464746851542316261877  ), .02609630765687464746851542316261877  , .02609630765687464746851542316261877  ,   .02609630765687464746851542316261877  , .02609630765687464746851542316261877  , 1.  - 3.  *( .02609630765687464746851542316261877  ), .02609630765687464746851542316261877  ,   .02609630765687464746851542316261877  , .02609630765687464746851542316261877  , .02609630765687464746851542316261877  , 1.  - 3.  *( .02609630765687464746851542316261877  ),
     1.  - 3.  *( .07193883255798884087330011042809557  ), .07193883255798884087330011042809557  , .07193883255798884087330011042809557  , .07193883255798884087330011042809557  ,   .07193883255798884087330011042809557  , 1.  - 3.  *( .07193883255798884087330011042809557  ), .07193883255798884087330011042809557  , .07193883255798884087330011042809557  ,   .07193883255798884087330011042809557  , .07193883255798884087330011042809557  , 1.  - 3.  *( .07193883255798884087330011042809557  ), .07193883255798884087330011042809557  ,   .07193883255798884087330011042809557  , .07193883255798884087330011042809557  , .07193883255798884087330011042809557  , 1.  - 3.  *( .07193883255798884087330011042809557  ),
     1.  - 3.  *( .32611122454203676937273102302894204  ), .32611122454203676937273102302894204  , .32611122454203676937273102302894204  , .32611122454203676937273102302894204  ,   .32611122454203676937273102302894204  , 1.  - 3.  *( .32611122454203676937273102302894204  ), .32611122454203676937273102302894204  , .32611122454203676937273102302894204  ,   .32611122454203676937273102302894204  , .32611122454203676937273102302894204  , 1.  - 3.  *( .32611122454203676937273102302894204  ), .32611122454203676937273102302894204  ,   .32611122454203676937273102302894204  , .32611122454203676937273102302894204  , .32611122454203676937273102302894204  , 1.  - 3.  *( .32611122454203676937273102302894204  ),
     1.  - 3.  *( .29405882789858127213310307732130217  ), .29405882789858127213310307732130217  , .29405882789858127213310307732130217  , .29405882789858127213310307732130217  ,   .29405882789858127213310307732130217  , 1.  - 3.  *( .29405882789858127213310307732130217  ), .29405882789858127213310307732130217  , .29405882789858127213310307732130217  ,   .29405882789858127213310307732130217  , .29405882789858127213310307732130217  , 1.  - 3.  *( .29405882789858127213310307732130217  ), .29405882789858127213310307732130217  ,   .29405882789858127213310307732130217  , .29405882789858127213310307732130217  , .29405882789858127213310307732130217  , 1.  - 3.  *( .29405882789858127213310307732130217  ),
     1.  - 3.  *( .19271399104965490000000000000000000  ), .19271399104965490000000000000000000  , .19271399104965490000000000000000000  , .19271399104965490000000000000000000  ,   .19271399104965490000000000000000000  , 1.  - 3.  *( .19271399104965490000000000000000000  ), .19271399104965490000000000000000000  , .19271399104965490000000000000000000  ,   .19271399104965490000000000000000000  , .19271399104965490000000000000000000  , 1.  - 3.  *( .19271399104965490000000000000000000  ), .19271399104965490000000000000000000  ,   .19271399104965490000000000000000000  , .19271399104965490000000000000000000  , .19271399104965490000000000000000000  , 1.  - 3.  *( .19271399104965490000000000000000000  ),
     .00047127204692773946587837159205225  , .00047127204692773946587837159205225  , .5  -( .00047127204692773946587837159205225  ), .5  -( .00047127204692773946587837159205225  ),   .00047127204692773946587837159205225  , .5  -( .00047127204692773946587837159205225  ), .00047127204692773946587837159205225  , .5  -( .00047127204692773946587837159205225  ),   .00047127204692773946587837159205225  , .5  -( .00047127204692773946587837159205225  ), .5  -( .00047127204692773946587837159205225  ), .00047127204692773946587837159205225  ,   .5  -( .00047127204692773946587837159205225  ), .00047127204692773946587837159205225  , .5  -( .00047127204692773946587837159205225  ), .00047127204692773946587837159205225  ,   .5  -( .00047127204692773946587837159205225  ), .00047127204692773946587837159205225  , .00047127204692773946587837159205225  , .5  -( .00047127204692773946587837159205225  ),   .5  -( .00047127204692773946587837159205225  ), .5  -( .00047127204692773946587837159205225  ), .00047127204692773946587837159205225  , .00047127204692773946587837159205225  ,
     .10321360207480949336085123341390539  , .10321360207480949336085123341390539  , .5  -( .10321360207480949336085123341390539  ), .5  -( .10321360207480949336085123341390539  ),   .10321360207480949336085123341390539  , .5  -( .10321360207480949336085123341390539  ), .10321360207480949336085123341390539  , .5  -( .10321360207480949336085123341390539  ),   .10321360207480949336085123341390539  , .5  -( .10321360207480949336085123341390539  ), .5  -( .10321360207480949336085123341390539  ), .10321360207480949336085123341390539  ,   .5  -( .10321360207480949336085123341390539  ), .10321360207480949336085123341390539  , .5  -( .10321360207480949336085123341390539  ), .10321360207480949336085123341390539  ,   .5  -( .10321360207480949336085123341390539  ), .10321360207480949336085123341390539  , .10321360207480949336085123341390539  , .5  -( .10321360207480949336085123341390539  ),   .5  -( .10321360207480949336085123341390539  ), .5  -( .10321360207480949336085123341390539  ), .10321360207480949336085123341390539  , .10321360207480949336085123341390539  ,
     .04349989920159741251267172033621503  , .04349989920159741251267172033621503  , .63045319723555591476353398203997141  , 1.  -( .04349989920159741251267172033621503  )-( .04349989920159741251267172033621503  )-( .63045319723555591476353398203997141  ),   .04349989920159741251267172033621503  , .04349989920159741251267172033621503  , 1.  -( .04349989920159741251267172033621503  )-( .04349989920159741251267172033621503  )-( .63045319723555591476353398203997141  ), .63045319723555591476353398203997141  ,   .04349989920159741251267172033621503  , .63045319723555591476353398203997141  , .04349989920159741251267172033621503  , 1.  -( .04349989920159741251267172033621503  )-( .04349989920159741251267172033621503  )-( .63045319723555591476353398203997141  ),   .04349989920159741251267172033621503  , .63045319723555591476353398203997141  , 1.  -( .04349989920159741251267172033621503  )-( .04349989920159741251267172033621503  )-( .63045319723555591476353398203997141  ), .04349989920159741251267172033621503  ,   .04349989920159741251267172033621503  , 1.  -( .04349989920159741251267172033621503  )-( .04349989920159741251267172033621503  )-( .63045319723555591476353398203997141  ), .04349989920159741251267172033621503  , .63045319723555591476353398203997141  ,   .04349989920159741251267172033621503  , 1.  -( .04349989920159741251267172033621503  )-( .04349989920159741251267172033621503  )-( .63045319723555591476353398203997141  ), .63045319723555591476353398203997141  , .04349989920159741251267172033621503  ,   .63045319723555591476353398203997141  , .04349989920159741251267172033621503  , .04349989920159741251267172033621503  , 1.  -( .04349989920159741251267172033621503  )-( .04349989920159741251267172033621503  )-( .63045319723555591476353398203997141  ),   .63045319723555591476353398203997141  , .04349989920159741251267172033621503  , 1.  -( .04349989920159741251267172033621503  )-( .04349989920159741251267172033621503  )-( .63045319723555591476353398203997141  ), .04349989920159741251267172033621503  ,   .63045319723555591476353398203997141  , 1.  -( .04349989920159741251267172033621503  )-( .04349989920159741251267172033621503  )-( .63045319723555591476353398203997141  ), .04349989920159741251267172033621503  , .04349989920159741251267172033621503  ,   1.  -( .04349989920159741251267172033621503  )-( .04349989920159741251267172033621503  )-( .63045319723555591476353398203997141  ), .04349989920159741251267172033621503  , .04349989920159741251267172033621503  , .63045319723555591476353398203997141  ,   1.  -( .04349989920159741251267172033621503  )-( .04349989920159741251267172033621503  )-( .63045319723555591476353398203997141  ), .04349989920159741251267172033621503  , .63045319723555591476353398203997141  , .04349989920159741251267172033621503  ,   1.  -( .04349989920159741251267172033621503  )-( .04349989920159741251267172033621503  )-( .63045319723555591476353398203997141  ), .63045319723555591476353398203997141  , .04349989920159741251267172033621503  , .04349989920159741251267172033621503  ,
     .01414839289422299290755441603794058  , .01414839289422299290755441603794058  , .82491678632147090000000000000000000  , 1.  -( .01414839289422299290755441603794058  )-( .01414839289422299290755441603794058  )-( .82491678632147090000000000000000000  ),   .01414839289422299290755441603794058  , .01414839289422299290755441603794058  , 1.  -( .01414839289422299290755441603794058  )-( .01414839289422299290755441603794058  )-( .82491678632147090000000000000000000  ), .82491678632147090000000000000000000  ,   .01414839289422299290755441603794058  , .82491678632147090000000000000000000  , .01414839289422299290755441603794058  , 1.  -( .01414839289422299290755441603794058  )-( .01414839289422299290755441603794058  )-( .82491678632147090000000000000000000  ),   .01414839289422299290755441603794058  , .82491678632147090000000000000000000  , 1.  -( .01414839289422299290755441603794058  )-( .01414839289422299290755441603794058  )-( .82491678632147090000000000000000000  ), .01414839289422299290755441603794058  ,   .01414839289422299290755441603794058  , 1.  -( .01414839289422299290755441603794058  )-( .01414839289422299290755441603794058  )-( .82491678632147090000000000000000000  ), .01414839289422299290755441603794058  , .82491678632147090000000000000000000  ,   .01414839289422299290755441603794058  , 1.  -( .01414839289422299290755441603794058  )-( .01414839289422299290755441603794058  )-( .82491678632147090000000000000000000  ), .82491678632147090000000000000000000  , .01414839289422299290755441603794058  ,   .82491678632147090000000000000000000  , .01414839289422299290755441603794058  , .01414839289422299290755441603794058  , 1.  -( .01414839289422299290755441603794058  )-( .01414839289422299290755441603794058  )-( .82491678632147090000000000000000000  ),   .82491678632147090000000000000000000  , .01414839289422299290755441603794058  , 1.  -( .01414839289422299290755441603794058  )-( .01414839289422299290755441603794058  )-( .82491678632147090000000000000000000  ), .01414839289422299290755441603794058  ,   .82491678632147090000000000000000000  , 1.  -( .01414839289422299290755441603794058  )-( .01414839289422299290755441603794058  )-( .82491678632147090000000000000000000  ), .01414839289422299290755441603794058  , .01414839289422299290755441603794058  ,   1.  -( .01414839289422299290755441603794058  )-( .01414839289422299290755441603794058  )-( .82491678632147090000000000000000000  ), .01414839289422299290755441603794058  , .01414839289422299290755441603794058  , .82491678632147090000000000000000000  ,   1.  -( .01414839289422299290755441603794058  )-( .01414839289422299290755441603794058  )-( .82491678632147090000000000000000000  ), .01414839289422299290755441603794058  , .82491678632147090000000000000000000  , .01414839289422299290755441603794058  ,   1.  -( .01414839289422299290755441603794058  )-( .01414839289422299290755441603794058  )-( .82491678632147090000000000000000000  ), .82491678632147090000000000000000000  , .01414839289422299290755441603794058  , .01414839289422299290755441603794058  ,
     .21646077368258425486341884576246642  , .21646077368258425486341884576246642  , .52711130286496480000000000000000000  , 1.  -( .21646077368258425486341884576246642  )-( .21646077368258425486341884576246642  )-( .52711130286496480000000000000000000  ),   .21646077368258425486341884576246642  , .21646077368258425486341884576246642  , 1.  -( .21646077368258425486341884576246642  )-( .21646077368258425486341884576246642  )-( .52711130286496480000000000000000000  ), .52711130286496480000000000000000000  ,   .21646077368258425486341884576246642  , .52711130286496480000000000000000000  , .21646077368258425486341884576246642  , 1.  -( .21646077368258425486341884576246642  )-( .21646077368258425486341884576246642  )-( .52711130286496480000000000000000000  ),   .21646077368258425486341884576246642  , .52711130286496480000000000000000000  , 1.  -( .21646077368258425486341884576246642  )-( .21646077368258425486341884576246642  )-( .52711130286496480000000000000000000  ), .21646077368258425486341884576246642  ,   .21646077368258425486341884576246642  , 1.  -( .21646077368258425486341884576246642  )-( .21646077368258425486341884576246642  )-( .52711130286496480000000000000000000  ), .21646077368258425486341884576246642  , .52711130286496480000000000000000000  ,   .21646077368258425486341884576246642  , 1.  -( .21646077368258425486341884576246642  )-( .21646077368258425486341884576246642  )-( .52711130286496480000000000000000000  ), .52711130286496480000000000000000000  , .21646077368258425486341884576246642  ,   .52711130286496480000000000000000000  , .21646077368258425486341884576246642  , .21646077368258425486341884576246642  , 1.  -( .21646077368258425486341884576246642  )-( .21646077368258425486341884576246642  )-( .52711130286496480000000000000000000  ),   .52711130286496480000000000000000000  , .21646077368258425486341884576246642  , 1.  -( .21646077368258425486341884576246642  )-( .21646077368258425486341884576246642  )-( .52711130286496480000000000000000000  ), .21646077368258425486341884576246642  ,   .52711130286496480000000000000000000  , 1.  -( .21646077368258425486341884576246642  )-( .21646077368258425486341884576246642  )-( .52711130286496480000000000000000000  ), .21646077368258425486341884576246642  , .21646077368258425486341884576246642  ,   1.  -( .21646077368258425486341884576246642  )-( .21646077368258425486341884576246642  )-( .52711130286496480000000000000000000  ), .21646077368258425486341884576246642  , .21646077368258425486341884576246642  , .52711130286496480000000000000000000  ,   1.  -( .21646077368258425486341884576246642  )-( .21646077368258425486341884576246642  )-( .52711130286496480000000000000000000  ), .21646077368258425486341884576246642  , .52711130286496480000000000000000000  , .21646077368258425486341884576246642  ,   1.  -( .21646077368258425486341884576246642  )-( .21646077368258425486341884576246642  )-( .52711130286496480000000000000000000  ), .52711130286496480000000000000000000  , .21646077368258425486341884576246642  , .21646077368258425486341884576246642  ,
     .13301884366834711587538262083530116  , .13301884366834711587538262083530116  , .73318551371398651551736762818473584  , 1.  -( .13301884366834711587538262083530116  )-( .13301884366834711587538262083530116  )-( .73318551371398651551736762818473584  ),   .13301884366834711587538262083530116  , .13301884366834711587538262083530116  , 1.  -( .13301884366834711587538262083530116  )-( .13301884366834711587538262083530116  )-( .73318551371398651551736762818473584  ), .73318551371398651551736762818473584  ,   .13301884366834711587538262083530116  , .73318551371398651551736762818473584  , .13301884366834711587538262083530116  , 1.  -( .13301884366834711587538262083530116  )-( .13301884366834711587538262083530116  )-( .73318551371398651551736762818473584  ),   .13301884366834711587538262083530116  , .73318551371398651551736762818473584  , 1.  -( .13301884366834711587538262083530116  )-( .13301884366834711587538262083530116  )-( .73318551371398651551736762818473584  ), .13301884366834711587538262083530116  ,   .13301884366834711587538262083530116  , 1.  -( .13301884366834711587538262083530116  )-( .13301884366834711587538262083530116  )-( .73318551371398651551736762818473584  ), .13301884366834711587538262083530116  , .73318551371398651551736762818473584  ,   .13301884366834711587538262083530116  , 1.  -( .13301884366834711587538262083530116  )-( .13301884366834711587538262083530116  )-( .73318551371398651551736762818473584  ), .73318551371398651551736762818473584  , .13301884366834711587538262083530116  ,   .73318551371398651551736762818473584  , .13301884366834711587538262083530116  , .13301884366834711587538262083530116  , 1.  -( .13301884366834711587538262083530116  )-( .13301884366834711587538262083530116  )-( .73318551371398651551736762818473584  ),   .73318551371398651551736762818473584  , .13301884366834711587538262083530116  , 1.  -( .13301884366834711587538262083530116  )-( .13301884366834711587538262083530116  )-( .73318551371398651551736762818473584  ), .13301884366834711587538262083530116  ,   .73318551371398651551736762818473584  , 1.  -( .13301884366834711587538262083530116  )-( .13301884366834711587538262083530116  )-( .73318551371398651551736762818473584  ), .13301884366834711587538262083530116  , .13301884366834711587538262083530116  ,   1.  -( .13301884366834711587538262083530116  )-( .13301884366834711587538262083530116  )-( .73318551371398651551736762818473584  ), .13301884366834711587538262083530116  , .13301884366834711587538262083530116  , .73318551371398651551736762818473584  ,   1.  -( .13301884366834711587538262083530116  )-( .13301884366834711587538262083530116  )-( .73318551371398651551736762818473584  ), .13301884366834711587538262083530116  , .73318551371398651551736762818473584  , .13301884366834711587538262083530116  ,   1.  -( .13301884366834711587538262083530116  )-( .13301884366834711587538262083530116  )-( .73318551371398651551736762818473584  ), .73318551371398651551736762818473584  , .13301884366834711587538262083530116  , .13301884366834711587538262083530116  ,
     .44054756810613723082959230959880706  , .44054756810613723082959230959880706  , .11506799584377921703650823955291194  , 1.  -( .44054756810613723082959230959880706  )-( .44054756810613723082959230959880706  )-( .11506799584377921703650823955291194  ),   .44054756810613723082959230959880706  , .44054756810613723082959230959880706  , 1.  -( .44054756810613723082959230959880706  )-( .44054756810613723082959230959880706  )-( .11506799584377921703650823955291194  ), .11506799584377921703650823955291194  ,   .44054756810613723082959230959880706  , .11506799584377921703650823955291194  , .44054756810613723082959230959880706  , 1.  -( .44054756810613723082959230959880706  )-( .44054756810613723082959230959880706  )-( .11506799584377921703650823955291194  ),   .44054756810613723082959230959880706  , .11506799584377921703650823955291194  , 1.  -( .44054756810613723082959230959880706  )-( .44054756810613723082959230959880706  )-( .11506799584377921703650823955291194  ), .44054756810613723082959230959880706  ,   .44054756810613723082959230959880706  , 1.  -( .44054756810613723082959230959880706  )-( .44054756810613723082959230959880706  )-( .11506799584377921703650823955291194  ), .44054756810613723082959230959880706  , .11506799584377921703650823955291194  ,   .44054756810613723082959230959880706  , 1.  -( .44054756810613723082959230959880706  )-( .44054756810613723082959230959880706  )-( .11506799584377921703650823955291194  ), .11506799584377921703650823955291194  , .44054756810613723082959230959880706  ,   .11506799584377921703650823955291194  , .44054756810613723082959230959880706  , .44054756810613723082959230959880706  , 1.  -( .44054756810613723082959230959880706  )-( .44054756810613723082959230959880706  )-( .11506799584377921703650823955291194  ),   .11506799584377921703650823955291194  , .44054756810613723082959230959880706  , 1.  -( .44054756810613723082959230959880706  )-( .44054756810613723082959230959880706  )-( .11506799584377921703650823955291194  ), .44054756810613723082959230959880706  ,   .11506799584377921703650823955291194  , 1.  -( .44054756810613723082959230959880706  )-( .44054756810613723082959230959880706  )-( .11506799584377921703650823955291194  ), .44054756810613723082959230959880706  , .44054756810613723082959230959880706  ,   1.  -( .44054756810613723082959230959880706  )-( .44054756810613723082959230959880706  )-( .11506799584377921703650823955291194  ), .44054756810613723082959230959880706  , .44054756810613723082959230959880706  , .11506799584377921703650823955291194  ,   1.  -( .44054756810613723082959230959880706  )-( .44054756810613723082959230959880706  )-( .11506799584377921703650823955291194  ), .44054756810613723082959230959880706  , .11506799584377921703650823955291194  , .44054756810613723082959230959880706  ,   1.  -( .44054756810613723082959230959880706  )-( .44054756810613723082959230959880706  )-( .11506799584377921703650823955291194  ), .11506799584377921703650823955291194  , .44054756810613723082959230959880706  , .44054756810613723082959230959880706  
}

Definition at line 2077 of file quad.c.

                                                             {
    Perm31(.12460560449278830000000000000000000),
    Perm31(.02609630765687464746851542316261877),
    Perm31(.07193883255798884087330011042809557),
    Perm31(.32611122454203676937273102302894204),
    Perm31(.29405882789858127213310307732130217),
    Perm31(.19271399104965490000000000000000000),
    Perm22(.00047127204692773946587837159205225),
    Perm22(.10321360207480949336085123341390539),
    Perm211(.04349989920159741251267172033621503,.63045319723555591476353398203997141),
    Perm211(.01414839289422299290755441603794058,.82491678632147090000000000000000000),
    Perm211(.21646077368258425486341884576246642,.52711130286496480000000000000000000),
    Perm211(.13301884366834711587538262083530116,.73318551371398651551736762818473584),
    Perm211(.44054756810613723082959230959880706,.11506799584377921703650823955291194)
};

QUAD_3D_P11_wts

double QUAD_3D_P11_wts[]

static

Initial value:

= {
     .01612698613577620369120244222737879  , .01612698613577620369120244222737879  , .01612698613577620369120244222737879  , .01612698613577620369120244222737879  ,
     .00178872341812357138976990346996962  , .00178872341812357138976990346996962  , .00178872341812357138976990346996962  , .00178872341812357138976990346996962  ,
     .00847529348343123401863799968389086  , .00847529348343123401863799968389086  , .00847529348343123401863799968389086  , .00847529348343123401863799968389086  ,
     .01238021263944669050859562763135516  , .01238021263944669050859562763135516  , .01238021263944669050859562763135516  , .01238021263944669050859562763135516  ,
     .02205586697199415746140963638568037  , .02205586697199415746140963638568037  , .02205586697199415746140963638568037  , .02205586697199415746140963638568037  ,
     .02295765467664274421265594265203307  , .02295765467664274421265594265203307  , .02295765467664274421265594265203307  , .02295765467664274421265594265203307  ,
     .00120553827014535727045055662252294  , .00120553827014535727045055662252294  , .00120553827014535727045055662252294  , .00120553827014535727045055662252294  , .00120553827014535727045055662252294  , .00120553827014535727045055662252294  ,
     .02479381575164443454447803302296997  , .02479381575164443454447803302296997  , .02479381575164443454447803302296997  , .02479381575164443454447803302296997  , .02479381575164443454447803302296997  , .02479381575164443454447803302296997  ,
     .01203878836480353606935457416590660  , .01203878836480353606935457416590660  , .01203878836480353606935457416590660  , .01203878836480353606935457416590660  , .01203878836480353606935457416590660  , .01203878836480353606935457416590660  ,  .01203878836480353606935457416590660  , .01203878836480353606935457416590660  , .01203878836480353606935457416590660  , .01203878836480353606935457416590660  , .01203878836480353606935457416590660  , .01203878836480353606935457416590660  ,
     .00189370204498242146248858917618493  , .00189370204498242146248858917618493  , .00189370204498242146248858917618493  , .00189370204498242146248858917618493  , .00189370204498242146248858917618493  , .00189370204498242146248858917618493  ,  .00189370204498242146248858917618493  , .00189370204498242146248858917618493  , .00189370204498242146248858917618493  , .00189370204498242146248858917618493  , .00189370204498242146248858917618493  , .00189370204498242146248858917618493  ,
     .01838752922255814184581020943433469  , .01838752922255814184581020943433469  , .01838752922255814184581020943433469  , .01838752922255814184581020943433469  , .01838752922255814184581020943433469  , .01838752922255814184581020943433469  ,  .01838752922255814184581020943433469  , .01838752922255814184581020943433469  , .01838752922255814184581020943433469  , .01838752922255814184581020943433469  , .01838752922255814184581020943433469  , .01838752922255814184581020943433469  ,
     .00375249249801662461193260176157591  , .00375249249801662461193260176157591  , .00375249249801662461193260176157591  , .00375249249801662461193260176157591  , .00375249249801662461193260176157591  , .00375249249801662461193260176157591  ,  .00375249249801662461193260176157591  , .00375249249801662461193260176157591  , .00375249249801662461193260176157591  , .00375249249801662461193260176157591  , .00375249249801662461193260176157591  , .00375249249801662461193260176157591  ,
     .00633289841693951300885921328914879  , .00633289841693951300885921328914879  , .00633289841693951300885921328914879  , .00633289841693951300885921328914879  , .00633289841693951300885921328914879  , .00633289841693951300885921328914879  ,  .00633289841693951300885921328914879  , .00633289841693951300885921328914879  , .00633289841693951300885921328914879  , .00633289841693951300885921328914879  , .00633289841693951300885921328914879  , .00633289841693951300885921328914879  
}

Definition at line 2062 of file quad.c.

                                  {
    Dup31(.01612698613577620369120244222737879),
    Dup31(.00178872341812357138976990346996962),
    Dup31(.00847529348343123401863799968389086),
    Dup31(.01238021263944669050859562763135516),
    Dup31(.02205586697199415746140963638568037),
    Dup31(.02295765467664274421265594265203307),
    Dup22(.00120553827014535727045055662252294),
    Dup22(.02479381575164443454447803302296997),
    Dup211(.01203878836480353606935457416590660),
    Dup211(.00189370204498242146248858917618493),
    Dup211(.01838752922255814184581020943433469),
    Dup211(.00375249249801662461193260176157591),
    Dup211(.00633289841693951300885921328914879)
};

QUAD_3D_P12_

QUAD QUAD_3D_P12_

Initial value:

= {
    "3D P12",           
    3,              
    12,             
     (sizeof(QUAD_3D_P12_wts) / (sizeof(QUAD_3D_P12_wts[0]))) , 
    QUAD_3D_P12_pts,        
    QUAD_3D_P12_wts,        
    -1              
}

Definition at line 2183 of file quad.c.

                    {
    "3D P12",           /* name */
    3,              /* dim */
    12,             /* order */
    Length(QUAD_3D_P12_wts),    /* npoints = 127 */
    QUAD_3D_P12_pts,        /* points */
    QUAD_3D_P12_wts,        /* weights */
    -1              /* id */
};

QUAD_3D_P12_pts

double QUAD_3D_P12_pts[(sizeof(QUAD_3D_P12_wts)/(sizeof(QUAD_3D_P12_wts[0]))) *4]

static

Initial value:

= {
     0.25  , 0.25  , 0.25  , 0.25  ,
     1.  - 3.  *( .19318721110347230000000000000000000  ), .19318721110347230000000000000000000  , .19318721110347230000000000000000000  , .19318721110347230000000000000000000  ,   .19318721110347230000000000000000000  , 1.  - 3.  *( .19318721110347230000000000000000000  ), .19318721110347230000000000000000000  , .19318721110347230000000000000000000  ,   .19318721110347230000000000000000000  , .19318721110347230000000000000000000  , 1.  - 3.  *( .19318721110347230000000000000000000  ), .19318721110347230000000000000000000  ,   .19318721110347230000000000000000000  , .19318721110347230000000000000000000  , .19318721110347230000000000000000000  , 1.  - 3.  *( .19318721110347230000000000000000000  ),
     1.  - 3.  *( .01811701371436566878506928822499717  ), .01811701371436566878506928822499717  , .01811701371436566878506928822499717  , .01811701371436566878506928822499717  ,   .01811701371436566878506928822499717  , 1.  - 3.  *( .01811701371436566878506928822499717  ), .01811701371436566878506928822499717  , .01811701371436566878506928822499717  ,   .01811701371436566878506928822499717  , .01811701371436566878506928822499717  , 1.  - 3.  *( .01811701371436566878506928822499717  ), .01811701371436566878506928822499717  ,   .01811701371436566878506928822499717  , .01811701371436566878506928822499717  , .01811701371436566878506928822499717  , 1.  - 3.  *( .01811701371436566878506928822499717  ),
     1.  - 3.  *( .10700751831426066518406159227423033  ), .10700751831426066518406159227423033  , .10700751831426066518406159227423033  , .10700751831426066518406159227423033  ,   .10700751831426066518406159227423033  , 1.  - 3.  *( .10700751831426066518406159227423033  ), .10700751831426066518406159227423033  , .10700751831426066518406159227423033  ,   .10700751831426066518406159227423033  , .10700751831426066518406159227423033  , 1.  - 3.  *( .10700751831426066518406159227423033  ), .10700751831426066518406159227423033  ,   .10700751831426066518406159227423033  , .10700751831426066518406159227423033  , .10700751831426066518406159227423033  , 1.  - 3.  *( .10700751831426066518406159227423033  ),
     1.  - 3.  *( .29936173715970702940603127680004538  ), .29936173715970702940603127680004538  , .29936173715970702940603127680004538  , .29936173715970702940603127680004538  ,   .29936173715970702940603127680004538  , 1.  - 3.  *( .29936173715970702940603127680004538  ), .29936173715970702940603127680004538  , .29936173715970702940603127680004538  ,   .29936173715970702940603127680004538  , .29936173715970702940603127680004538  , 1.  - 3.  *( .29936173715970702940603127680004538  ), .29936173715970702940603127680004538  ,   .29936173715970702940603127680004538  , .29936173715970702940603127680004538  , .29936173715970702940603127680004538  , 1.  - 3.  *( .29936173715970702940603127680004538  ),
     1.  - 3.  *( .33333033333333333042835213613025030  ), .33333033333333333042835213613025030  , .33333033333333333042835213613025030  , .33333033333333333042835213613025030  ,   .33333033333333333042835213613025030  , 1.  - 3.  *( .33333033333333333042835213613025030  ), .33333033333333333042835213613025030  , .33333033333333333042835213613025030  ,   .33333033333333333042835213613025030  , .33333033333333333042835213613025030  , 1.  - 3.  *( .33333033333333333042835213613025030  ), .33333033333333333042835213613025030  ,   .33333033333333333042835213613025030  , .33333033333333333042835213613025030  , .33333033333333333042835213613025030  , 1.  - 3.  *( .33333033333333333042835213613025030  ),
     1.  - 3.  *( .16575369007421640000000000000000000  ), .16575369007421640000000000000000000  , .16575369007421640000000000000000000  , .16575369007421640000000000000000000  ,   .16575369007421640000000000000000000  , 1.  - 3.  *( .16575369007421640000000000000000000  ), .16575369007421640000000000000000000  , .16575369007421640000000000000000000  ,   .16575369007421640000000000000000000  , .16575369007421640000000000000000000  , 1.  - 3.  *( .16575369007421640000000000000000000  ), .16575369007421640000000000000000000  ,   .16575369007421640000000000000000000  , .16575369007421640000000000000000000  , .16575369007421640000000000000000000  , 1.  - 3.  *( .16575369007421640000000000000000000  ),
     .04009986052352575650366980228640728  , .04009986052352575650366980228640728  , .5  -( .04009986052352575650366980228640728  ), .5  -( .04009986052352575650366980228640728  ),   .04009986052352575650366980228640728  , .5  -( .04009986052352575650366980228640728  ), .04009986052352575650366980228640728  , .5  -( .04009986052352575650366980228640728  ),   .04009986052352575650366980228640728  , .5  -( .04009986052352575650366980228640728  ), .5  -( .04009986052352575650366980228640728  ), .04009986052352575650366980228640728  ,   .5  -( .04009986052352575650366980228640728  ), .04009986052352575650366980228640728  , .5  -( .04009986052352575650366980228640728  ), .04009986052352575650366980228640728  ,   .5  -( .04009986052352575650366980228640728  ), .04009986052352575650366980228640728  , .04009986052352575650366980228640728  , .5  -( .04009986052352575650366980228640728  ),   .5  -( .04009986052352575650366980228640728  ), .5  -( .04009986052352575650366980228640728  ), .04009986052352575650366980228640728  , .04009986052352575650366980228640728  ,
     .01951844463761131301132122485607343  , .01951844463761131301132122485607343  , .59982639757597731668263005976738196  , 1.  -( .01951844463761131301132122485607343  )-( .01951844463761131301132122485607343  )-( .59982639757597731668263005976738196  ),   .01951844463761131301132122485607343  , .01951844463761131301132122485607343  , 1.  -( .01951844463761131301132122485607343  )-( .01951844463761131301132122485607343  )-( .59982639757597731668263005976738196  ), .59982639757597731668263005976738196  ,   .01951844463761131301132122485607343  , .59982639757597731668263005976738196  , .01951844463761131301132122485607343  , 1.  -( .01951844463761131301132122485607343  )-( .01951844463761131301132122485607343  )-( .59982639757597731668263005976738196  ),   .01951844463761131301132122485607343  , .59982639757597731668263005976738196  , 1.  -( .01951844463761131301132122485607343  )-( .01951844463761131301132122485607343  )-( .59982639757597731668263005976738196  ), .01951844463761131301132122485607343  ,   .01951844463761131301132122485607343  , 1.  -( .01951844463761131301132122485607343  )-( .01951844463761131301132122485607343  )-( .59982639757597731668263005976738196  ), .01951844463761131301132122485607343  , .59982639757597731668263005976738196  ,   .01951844463761131301132122485607343  , 1.  -( .01951844463761131301132122485607343  )-( .01951844463761131301132122485607343  )-( .59982639757597731668263005976738196  ), .59982639757597731668263005976738196  , .01951844463761131301132122485607343  ,   .59982639757597731668263005976738196  , .01951844463761131301132122485607343  , .01951844463761131301132122485607343  , 1.  -( .01951844463761131301132122485607343  )-( .01951844463761131301132122485607343  )-( .59982639757597731668263005976738196  ),   .59982639757597731668263005976738196  , .01951844463761131301132122485607343  , 1.  -( .01951844463761131301132122485607343  )-( .01951844463761131301132122485607343  )-( .59982639757597731668263005976738196  ), .01951844463761131301132122485607343  ,   .59982639757597731668263005976738196  , 1.  -( .01951844463761131301132122485607343  )-( .01951844463761131301132122485607343  )-( .59982639757597731668263005976738196  ), .01951844463761131301132122485607343  , .01951844463761131301132122485607343  ,   1.  -( .01951844463761131301132122485607343  )-( .01951844463761131301132122485607343  )-( .59982639757597731668263005976738196  ), .01951844463761131301132122485607343  , .01951844463761131301132122485607343  , .59982639757597731668263005976738196  ,   1.  -( .01951844463761131301132122485607343  )-( .01951844463761131301132122485607343  )-( .59982639757597731668263005976738196  ), .01951844463761131301132122485607343  , .59982639757597731668263005976738196  , .01951844463761131301132122485607343  ,   1.  -( .01951844463761131301132122485607343  )-( .01951844463761131301132122485607343  )-( .59982639757597731668263005976738196  ), .59982639757597731668263005976738196  , .01951844463761131301132122485607343  , .01951844463761131301132122485607343  ,
     .24970741896308715787490891769354198  , .24970741896308715787490891769354198  , .47400425629911050000000000000000000  , 1.  -( .24970741896308715787490891769354198  )-( .24970741896308715787490891769354198  )-( .47400425629911050000000000000000000  ),   .24970741896308715787490891769354198  , .24970741896308715787490891769354198  , 1.  -( .24970741896308715787490891769354198  )-( .24970741896308715787490891769354198  )-( .47400425629911050000000000000000000  ), .47400425629911050000000000000000000  ,   .24970741896308715787490891769354198  , .47400425629911050000000000000000000  , .24970741896308715787490891769354198  , 1.  -( .24970741896308715787490891769354198  )-( .24970741896308715787490891769354198  )-( .47400425629911050000000000000000000  ),   .24970741896308715787490891769354198  , .47400425629911050000000000000000000  , 1.  -( .24970741896308715787490891769354198  )-( .24970741896308715787490891769354198  )-( .47400425629911050000000000000000000  ), .24970741896308715787490891769354198  ,   .24970741896308715787490891769354198  , 1.  -( .24970741896308715787490891769354198  )-( .24970741896308715787490891769354198  )-( .47400425629911050000000000000000000  ), .24970741896308715787490891769354198  , .47400425629911050000000000000000000  ,   .24970741896308715787490891769354198  , 1.  -( .24970741896308715787490891769354198  )-( .24970741896308715787490891769354198  )-( .47400425629911050000000000000000000  ), .47400425629911050000000000000000000  , .24970741896308715787490891769354198  ,   .47400425629911050000000000000000000  , .24970741896308715787490891769354198  , .24970741896308715787490891769354198  , 1.  -( .24970741896308715787490891769354198  )-( .24970741896308715787490891769354198  )-( .47400425629911050000000000000000000  ),   .47400425629911050000000000000000000  , .24970741896308715787490891769354198  , 1.  -( .24970741896308715787490891769354198  )-( .24970741896308715787490891769354198  )-( .47400425629911050000000000000000000  ), .24970741896308715787490891769354198  ,   .47400425629911050000000000000000000  , 1.  -( .24970741896308715787490891769354198  )-( .24970741896308715787490891769354198  )-( .47400425629911050000000000000000000  ), .24970741896308715787490891769354198  , .24970741896308715787490891769354198  ,   1.  -( .24970741896308715787490891769354198  )-( .24970741896308715787490891769354198  )-( .47400425629911050000000000000000000  ), .24970741896308715787490891769354198  , .24970741896308715787490891769354198  , .47400425629911050000000000000000000  ,   1.  -( .24970741896308715787490891769354198  )-( .24970741896308715787490891769354198  )-( .47400425629911050000000000000000000  ), .24970741896308715787490891769354198  , .47400425629911050000000000000000000  , .24970741896308715787490891769354198  ,   1.  -( .24970741896308715787490891769354198  )-( .24970741896308715787490891769354198  )-( .47400425629911050000000000000000000  ), .47400425629911050000000000000000000  , .24970741896308715787490891769354198  , .24970741896308715787490891769354198  ,
     .07674205857869954726322831328843659  , .07674205857869954726322831328843659  , .83056291375422969598432041821082569  , 1.  -( .07674205857869954726322831328843659  )-( .07674205857869954726322831328843659  )-( .83056291375422969598432041821082569  ),   .07674205857869954726322831328843659  , .07674205857869954726322831328843659  , 1.  -( .07674205857869954726322831328843659  )-( .07674205857869954726322831328843659  )-( .83056291375422969598432041821082569  ), .83056291375422969598432041821082569  ,   .07674205857869954726322831328843659  , .83056291375422969598432041821082569  , .07674205857869954726322831328843659  , 1.  -( .07674205857869954726322831328843659  )-( .07674205857869954726322831328843659  )-( .83056291375422969598432041821082569  ),   .07674205857869954726322831328843659  , .83056291375422969598432041821082569  , 1.  -( .07674205857869954726322831328843659  )-( .07674205857869954726322831328843659  )-( .83056291375422969598432041821082569  ), .07674205857869954726322831328843659  ,   .07674205857869954726322831328843659  , 1.  -( .07674205857869954726322831328843659  )-( .07674205857869954726322831328843659  )-( .83056291375422969598432041821082569  ), .07674205857869954726322831328843659  , .83056291375422969598432041821082569  ,   .07674205857869954726322831328843659  , 1.  -( .07674205857869954726322831328843659  )-( .07674205857869954726322831328843659  )-( .83056291375422969598432041821082569  ), .83056291375422969598432041821082569  , .07674205857869954726322831328843659  ,   .83056291375422969598432041821082569  , .07674205857869954726322831328843659  , .07674205857869954726322831328843659  , 1.  -( .07674205857869954726322831328843659  )-( .07674205857869954726322831328843659  )-( .83056291375422969598432041821082569  ),   .83056291375422969598432041821082569  , .07674205857869954726322831328843659  , 1.  -( .07674205857869954726322831328843659  )-( .07674205857869954726322831328843659  )-( .83056291375422969598432041821082569  ), .07674205857869954726322831328843659  ,   .83056291375422969598432041821082569  , 1.  -( .07674205857869954726322831328843659  )-( .07674205857869954726322831328843659  )-( .83056291375422969598432041821082569  ), .07674205857869954726322831328843659  , .07674205857869954726322831328843659  ,   1.  -( .07674205857869954726322831328843659  )-( .07674205857869954726322831328843659  )-( .83056291375422969598432041821082569  ), .07674205857869954726322831328843659  , .07674205857869954726322831328843659  , .83056291375422969598432041821082569  ,   1.  -( .07674205857869954726322831328843659  )-( .07674205857869954726322831328843659  )-( .83056291375422969598432041821082569  ), .07674205857869954726322831328843659  , .83056291375422969598432041821082569  , .07674205857869954726322831328843659  ,   1.  -( .07674205857869954726322831328843659  )-( .07674205857869954726322831328843659  )-( .83056291375422969598432041821082569  ), .83056291375422969598432041821082569  , .07674205857869954726322831328843659  , .07674205857869954726322831328843659  ,
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.22646235632397177636617160407210034  ,  .65250697573013212016385330106711095  , 1.  -( .65250697573013212016385330106711095  )-( .22646235632397177636617160407210034  )-( .02251830769546778956654013747639605  ), .22646235632397177636617160407210034  , .02251830769546778956654013747639605  ,  .65250697573013212016385330106711095  , 1.  -( .65250697573013212016385330106711095  )-( .22646235632397177636617160407210034  )-( .02251830769546778956654013747639605  ), .02251830769546778956654013747639605  , .22646235632397177636617160407210034   ,    .22646235632397177636617160407210034  , .65250697573013212016385330106711095  , .02251830769546778956654013747639605  , 1.  -( .65250697573013212016385330106711095  )-( .22646235632397177636617160407210034  )-( .02251830769546778956654013747639605  ),  .22646235632397177636617160407210034  , .65250697573013212016385330106711095  , 1.  -( .65250697573013212016385330106711095  )-( .22646235632397177636617160407210034  )-( .02251830769546778956654013747639605  ), .02251830769546778956654013747639605  ,  .22646235632397177636617160407210034  , .02251830769546778956654013747639605  , .65250697573013212016385330106711095  , 1.  -( .65250697573013212016385330106711095  )-( .22646235632397177636617160407210034  )-( .02251830769546778956654013747639605  ),  .22646235632397177636617160407210034  , .02251830769546778956654013747639605  , 1.  -( .65250697573013212016385330106711095  )-( .22646235632397177636617160407210034  )-( .02251830769546778956654013747639605  ), .65250697573013212016385330106711095  ,  .22646235632397177636617160407210034  , 1.  -( .65250697573013212016385330106711095  )-( .22646235632397177636617160407210034  )-( .02251830769546778956654013747639605  ), .65250697573013212016385330106711095  , .02251830769546778956654013747639605  ,  .22646235632397177636617160407210034  , 1.  -( .65250697573013212016385330106711095  )-( .22646235632397177636617160407210034  )-( .02251830769546778956654013747639605  ), .02251830769546778956654013747639605  , .65250697573013212016385330106711095   ,    .02251830769546778956654013747639605  , .65250697573013212016385330106711095  , .22646235632397177636617160407210034  , 1.  -( .65250697573013212016385330106711095  )-( .22646235632397177636617160407210034  )-( .02251830769546778956654013747639605  ),  .02251830769546778956654013747639605  , .65250697573013212016385330106711095  , 1.  -( .65250697573013212016385330106711095  )-( .22646235632397177636617160407210034  )-( .02251830769546778956654013747639605  ), .22646235632397177636617160407210034  ,  .02251830769546778956654013747639605  , .22646235632397177636617160407210034  , .65250697573013212016385330106711095  , 1.  -( .65250697573013212016385330106711095  )-( .22646235632397177636617160407210034  )-( .02251830769546778956654013747639605  ),  .02251830769546778956654013747639605  , .22646235632397177636617160407210034  , 1.  -( .65250697573013212016385330106711095  )-( .22646235632397177636617160407210034  )-( .02251830769546778956654013747639605  ), .65250697573013212016385330106711095  ,  .02251830769546778956654013747639605  , 1.  -( .65250697573013212016385330106711095  )-( .22646235632397177636617160407210034  )-( .02251830769546778956654013747639605  ), .65250697573013212016385330106711095  , .22646235632397177636617160407210034  ,  .02251830769546778956654013747639605  , 1.  -( .65250697573013212016385330106711095  )-( .22646235632397177636617160407210034  )-( .02251830769546778956654013747639605  ), .22646235632397177636617160407210034  , .65250697573013212016385330106711095   ,    1.  -( .65250697573013212016385330106711095  )-( .22646235632397177636617160407210034  )-( .02251830769546778956654013747639605  ), .65250697573013212016385330106711095  , .22646235632397177636617160407210034  , .02251830769546778956654013747639605  ,  1.  -( .65250697573013212016385330106711095  )-( .22646235632397177636617160407210034  )-( .02251830769546778956654013747639605  ), .65250697573013212016385330106711095  , .02251830769546778956654013747639605  , .22646235632397177636617160407210034  ,  1.  -( .65250697573013212016385330106711095  )-( .22646235632397177636617160407210034  )-( .02251830769546778956654013747639605  ), .22646235632397177636617160407210034  , .65250697573013212016385330106711095  , .02251830769546778956654013747639605  ,  1.  -( .65250697573013212016385330106711095  )-( .22646235632397177636617160407210034  )-( .02251830769546778956654013747639605  ), .22646235632397177636617160407210034  , .02251830769546778956654013747639605  , .65250697573013212016385330106711095  ,  1.  -( .65250697573013212016385330106711095  )-( .22646235632397177636617160407210034  )-( .02251830769546778956654013747639605  ), .02251830769546778956654013747639605  , .65250697573013212016385330106711095  , .22646235632397177636617160407210034  ,  1.  -( .65250697573013212016385330106711095  )-( .22646235632397177636617160407210034  )-( .02251830769546778956654013747639605  ), .02251830769546778956654013747639605  , .22646235632397177636617160407210034  , .65250697573013212016385330106711095   
}

Definition at line 2166 of file quad.c.

                                                             {
    Perm4(.25000000000000000000000000000000000),
    Perm31(.19318721110347230000000000000000000),
    Perm31(.01811701371436566878506928822499717),
    Perm31(.10700751831426066518406159227423033),
    Perm31(.29936173715970702940603127680004538),
    Perm31(.33333033333333333042835213613025030),
    Perm31(.16575369007421640000000000000000000),
    Perm22(.04009986052352575650366980228640728),
    Perm211(.01951844463761131301132122485607343,.59982639757597731668263005976738196),
    Perm211(.24970741896308715787490891769354198,.47400425629911050000000000000000000),
    Perm211(.07674205857869954726322831328843659,.83056291375422969598432041821082569),
    Perm211(.43011409627915217536723647418133112,.02265922072588833582931396831630072),
    Perm211(.12197854304894211937147375564906792,.47765370899783134571567376444973682),
    Perm211(.01480482319031682427540691439704854,.81083799468092699988474915243749073),
    Perm1111(.65250697573013212016385330106711095,.22646235632397177636617160407210034,.02251830769546778956654013747639605)
};

QUAD_3D_P12_wts

double QUAD_3D_P12_wts[]

static

Initial value:

= {
     .02340581914868067999082580773836836  ,
     .00484469946470415656870798306091558  , .00484469946470415656870798306091558  , .00484469946470415656870798306091558  , .00484469946470415656870798306091558  ,
     .00079865303812732982185563521014343  , .00079865303812732982185563521014343  , .00079865303812732982185563521014343  , .00079865303812732982185563521014343  ,
     .01311872008808756207964488505025527  , .01311872008808756207964488505025527  , .01311872008808756207964488505025527  , .01311872008808756207964488505025527  ,
     .02352182961292765917274505054313770  , .02352182961292765917274505054313770  , .02352182961292765917274505054313770  , .02352182961292765917274505054313770  ,
     .00210860882494149803857437048649497  , .00210860882494149803857437048649497  , .00210860882494149803857437048649497  , .00210860882494149803857437048649497  ,
     .00047839298963616600187228601742259  , .00047839298963616600187228601742259  , .00047839298963616600187228601742259  , .00047839298963616600187228601742259  ,
     .00204546234216855322941711800170502  , .00204546234216855322941711800170502  , .00204546234216855322941711800170502  , .00204546234216855322941711800170502  , .00204546234216855322941711800170502  , .00204546234216855322941711800170502  ,
     .00334576331671817115245418532677178  , .00334576331671817115245418532677178  , .00334576331671817115245418532677178  , .00334576331671817115245418532677178  , .00334576331671817115245418532677178  , .00334576331671817115245418532677178  ,  .00334576331671817115245418532677178  , .00334576331671817115245418532677178  , .00334576331671817115245418532677178  , .00334576331671817115245418532677178  , .00334576331671817115245418532677178  , .00334576331671817115245418532677178  ,
     .01181044822479275264785338274950585  , .01181044822479275264785338274950585  , .01181044822479275264785338274950585  , .01181044822479275264785338274950585  , .01181044822479275264785338274950585  , .01181044822479275264785338274950585  ,  .01181044822479275264785338274950585  , .01181044822479275264785338274950585  , .01181044822479275264785338274950585  , .01181044822479275264785338274950585  , .01181044822479275264785338274950585  , .01181044822479275264785338274950585  ,
     .00290156990282342152841364375092118  , .00290156990282342152841364375092118  , .00290156990282342152841364375092118  , .00290156990282342152841364375092118  , .00290156990282342152841364375092118  , .00290156990282342152841364375092118  ,  .00290156990282342152841364375092118  , .00290156990282342152841364375092118  , .00290156990282342152841364375092118  , .00290156990282342152841364375092118  , .00290156990282342152841364375092118  , .00290156990282342152841364375092118  ,
     .00949250645501753676094846901252898  , .00949250645501753676094846901252898  , .00949250645501753676094846901252898  , .00949250645501753676094846901252898  , .00949250645501753676094846901252898  , .00949250645501753676094846901252898  ,  .00949250645501753676094846901252898  , .00949250645501753676094846901252898  , .00949250645501753676094846901252898  , .00949250645501753676094846901252898  , .00949250645501753676094846901252898  , .00949250645501753676094846901252898  ,
     .02094018358085748583183796760479700  , .02094018358085748583183796760479700  , .02094018358085748583183796760479700  , .02094018358085748583183796760479700  , .02094018358085748583183796760479700  , .02094018358085748583183796760479700  ,  .02094018358085748583183796760479700  , .02094018358085748583183796760479700  , .02094018358085748583183796760479700  , .02094018358085748583183796760479700  , .02094018358085748583183796760479700  , .02094018358085748583183796760479700  ,
     .00171435866337409051521874943702732  , .00171435866337409051521874943702732  , .00171435866337409051521874943702732  , .00171435866337409051521874943702732  , .00171435866337409051521874943702732  , .00171435866337409051521874943702732  ,  .00171435866337409051521874943702732  , .00171435866337409051521874943702732  , .00171435866337409051521874943702732  , .00171435866337409051521874943702732  , .00171435866337409051521874943702732  , .00171435866337409051521874943702732  ,
      .00759915954173370886076474450830409  , .00759915954173370886076474450830409  , .00759915954173370886076474450830409  , .00759915954173370886076474450830409  , .00759915954173370886076474450830409  , .00759915954173370886076474450830409  ,  .00759915954173370886076474450830409  , .00759915954173370886076474450830409  , .00759915954173370886076474450830409  , .00759915954173370886076474450830409  , .00759915954173370886076474450830409  , .00759915954173370886076474450830409  ,  .00759915954173370886076474450830409  , .00759915954173370886076474450830409  , .00759915954173370886076474450830409  , .00759915954173370886076474450830409  , .00759915954173370886076474450830409  , .00759915954173370886076474450830409  ,  .00759915954173370886076474450830409  , .00759915954173370886076474450830409  , .00759915954173370886076474450830409  , .00759915954173370886076474450830409  , .00759915954173370886076474450830409  , .00759915954173370886076474450830409  
}

Definition at line 2149 of file quad.c.

                                  {
    Dup4(.02340581914868067999082580773836836),
    Dup31(.00484469946470415656870798306091558),
    Dup31(.00079865303812732982185563521014343),
    Dup31(.01311872008808756207964488505025527),
    Dup31(.02352182961292765917274505054313770),
    Dup31(.00210860882494149803857437048649497),
    Dup31(.00047839298963616600187228601742259),
    Dup22(.00204546234216855322941711800170502),
    Dup211(.00334576331671817115245418532677178),
    Dup211(.01181044822479275264785338274950585),
    Dup211(.00290156990282342152841364375092118),
    Dup211(.00949250645501753676094846901252898),
    Dup211(.02094018358085748583183796760479700),
    Dup211(.00171435866337409051521874943702732),
    Dup1111(.00759915954173370886076474450830409)
};

QUAD_3D_P13_

QUAD QUAD_3D_P13_

Initial value:

= {
    "3D P13",           
    3,              
    13,             
     (sizeof(QUAD_3D_P13_wts) / (sizeof(QUAD_3D_P13_wts[0]))) , 
    QUAD_3D_P13_pts,        
    QUAD_3D_P13_wts,        
    -1              
}

Definition at line 2230 of file quad.c.

                    {
    "3D P13",           /* name */
    3,              /* dim */
    13,             /* order */
    Length(QUAD_3D_P13_wts),    /* npoints = 149 */
    QUAD_3D_P13_pts,        /* points */
    QUAD_3D_P13_wts,        /* weights */
    -1              /* id */
};

QUAD_3D_P13_pts

double QUAD_3D_P13_pts[(sizeof(QUAD_3D_P13_wts)/(sizeof(QUAD_3D_P13_wts[0]))) *4]

static

Initial value:

= {
     0.25  , 0.25  , 0.25  , 0.25  ,
     1.  - 3.  *( .09935339765028269917868020572165369  ), .09935339765028269917868020572165369  , .09935339765028269917868020572165369  , .09935339765028269917868020572165369  ,   .09935339765028269917868020572165369  , 1.  - 3.  *( .09935339765028269917868020572165369  ), .09935339765028269917868020572165369  , .09935339765028269917868020572165369  ,   .09935339765028269917868020572165369  , .09935339765028269917868020572165369  , 1.  - 3.  *( .09935339765028269917868020572165369  ), .09935339765028269917868020572165369  ,   .09935339765028269917868020572165369  , .09935339765028269917868020572165369  , .09935339765028269917868020572165369  , 1.  - 3.  *( .09935339765028269917868020572165369  ),
     1.  - 3.  *( .02361873260499568532036302265004401  ), .02361873260499568532036302265004401  , .02361873260499568532036302265004401  , .02361873260499568532036302265004401  ,   .02361873260499568532036302265004401  , 1.  - 3.  *( .02361873260499568532036302265004401  ), .02361873260499568532036302265004401  , .02361873260499568532036302265004401  ,   .02361873260499568532036302265004401  , .02361873260499568532036302265004401  , 1.  - 3.  *( .02361873260499568532036302265004401  ), .02361873260499568532036302265004401  ,   .02361873260499568532036302265004401  , .02361873260499568532036302265004401  , .02361873260499568532036302265004401  , 1.  - 3.  *( .02361873260499568532036302265004401  ),
     1.  - 3.  *( .30089166537572662790706731844610997  ), .30089166537572662790706731844610997  , .30089166537572662790706731844610997  , .30089166537572662790706731844610997  ,   .30089166537572662790706731844610997  , 1.  - 3.  *( .30089166537572662790706731844610997  ), .30089166537572662790706731844610997  , .30089166537572662790706731844610997  ,   .30089166537572662790706731844610997  , .30089166537572662790706731844610997  , 1.  - 3.  *( .30089166537572662790706731844610997  ), .30089166537572662790706731844610997  ,   .30089166537572662790706731844610997  , .30089166537572662790706731844610997  , .30089166537572662790706731844610997  , 1.  - 3.  *( .30089166537572662790706731844610997  ),
     1.  - 3.  *( .18156624280757148139366685840064601  ), .18156624280757148139366685840064601  , .18156624280757148139366685840064601  , .18156624280757148139366685840064601  ,   .18156624280757148139366685840064601  , 1.  - 3.  *( .18156624280757148139366685840064601  ), .18156624280757148139366685840064601  , .18156624280757148139366685840064601  ,   .18156624280757148139366685840064601  , .18156624280757148139366685840064601  , 1.  - 3.  *( .18156624280757148139366685840064601  ), .18156624280757148139366685840064601  ,   .18156624280757148139366685840064601  , .18156624280757148139366685840064601  , .18156624280757148139366685840064601  , 1.  - 3.  *( .18156624280757148139366685840064601  ),
     .00428160639152879988718710754508354  , .00428160639152879988718710754508354  , .5  -( .00428160639152879988718710754508354  ), .5  -( .00428160639152879988718710754508354  ),   .00428160639152879988718710754508354  , .5  -( .00428160639152879988718710754508354  ), .00428160639152879988718710754508354  , .5  -( .00428160639152879988718710754508354  ),   .00428160639152879988718710754508354  , .5  -( .00428160639152879988718710754508354  ), .5  -( .00428160639152879988718710754508354  ), .00428160639152879988718710754508354  ,   .5  -( .00428160639152879988718710754508354  ), .00428160639152879988718710754508354  , .5  -( .00428160639152879988718710754508354  ), .00428160639152879988718710754508354  ,   .5  -( .00428160639152879988718710754508354  ), .00428160639152879988718710754508354  , .00428160639152879988718710754508354  , .5  -( .00428160639152879988718710754508354  ),   .5  -( .00428160639152879988718710754508354  ), .5  -( .00428160639152879988718710754508354  ), .00428160639152879988718710754508354  , .00428160639152879988718710754508354  ,
     .12290357421888442998582785890620434  , .12290357421888442998582785890620434  , .5  -( .12290357421888442998582785890620434  ), .5  -( .12290357421888442998582785890620434  ),   .12290357421888442998582785890620434  , .5  -( .12290357421888442998582785890620434  ), .12290357421888442998582785890620434  , .5  -( .12290357421888442998582785890620434  ),   .12290357421888442998582785890620434  , .5  -( .12290357421888442998582785890620434  ), .5  -( .12290357421888442998582785890620434  ), .12290357421888442998582785890620434  ,   .5  -( .12290357421888442998582785890620434  ), .12290357421888442998582785890620434  , .5  -( .12290357421888442998582785890620434  ), .12290357421888442998582785890620434  ,   .5  -( .12290357421888442998582785890620434  ), .12290357421888442998582785890620434  , .12290357421888442998582785890620434  , .5  -( .12290357421888442998582785890620434  ),   .5  -( .12290357421888442998582785890620434  ), .5  -( .12290357421888442998582785890620434  ), .12290357421888442998582785890620434  , .12290357421888442998582785890620434  ,
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     .11579466150271899371721034492503850  , .11579466150271899371721034492503850  , .74997281767443310000000000000000000  , 1.  -( .11579466150271899371721034492503850  )-( .11579466150271899371721034492503850  )-( .74997281767443310000000000000000000  ),   .11579466150271899371721034492503850  , .11579466150271899371721034492503850  , 1.  -( .11579466150271899371721034492503850  )-( .11579466150271899371721034492503850  )-( .74997281767443310000000000000000000  ), .74997281767443310000000000000000000  ,   .11579466150271899371721034492503850  , .74997281767443310000000000000000000  , .11579466150271899371721034492503850  , 1.  -( .11579466150271899371721034492503850  )-( .11579466150271899371721034492503850  )-( .74997281767443310000000000000000000  ),   .11579466150271899371721034492503850  , .74997281767443310000000000000000000  , 1.  -( .11579466150271899371721034492503850  )-( .11579466150271899371721034492503850  )-( .74997281767443310000000000000000000  ), .11579466150271899371721034492503850  ,   .11579466150271899371721034492503850  , 1.  -( .11579466150271899371721034492503850  )-( .11579466150271899371721034492503850  )-( .74997281767443310000000000000000000  ), .11579466150271899371721034492503850  , .74997281767443310000000000000000000  ,   .11579466150271899371721034492503850  , 1.  -( .11579466150271899371721034492503850  )-( .11579466150271899371721034492503850  )-( .74997281767443310000000000000000000  ), .74997281767443310000000000000000000  , .11579466150271899371721034492503850  ,   .74997281767443310000000000000000000  , .11579466150271899371721034492503850  , .11579466150271899371721034492503850  , 1.  -( .11579466150271899371721034492503850  )-( .11579466150271899371721034492503850  )-( .74997281767443310000000000000000000  ),   .74997281767443310000000000000000000  , .11579466150271899371721034492503850  , 1.  -( .11579466150271899371721034492503850  )-( .11579466150271899371721034492503850  )-( .74997281767443310000000000000000000  ), .11579466150271899371721034492503850  ,   .74997281767443310000000000000000000  , 1.  -( .11579466150271899371721034492503850  )-( .11579466150271899371721034492503850  )-( .74997281767443310000000000000000000  ), .11579466150271899371721034492503850  , .11579466150271899371721034492503850  ,   1.  -( .11579466150271899371721034492503850  )-( .11579466150271899371721034492503850  )-( .74997281767443310000000000000000000  ), .11579466150271899371721034492503850  , .11579466150271899371721034492503850  , .74997281767443310000000000000000000  ,   1.  -( .11579466150271899371721034492503850  )-( .11579466150271899371721034492503850  )-( .74997281767443310000000000000000000  ), .11579466150271899371721034492503850  , .74997281767443310000000000000000000  , .11579466150271899371721034492503850  ,   1.  -( .11579466150271899371721034492503850  )-( .11579466150271899371721034492503850  )-( .74997281767443310000000000000000000  ), .74997281767443310000000000000000000  , .11579466150271899371721034492503850  , .11579466150271899371721034492503850  ,
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     .45315745821242834581317282468854978  , .45315745821242834581317282468854978  , .02202033169457796534173826092007299  , 1.  -( .45315745821242834581317282468854978  )-( .45315745821242834581317282468854978  )-( .02202033169457796534173826092007299  ),   .45315745821242834581317282468854978  , .45315745821242834581317282468854978  , 1.  -( .45315745821242834581317282468854978  )-( .45315745821242834581317282468854978  )-( .02202033169457796534173826092007299  ), .02202033169457796534173826092007299  ,   .45315745821242834581317282468854978  , .02202033169457796534173826092007299  , .45315745821242834581317282468854978  , 1.  -( .45315745821242834581317282468854978  )-( .45315745821242834581317282468854978  )-( .02202033169457796534173826092007299  ),   .45315745821242834581317282468854978  , .02202033169457796534173826092007299  , 1.  -( .45315745821242834581317282468854978  )-( .45315745821242834581317282468854978  )-( .02202033169457796534173826092007299  ), .45315745821242834581317282468854978  ,   .45315745821242834581317282468854978  , 1.  -( .45315745821242834581317282468854978  )-( .45315745821242834581317282468854978  )-( .02202033169457796534173826092007299  ), .45315745821242834581317282468854978  , .02202033169457796534173826092007299  ,   .45315745821242834581317282468854978  , 1.  -( .45315745821242834581317282468854978  )-( .45315745821242834581317282468854978  )-( .02202033169457796534173826092007299  ), .02202033169457796534173826092007299  , .45315745821242834581317282468854978  ,   .02202033169457796534173826092007299  , .45315745821242834581317282468854978  , .45315745821242834581317282468854978  , 1.  -( .45315745821242834581317282468854978  )-( .45315745821242834581317282468854978  )-( .02202033169457796534173826092007299  ),   .02202033169457796534173826092007299  , .45315745821242834581317282468854978  , 1.  -( .45315745821242834581317282468854978  )-( .45315745821242834581317282468854978  )-( .02202033169457796534173826092007299  ), .45315745821242834581317282468854978  ,   .02202033169457796534173826092007299  , 1.  -( .45315745821242834581317282468854978  )-( .45315745821242834581317282468854978  )-( .02202033169457796534173826092007299  ), .45315745821242834581317282468854978  , .45315745821242834581317282468854978  ,   1.  -( .45315745821242834581317282468854978  )-( .45315745821242834581317282468854978  )-( .02202033169457796534173826092007299  ), .45315745821242834581317282468854978  , .45315745821242834581317282468854978  , .02202033169457796534173826092007299  ,   1.  -( .45315745821242834581317282468854978  )-( .45315745821242834581317282468854978  )-( .02202033169457796534173826092007299  ), .45315745821242834581317282468854978  , .02202033169457796534173826092007299  , .45315745821242834581317282468854978  ,   1.  -( .45315745821242834581317282468854978  )-( .45315745821242834581317282468854978  )-( .02202033169457796534173826092007299  ), .02202033169457796534173826092007299  , .45315745821242834581317282468854978  , .45315745821242834581317282468854978  ,
      .27324999892429634023602493512400674  , .60775441245653315696274741541102470  , .00561877924700169073874366184065955  , 1.  -( .27324999892429634023602493512400674  )-( .60775441245653315696274741541102470  )-( .00561877924700169073874366184065955  ),  .27324999892429634023602493512400674  , .60775441245653315696274741541102470  , 1.  -( .27324999892429634023602493512400674  )-( .60775441245653315696274741541102470  )-( .00561877924700169073874366184065955  ), .00561877924700169073874366184065955  ,  .27324999892429634023602493512400674  , .00561877924700169073874366184065955  , .60775441245653315696274741541102470  , 1.  -( .27324999892429634023602493512400674  )-( .60775441245653315696274741541102470  )-( .00561877924700169073874366184065955  ),  .27324999892429634023602493512400674  , .00561877924700169073874366184065955  , 1.  -( .27324999892429634023602493512400674  )-( .60775441245653315696274741541102470  )-( .00561877924700169073874366184065955  ), .60775441245653315696274741541102470  ,  .27324999892429634023602493512400674  , 1.  -( .27324999892429634023602493512400674  )-( .60775441245653315696274741541102470  )-( .00561877924700169073874366184065955  ), .60775441245653315696274741541102470  , .00561877924700169073874366184065955  ,  .27324999892429634023602493512400674  , 1.  -( .27324999892429634023602493512400674  )-( .60775441245653315696274741541102470  )-( .00561877924700169073874366184065955  ), .00561877924700169073874366184065955  , .60775441245653315696274741541102470   ,    .60775441245653315696274741541102470  , .27324999892429634023602493512400674  , .00561877924700169073874366184065955  , 1.  -( .27324999892429634023602493512400674  )-( .60775441245653315696274741541102470  )-( .00561877924700169073874366184065955  ),  .60775441245653315696274741541102470  , .27324999892429634023602493512400674  , 1.  -( .27324999892429634023602493512400674  )-( .60775441245653315696274741541102470  )-( .00561877924700169073874366184065955  ), .00561877924700169073874366184065955  ,  .60775441245653315696274741541102470  , .00561877924700169073874366184065955  , .27324999892429634023602493512400674  , 1.  -( .27324999892429634023602493512400674  )-( .60775441245653315696274741541102470  )-( .00561877924700169073874366184065955  ),  .60775441245653315696274741541102470  , .00561877924700169073874366184065955  , 1.  -( .27324999892429634023602493512400674  )-( .60775441245653315696274741541102470  )-( .00561877924700169073874366184065955  ), .27324999892429634023602493512400674  ,  .60775441245653315696274741541102470  , 1.  -( .27324999892429634023602493512400674  )-( .60775441245653315696274741541102470  )-( .00561877924700169073874366184065955  ), .27324999892429634023602493512400674  , .00561877924700169073874366184065955  ,  .60775441245653315696274741541102470  , 1.  -( .27324999892429634023602493512400674  )-( .60775441245653315696274741541102470  )-( .00561877924700169073874366184065955  ), .00561877924700169073874366184065955  , .27324999892429634023602493512400674   ,    .00561877924700169073874366184065955  , .27324999892429634023602493512400674  , .60775441245653315696274741541102470  , 1.  -( .27324999892429634023602493512400674  )-( .60775441245653315696274741541102470  )-( .00561877924700169073874366184065955  ),  .00561877924700169073874366184065955  , .27324999892429634023602493512400674  , 1.  -( .27324999892429634023602493512400674  )-( .60775441245653315696274741541102470  )-( .00561877924700169073874366184065955  ), .60775441245653315696274741541102470  ,  .00561877924700169073874366184065955  , .60775441245653315696274741541102470  , .27324999892429634023602493512400674  , 1.  -( .27324999892429634023602493512400674  )-( .60775441245653315696274741541102470  )-( .00561877924700169073874366184065955  ),  .00561877924700169073874366184065955  , .60775441245653315696274741541102470  , 1.  -( .27324999892429634023602493512400674  )-( .60775441245653315696274741541102470  )-( .00561877924700169073874366184065955  ), .27324999892429634023602493512400674  ,  .00561877924700169073874366184065955  , 1.  -( .27324999892429634023602493512400674  )-( .60775441245653315696274741541102470  )-( .00561877924700169073874366184065955  ), .27324999892429634023602493512400674  , .60775441245653315696274741541102470  ,  .00561877924700169073874366184065955  , 1.  -( .27324999892429634023602493512400674  )-( .60775441245653315696274741541102470  )-( .00561877924700169073874366184065955  ), .60775441245653315696274741541102470  , .27324999892429634023602493512400674   ,    1.  -( .27324999892429634023602493512400674  )-( .60775441245653315696274741541102470  )-( .00561877924700169073874366184065955  ), .27324999892429634023602493512400674  , .60775441245653315696274741541102470  , .00561877924700169073874366184065955  ,  1.  -( .27324999892429634023602493512400674  )-( .60775441245653315696274741541102470  )-( .00561877924700169073874366184065955  ), .27324999892429634023602493512400674  , .00561877924700169073874366184065955  , .60775441245653315696274741541102470  ,  1.  -( .27324999892429634023602493512400674  )-( .60775441245653315696274741541102470  )-( .00561877924700169073874366184065955  ), .60775441245653315696274741541102470  , .27324999892429634023602493512400674  , .00561877924700169073874366184065955  ,  1.  -( .27324999892429634023602493512400674  )-( .60775441245653315696274741541102470  )-( .00561877924700169073874366184065955  ), .60775441245653315696274741541102470  , .00561877924700169073874366184065955  , .27324999892429634023602493512400674  ,  1.  -( .27324999892429634023602493512400674  )-( .60775441245653315696274741541102470  )-( .00561877924700169073874366184065955  ), .00561877924700169073874366184065955  , .27324999892429634023602493512400674  , .60775441245653315696274741541102470  ,  1.  -( .27324999892429634023602493512400674  )-( .60775441245653315696274741541102470  )-( .00561877924700169073874366184065955  ), .00561877924700169073874366184065955  , .60775441245653315696274741541102470  , .27324999892429634023602493512400674   
}

Definition at line 2212 of file quad.c.

                                                             {
    Perm4(.25000000000000000000000000000000000),
    Perm31(.09935339765028269917868020572165369),
    Perm31(.02361873260499568532036302265004401),
    Perm31(.30089166537572662790706731844610997),
    Perm31(.18156624280757148139366685840064601),
    Perm22(.00428160639152879988718710754508354),
    Perm22(.12290357421888442998582785890620434),
    Perm211(.28318219770202728236417353077594322,.43037955664247500440987356786807501),
    Perm211(.02239485904524970717572425710098278,.83488749018470024820940398932904512),
    Perm211(.02191788402113435132324662419880111,.67691762094326571059673391273529166),
    Perm211(.21481417044274656673534260788169227,.52280311286258745560867693994038579),
    Perm211(.08000490008644308882018405418010744,.24689045570275147370034631014113188),
    Perm211(.11579466150271899371721034492503850,.74997281767443310000000000000000000),
    Perm211(.39129315347000474438672195978809687,.18835457382799180000000000000000000),
    Perm211(.45315745821242834581317282468854978,.02202033169457796534173826092007299),
    Perm1111(.27324999892429634023602493512400674,.60775441245653315696274741541102470,.00561877924700169073874366184065955)
};

QUAD_3D_P13_wts

double QUAD_3D_P13_wts[]

static

Initial value:

= {
     .02191579945212728678229670892998658  ,
     .00809592740005652573580359966615063  , .00809592740005652573580359966615063  , .00809592740005652573580359966615063  , .00809592740005652573580359966615063  ,
     .00130319185047278813746994806952476  , .00130319185047278813746994806952476  , .00130319185047278813746994806952476  , .00130319185047278813746994806952476  ,
     .01996610676014222116016391561580003  , .01996610676014222116016391561580003  , .01996610676014222116016391561580003  , .01996610676014222116016391561580003  ,
     .02125705756007566772097136088386650  , .02125705756007566772097136088386650  , .02125705756007566772097136088386650  , .02125705756007566772097136088386650  ,
     .00077331890737182713690269661719116  , .00077331890737182713690269661719116  , .00077331890737182713690269661719116  , .00077331890737182713690269661719116  , .00077331890737182713690269661719116  , .00077331890737182713690269661719116  ,
     .01755491389570430512641028370006205  , .01755491389570430512641028370006205  , .01755491389570430512641028370006205  , .01755491389570430512641028370006205  , .01755491389570430512641028370006205  , .01755491389570430512641028370006205  ,
     .00213830361001659899343287397434178  , .00213830361001659899343287397434178  , .00213830361001659899343287397434178  , .00213830361001659899343287397434178  , .00213830361001659899343287397434178  , .00213830361001659899343287397434178  ,  .00213830361001659899343287397434178  , .00213830361001659899343287397434178  , .00213830361001659899343287397434178  , .00213830361001659899343287397434178  , .00213830361001659899343287397434178  , .00213830361001659899343287397434178  ,
     .00256560169283338620814651902766716  , .00256560169283338620814651902766716  , .00256560169283338620814651902766716  , .00256560169283338620814651902766716  , .00256560169283338620814651902766716  , .00256560169283338620814651902766716  ,  .00256560169283338620814651902766716  , .00256560169283338620814651902766716  , .00256560169283338620814651902766716  , .00256560169283338620814651902766716  , .00256560169283338620814651902766716  , .00256560169283338620814651902766716  ,
     .00338953948455728203040932651810398  , .00338953948455728203040932651810398  , .00338953948455728203040932651810398  , .00338953948455728203040932651810398  , .00338953948455728203040932651810398  , .00338953948455728203040932651810398  ,  .00338953948455728203040932651810398  , .00338953948455728203040932651810398  , .00338953948455728203040932651810398  , .00338953948455728203040932651810398  , .00338953948455728203040932651810398  , .00338953948455728203040932651810398  ,
     .01135828330503278417235563981454793  , .01135828330503278417235563981454793  , .01135828330503278417235563981454793  , .01135828330503278417235563981454793  , .01135828330503278417235563981454793  , .01135828330503278417235563981454793  ,  .01135828330503278417235563981454793  , .01135828330503278417235563981454793  , .01135828330503278417235563981454793  , .01135828330503278417235563981454793  , .01135828330503278417235563981454793  , .01135828330503278417235563981454793  ,
     .01103203882197761043040360052454856  , .01103203882197761043040360052454856  , .01103203882197761043040360052454856  , .01103203882197761043040360052454856  , .01103203882197761043040360052454856  , .01103203882197761043040360052454856  ,  .01103203882197761043040360052454856  , .01103203882197761043040360052454856  , .01103203882197761043040360052454856  , .01103203882197761043040360052454856  , .01103203882197761043040360052454856  , .01103203882197761043040360052454856  ,
     .00457602573785952356043458354199517  , .00457602573785952356043458354199517  , .00457602573785952356043458354199517  , .00457602573785952356043458354199517  , .00457602573785952356043458354199517  , .00457602573785952356043458354199517  ,  .00457602573785952356043458354199517  , .00457602573785952356043458354199517  , .00457602573785952356043458354199517  , .00457602573785952356043458354199517  , .00457602573785952356043458354199517  , .00457602573785952356043458354199517  ,
     .00827343104220868129752243222682095  , .00827343104220868129752243222682095  , .00827343104220868129752243222682095  , .00827343104220868129752243222682095  , .00827343104220868129752243222682095  , .00827343104220868129752243222682095  ,  .00827343104220868129752243222682095  , .00827343104220868129752243222682095  , .00827343104220868129752243222682095  , .00827343104220868129752243222682095  , .00827343104220868129752243222682095  , .00827343104220868129752243222682095  ,
     .00586641165391940007076312979369247  , .00586641165391940007076312979369247  , .00586641165391940007076312979369247  , .00586641165391940007076312979369247  , .00586641165391940007076312979369247  , .00586641165391940007076312979369247  ,  .00586641165391940007076312979369247  , .00586641165391940007076312979369247  , .00586641165391940007076312979369247  , .00586641165391940007076312979369247  , .00586641165391940007076312979369247  , .00586641165391940007076312979369247  ,
      .00313458521939849614410720196518793  , .00313458521939849614410720196518793  , .00313458521939849614410720196518793  , .00313458521939849614410720196518793  , .00313458521939849614410720196518793  , .00313458521939849614410720196518793  ,  .00313458521939849614410720196518793  , .00313458521939849614410720196518793  , .00313458521939849614410720196518793  , .00313458521939849614410720196518793  , .00313458521939849614410720196518793  , .00313458521939849614410720196518793  ,  .00313458521939849614410720196518793  , .00313458521939849614410720196518793  , .00313458521939849614410720196518793  , .00313458521939849614410720196518793  , .00313458521939849614410720196518793  , .00313458521939849614410720196518793  ,  .00313458521939849614410720196518793  , .00313458521939849614410720196518793  , .00313458521939849614410720196518793  , .00313458521939849614410720196518793  , .00313458521939849614410720196518793  , .00313458521939849614410720196518793  
}

Definition at line 2194 of file quad.c.

                                  {
    Dup4(.02191579945212728678229670892998658),
    Dup31(.00809592740005652573580359966615063),
    Dup31(.00130319185047278813746994806952476),
    Dup31(.01996610676014222116016391561580003),
    Dup31(.02125705756007566772097136088386650),
    Dup22(.00077331890737182713690269661719116),
    Dup22(.01755491389570430512641028370006205),
    Dup211(.00213830361001659899343287397434178),
    Dup211(.00256560169283338620814651902766716),
    Dup211(.00338953948455728203040932651810398),
    Dup211(.01135828330503278417235563981454793),
    Dup211(.01103203882197761043040360052454856),
    Dup211(.00457602573785952356043458354199517),
    Dup211(.00827343104220868129752243222682095),
    Dup211(.00586641165391940007076312979369247),
    Dup1111(.00313458521939849614410720196518793)
};

QUAD_3D_P14_

QUAD QUAD_3D_P14_

Initial value:

= {
    "3D P14",           
    3,              
    14,             
     (sizeof(QUAD_3D_P14_wts) / (sizeof(QUAD_3D_P14_wts[0]))) , 
    QUAD_3D_P14_pts,        
    QUAD_3D_P14_wts,        
    -1              
}

Definition at line 2280 of file quad.c.

                    {
    "3D P14",           /* name */
    3,              /* dim */
    14,             /* order */
    Length(QUAD_3D_P14_wts),    /* npoints = 194 */
    QUAD_3D_P14_pts,        /* points */
    QUAD_3D_P14_wts,        /* weights */
    -1              /* id */
};

QUAD_3D_P14_pts

double QUAD_3D_P14_pts[(sizeof(QUAD_3D_P14_wts)/(sizeof(QUAD_3D_P14_wts[0]))) *4]

static

Initial value:

= {
     1.  - 3.  *( .12703434587701869604797950660749487  ), .12703434587701869604797950660749487  , .12703434587701869604797950660749487  , .12703434587701869604797950660749487  ,   .12703434587701869604797950660749487  , 1.  - 3.  *( .12703434587701869604797950660749487  ), .12703434587701869604797950660749487  , .12703434587701869604797950660749487  ,   .12703434587701869604797950660749487  , .12703434587701869604797950660749487  , 1.  - 3.  *( .12703434587701869604797950660749487  ), .12703434587701869604797950660749487  ,   .12703434587701869604797950660749487  , .12703434587701869604797950660749487  , .12703434587701869604797950660749487  , 1.  - 3.  *( .12703434587701869604797950660749487  ),
     1.  - 3.  *( .03716308713428675181759859706979325  ), .03716308713428675181759859706979325  , .03716308713428675181759859706979325  , .03716308713428675181759859706979325  ,   .03716308713428675181759859706979325  , 1.  - 3.  *( .03716308713428675181759859706979325  ), .03716308713428675181759859706979325  , .03716308713428675181759859706979325  ,   .03716308713428675181759859706979325  , .03716308713428675181759859706979325  , 1.  - 3.  *( .03716308713428675181759859706979325  ), .03716308713428675181759859706979325  ,   .03716308713428675181759859706979325  , .03716308713428675181759859706979325  , .03716308713428675181759859706979325  , 1.  - 3.  *( .03716308713428675181759859706979325  ),
     1.  - 3.  *( .30931161817607732544635505822019770  ), .30931161817607732544635505822019770  , .30931161817607732544635505822019770  , .30931161817607732544635505822019770  ,   .30931161817607732544635505822019770  , 1.  - 3.  *( .30931161817607732544635505822019770  ), .30931161817607732544635505822019770  , .30931161817607732544635505822019770  ,   .30931161817607732544635505822019770  , .30931161817607732544635505822019770  , 1.  - 3.  *( .30931161817607732544635505822019770  ), .30931161817607732544635505822019770  ,   .30931161817607732544635505822019770  , .30931161817607732544635505822019770  , .30931161817607732544635505822019770  , 1.  - 3.  *( .30931161817607732544635505822019770  ),
     1.  - 3.  *( .07778813507287403019691221965639750  ), .07778813507287403019691221965639750  , .07778813507287403019691221965639750  , .07778813507287403019691221965639750  ,   .07778813507287403019691221965639750  , 1.  - 3.  *( .07778813507287403019691221965639750  ), .07778813507287403019691221965639750  , .07778813507287403019691221965639750  ,   .07778813507287403019691221965639750  , .07778813507287403019691221965639750  , 1.  - 3.  *( .07778813507287403019691221965639750  ), .07778813507287403019691221965639750  ,   .07778813507287403019691221965639750  , .07778813507287403019691221965639750  , .07778813507287403019691221965639750  , 1.  - 3.  *( .07778813507287403019691221965639750  ),
     1.  - 3.  *( .01187611663683786502091234677477106  ), .01187611663683786502091234677477106  , .01187611663683786502091234677477106  , .01187611663683786502091234677477106  ,   .01187611663683786502091234677477106  , 1.  - 3.  *( .01187611663683786502091234677477106  ), .01187611663683786502091234677477106  , .01187611663683786502091234677477106  ,   .01187611663683786502091234677477106  , .01187611663683786502091234677477106  , 1.  - 3.  *( .01187611663683786502091234677477106  ), .01187611663683786502091234677477106  ,   .01187611663683786502091234677477106  , .01187611663683786502091234677477106  , .01187611663683786502091234677477106  , 1.  - 3.  *( .01187611663683786502091234677477106  ),
     .02371189715571358237825633505545476  , .02371189715571358237825633505545476  , .5  -( .02371189715571358237825633505545476  ), .5  -( .02371189715571358237825633505545476  ),   .02371189715571358237825633505545476  , .5  -( .02371189715571358237825633505545476  ), .02371189715571358237825633505545476  , .5  -( .02371189715571358237825633505545476  ),   .02371189715571358237825633505545476  , .5  -( .02371189715571358237825633505545476  ), .5  -( .02371189715571358237825633505545476  ), .02371189715571358237825633505545476  ,   .5  -( .02371189715571358237825633505545476  ), .02371189715571358237825633505545476  , .5  -( .02371189715571358237825633505545476  ), .02371189715571358237825633505545476  ,   .5  -( .02371189715571358237825633505545476  ), .02371189715571358237825633505545476  , .02371189715571358237825633505545476  , .5  -( .02371189715571358237825633505545476  ),   .5  -( .02371189715571358237825633505545476  ), .5  -( .02371189715571358237825633505545476  ), .02371189715571358237825633505545476  , .02371189715571358237825633505545476  ,
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      .81379652801439184798325669233364806  , .06021328978843793059084645285790579  , .12582571438467239382589793638340901  , 1.  -( .81379652801439184798325669233364806  )-( .06021328978843793059084645285790579  )-( .12582571438467239382589793638340901  ),  .81379652801439184798325669233364806  , .06021328978843793059084645285790579  , 1.  -( .81379652801439184798325669233364806  )-( .06021328978843793059084645285790579  )-( .12582571438467239382589793638340901  ), .12582571438467239382589793638340901  ,  .81379652801439184798325669233364806  , .12582571438467239382589793638340901  , .06021328978843793059084645285790579  , 1.  -( .81379652801439184798325669233364806  )-( .06021328978843793059084645285790579  )-( .12582571438467239382589793638340901  ),  .81379652801439184798325669233364806  , .12582571438467239382589793638340901  , 1.  -( .81379652801439184798325669233364806  )-( .06021328978843793059084645285790579  )-( .12582571438467239382589793638340901  ), 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.12582571438467239382589793638340901  ), .12582571438467239382589793638340901  ,  .06021328978843793059084645285790579  , .12582571438467239382589793638340901  , .81379652801439184798325669233364806  , 1.  -( .81379652801439184798325669233364806  )-( .06021328978843793059084645285790579  )-( .12582571438467239382589793638340901  ),  .06021328978843793059084645285790579  , .12582571438467239382589793638340901  , 1.  -( .81379652801439184798325669233364806  )-( .06021328978843793059084645285790579  )-( .12582571438467239382589793638340901  ), .81379652801439184798325669233364806  ,  .06021328978843793059084645285790579  , 1.  -( .81379652801439184798325669233364806  )-( .06021328978843793059084645285790579  )-( .12582571438467239382589793638340901  ), .81379652801439184798325669233364806  , .12582571438467239382589793638340901  ,  .06021328978843793059084645285790579  , 1.  -( .81379652801439184798325669233364806  )-( .06021328978843793059084645285790579  )-( .12582571438467239382589793638340901  ), .12582571438467239382589793638340901  , .81379652801439184798325669233364806   ,    .12582571438467239382589793638340901  , .81379652801439184798325669233364806  , .06021328978843793059084645285790579  , 1.  -( .81379652801439184798325669233364806  )-( .06021328978843793059084645285790579  )-( .12582571438467239382589793638340901  ),  .12582571438467239382589793638340901  , .81379652801439184798325669233364806  , 1.  -( .81379652801439184798325669233364806  )-( .06021328978843793059084645285790579  )-( .12582571438467239382589793638340901  ), .06021328978843793059084645285790579  ,  .12582571438467239382589793638340901  , .06021328978843793059084645285790579  , .81379652801439184798325669233364806  , 1.  -( .81379652801439184798325669233364806  )-( .06021328978843793059084645285790579  )-( .12582571438467239382589793638340901  ),  .12582571438467239382589793638340901  , .06021328978843793059084645285790579  , 1.  -( .81379652801439184798325669233364806  )-( .06021328978843793059084645285790579  )-( .12582571438467239382589793638340901  ), .81379652801439184798325669233364806  ,  .12582571438467239382589793638340901  , 1.  -( .81379652801439184798325669233364806  )-( .06021328978843793059084645285790579  )-( .12582571438467239382589793638340901  ), .81379652801439184798325669233364806  , .06021328978843793059084645285790579  ,  .12582571438467239382589793638340901  , 1.  -( .81379652801439184798325669233364806  )-( .06021328978843793059084645285790579  )-( .12582571438467239382589793638340901  ), .06021328978843793059084645285790579  , .81379652801439184798325669233364806   ,    1.  -( .81379652801439184798325669233364806  )-( .06021328978843793059084645285790579  )-( .12582571438467239382589793638340901  ), .81379652801439184798325669233364806  , .06021328978843793059084645285790579  , .12582571438467239382589793638340901  ,  1.  -( .81379652801439184798325669233364806  )-( .06021328978843793059084645285790579  )-( .12582571438467239382589793638340901  ), .81379652801439184798325669233364806  , .12582571438467239382589793638340901  , .06021328978843793059084645285790579  ,  1.  -( .81379652801439184798325669233364806  )-( .06021328978843793059084645285790579  )-( .12582571438467239382589793638340901  ), .06021328978843793059084645285790579  , .81379652801439184798325669233364806  , .12582571438467239382589793638340901  ,  1.  -( .81379652801439184798325669233364806  )-( .06021328978843793059084645285790579  )-( .12582571438467239382589793638340901  ), .06021328978843793059084645285790579  , .12582571438467239382589793638340901  , .81379652801439184798325669233364806  ,  1.  -( .81379652801439184798325669233364806  )-( .06021328978843793059084645285790579  )-( .12582571438467239382589793638340901  ), .12582571438467239382589793638340901  , .81379652801439184798325669233364806  , .06021328978843793059084645285790579  ,  1.  -( .81379652801439184798325669233364806  )-( .06021328978843793059084645285790579  )-( .12582571438467239382589793638340901  ), .12582571438467239382589793638340901  , .06021328978843793059084645285790579  , .81379652801439184798325669233364806   
}

Definition at line 2260 of file quad.c.

                                                             {
    Perm31(.12703434587701869604797950660749487),
    Perm31(.03716308713428675181759859706979325),
    Perm31(.30931161817607732544635505822019770),
    Perm31(.07778813507287403019691221965639750),
    Perm31(.01187611663683786502091234677477106),
    Perm22(.02371189715571358237825633505545476),
    Perm211(.04551422172971295738029708158398140,.73884882267833978290969755547076243),
    Perm211(.19457055431059420000000000000000000,.36138202354403612356128050094846106),
    Perm211(.42158193164647035846631052119479790,.13481021809330111977392354242291205),
    Perm211(.36227661803202431683389679069549247,.09100846759454444774082592541447308),
    Perm211(.26662003783461096351186917353420086,.45135951603290056428206454329600320),
    Perm211(.07870367664603755989163074150395650,.53854007868617855365162509332690316),
    Perm211(.01462604843949452202375023818416595,.68140642280720592407050422036244765),
    Perm211(.20755902173331721318141636044536441,.49641284136813420000000000000000000),
    Perm211(.00317672566580133046838579859910808,.88571644680187933415518991697343211),
    Perm211(.16634658949265576428233847556684871,.64221464654291632524678940601354742),
    Perm1111(.59698804897542365623933181080626979,.30344194369885264264500117734906354,.00772105989990930297678960227638472),
    Perm1111(.81379652801439184798325669233364806,.06021328978843793059084645285790579,.12582571438467239382589793638340901)
};

QUAD_3D_P14_wts

double QUAD_3D_P14_wts[]

static

Initial value:

= {
     .00898427322254918127543126682598773  , .00898427322254918127543126682598773  , .00898427322254918127543126682598773  , .00898427322254918127543126682598773  ,
     .00235414897468188299910869230818368  , .00235414897468188299910869230818368  , .00235414897468188299910869230818368  , .00235414897468188299910869230818368  ,
     .00733553866836377016223467789336265  , .00733553866836377016223467789336265  , .00733553866836377016223467789336265  , .00733553866836377016223467789336265  ,
     .00360629336228634011530354432318077  , .00360629336228634011530354432318077  , .00360629336228634011530354432318077  , .00360629336228634011530354432318077  ,
     .00022796656022189240650071390651338  , .00022796656022189240650071390651338  , .00022796656022189240650071390651338  , .00022796656022189240650071390651338  ,
     .00425068731230945391542573203967906  , .00425068731230945391542573203967906  , .00425068731230945391542573203967906  , .00425068731230945391542573203967906  , .00425068731230945391542573203967906  , .00425068731230945391542573203967906  ,
     .00502229674184657212637707578731437  , .00502229674184657212637707578731437  , .00502229674184657212637707578731437  , .00502229674184657212637707578731437  , .00502229674184657212637707578731437  , .00502229674184657212637707578731437  ,  .00502229674184657212637707578731437  , .00502229674184657212637707578731437  , .00502229674184657212637707578731437  , .00502229674184657212637707578731437  , .00502229674184657212637707578731437  , .00502229674184657212637707578731437  ,
     .00664105199619194276141547967835717  , .00664105199619194276141547967835717  , .00664105199619194276141547967835717  , .00664105199619194276141547967835717  , .00664105199619194276141547967835717  , .00664105199619194276141547967835717  ,  .00664105199619194276141547967835717  , .00664105199619194276141547967835717  , .00664105199619194276141547967835717  , .00664105199619194276141547967835717  , .00664105199619194276141547967835717  , .00664105199619194276141547967835717  ,
     .00648663075652078221084713724389357  , .00648663075652078221084713724389357  , .00648663075652078221084713724389357  , .00648663075652078221084713724389357  , .00648663075652078221084713724389357  , .00648663075652078221084713724389357  ,  .00648663075652078221084713724389357  , .00648663075652078221084713724389357  , .00648663075652078221084713724389357  , .00648663075652078221084713724389357  , .00648663075652078221084713724389357  , .00648663075652078221084713724389357  ,
     .01084924609520658118048627917429636  , .01084924609520658118048627917429636  , .01084924609520658118048627917429636  , .01084924609520658118048627917429636  , .01084924609520658118048627917429636  , .01084924609520658118048627917429636  ,  .01084924609520658118048627917429636  , .01084924609520658118048627917429636  , .01084924609520658118048627917429636  , .01084924609520658118048627917429636  , .01084924609520658118048627917429636  , .01084924609520658118048627917429636  ,
     .00698225572400728567899793615355807  , .00698225572400728567899793615355807  , .00698225572400728567899793615355807  , .00698225572400728567899793615355807  , .00698225572400728567899793615355807  , .00698225572400728567899793615355807  ,  .00698225572400728567899793615355807  , .00698225572400728567899793615355807  , .00698225572400728567899793615355807  , .00698225572400728567899793615355807  , .00698225572400728567899793615355807  , .00698225572400728567899793615355807  ,
     .01057643198113441258335538488635301  , .01057643198113441258335538488635301  , .01057643198113441258335538488635301  , .01057643198113441258335538488635301  , .01057643198113441258335538488635301  , .01057643198113441258335538488635301  ,  .01057643198113441258335538488635301  , .01057643198113441258335538488635301  , .01057643198113441258335538488635301  , .01057643198113441258335538488635301  , .01057643198113441258335538488635301  , .01057643198113441258335538488635301  ,
     .00172517387494940531214061228255136  , .00172517387494940531214061228255136  , .00172517387494940531214061228255136  , .00172517387494940531214061228255136  , .00172517387494940531214061228255136  , .00172517387494940531214061228255136  ,  .00172517387494940531214061228255136  , .00172517387494940531214061228255136  , .00172517387494940531214061228255136  , .00172517387494940531214061228255136  , .00172517387494940531214061228255136  , .00172517387494940531214061228255136  ,
     .01064026039260234415487304925754523  , .01064026039260234415487304925754523  , .01064026039260234415487304925754523  , .01064026039260234415487304925754523  , .01064026039260234415487304925754523  , .01064026039260234415487304925754523  ,  .01064026039260234415487304925754523  , .01064026039260234415487304925754523  , .01064026039260234415487304925754523  , .01064026039260234415487304925754523  , .01064026039260234415487304925754523  , .01064026039260234415487304925754523  ,
     .00031627239419231128593612508289817  , .00031627239419231128593612508289817  , .00031627239419231128593612508289817  , .00031627239419231128593612508289817  , .00031627239419231128593612508289817  , .00031627239419231128593612508289817  ,  .00031627239419231128593612508289817  , .00031627239419231128593612508289817  , .00031627239419231128593612508289817  , .00031627239419231128593612508289817  , .00031627239419231128593612508289817  , .00031627239419231128593612508289817  ,
     .00676212093730203740266276007684025  , .00676212093730203740266276007684025  , .00676212093730203740266276007684025  , .00676212093730203740266276007684025  , .00676212093730203740266276007684025  , .00676212093730203740266276007684025  ,  .00676212093730203740266276007684025  , .00676212093730203740266276007684025  , .00676212093730203740266276007684025  , .00676212093730203740266276007684025  , .00676212093730203740266276007684025  , .00676212093730203740266276007684025  ,
      .00293371746826111669254642316791922  , .00293371746826111669254642316791922  , .00293371746826111669254642316791922  , .00293371746826111669254642316791922  , .00293371746826111669254642316791922  , .00293371746826111669254642316791922  ,  .00293371746826111669254642316791922  , .00293371746826111669254642316791922  , .00293371746826111669254642316791922  , .00293371746826111669254642316791922  , .00293371746826111669254642316791922  , .00293371746826111669254642316791922  ,  .00293371746826111669254642316791922  , .00293371746826111669254642316791922  , .00293371746826111669254642316791922  , .00293371746826111669254642316791922  , .00293371746826111669254642316791922  , .00293371746826111669254642316791922  ,  .00293371746826111669254642316791922  , .00293371746826111669254642316791922  , .00293371746826111669254642316791922  , .00293371746826111669254642316791922  , .00293371746826111669254642316791922  , .00293371746826111669254642316791922  ,
      .00091803679200083798695474146748587  , .00091803679200083798695474146748587  , .00091803679200083798695474146748587  , .00091803679200083798695474146748587  , .00091803679200083798695474146748587  , .00091803679200083798695474146748587  ,  .00091803679200083798695474146748587  , .00091803679200083798695474146748587  , .00091803679200083798695474146748587  , .00091803679200083798695474146748587  , .00091803679200083798695474146748587  , .00091803679200083798695474146748587  ,  .00091803679200083798695474146748587  , .00091803679200083798695474146748587  , .00091803679200083798695474146748587  , .00091803679200083798695474146748587  , .00091803679200083798695474146748587  , .00091803679200083798695474146748587  ,  .00091803679200083798695474146748587  , .00091803679200083798695474146748587  , .00091803679200083798695474146748587  , .00091803679200083798695474146748587  , .00091803679200083798695474146748587  , .00091803679200083798695474146748587  
}

Definition at line 2240 of file quad.c.

                                  {
    Dup31(.00898427322254918127543126682598773),
    Dup31(.00235414897468188299910869230818368),
    Dup31(.00733553866836377016223467789336265),
    Dup31(.00360629336228634011530354432318077),
    Dup31(.00022796656022189240650071390651338),
    Dup22(.00425068731230945391542573203967906),
    Dup211(.00502229674184657212637707578731437),
    Dup211(.00664105199619194276141547967835717),
    Dup211(.00648663075652078221084713724389357),
    Dup211(.01084924609520658118048627917429636),
    Dup211(.00698225572400728567899793615355807),
    Dup211(.01057643198113441258335538488635301),
    Dup211(.00172517387494940531214061228255136),
    Dup211(.01064026039260234415487304925754523),
    Dup211(.00031627239419231128593612508289817),
    Dup211(.00676212093730203740266276007684025),
    Dup1111(.00293371746826111669254642316791922),
    Dup1111(.00091803679200083798695474146748587)
};

QUAD_3D_P1_

QUAD QUAD_3D_P1_

Initial value:

= {
    "3D P1",            
    3,              
    1,              
     (sizeof(QUAD_3D_P1_wts) / (sizeof(QUAD_3D_P1_wts[0]))) ,   
    QUAD_3D_P1_pts,     
    QUAD_3D_P1_wts,     
    -1              
}

Definition at line 1763 of file quad.c.

                   {
    "3D P1",            /* name */
    3,              /* dim */
    1,              /* order */
    Length(QUAD_3D_P1_wts), /* npoints = 1 */
    QUAD_3D_P1_pts,     /* points */
    QUAD_3D_P1_wts,     /* weights */
    -1              /* id */
};

QUAD_3D_P1_pts

double QUAD_3D_P1_pts[(sizeof(QUAD_3D_P1_wts)/(sizeof(QUAD_3D_P1_wts[0]))) *4]

static

Initial value:

= {
     0.25  , 0.25  , 0.25  , 0.25  
}

Definition at line 1760 of file quad.c.

                                                           {
    Perm4(.25)
};

QUAD_3D_P1_wts

double QUAD_3D_P1_wts[]

static

Initial value:

= {
     1.  
}

Definition at line 1757 of file quad.c.

                                 {
    Dup4(1.)
};

QUAD_3D_P2_

QUAD QUAD_3D_P2_

Initial value:

= {
    "3D P2",            
    3,              
    2,              
     (sizeof(QUAD_3D_P2_wts) / (sizeof(QUAD_3D_P2_wts[0]))) ,   
    QUAD_3D_P2_pts,     
    QUAD_3D_P2_wts,     
    -1              
}

Definition at line 1780 of file quad.c.

                   {
    "3D P2",            /* name */
    3,              /* dim */
    2,              /* order */
    Length(QUAD_3D_P2_wts), /* npoints = 4 */
    QUAD_3D_P2_pts,     /* points */
    QUAD_3D_P2_wts,     /* weights */
    -1              /* id */
};

QUAD_3D_P2_pts

double QUAD_3D_P2_pts[(sizeof(QUAD_3D_P2_wts)/(sizeof(QUAD_3D_P2_wts[0]))) *4]

static

Initial value:

= {
    
     1.  - 3.  *( .13819660112501051517954131656343619  ), .13819660112501051517954131656343619  , .13819660112501051517954131656343619  , .13819660112501051517954131656343619  ,   .13819660112501051517954131656343619  , 1.  - 3.  *( .13819660112501051517954131656343619  ), .13819660112501051517954131656343619  , .13819660112501051517954131656343619  ,   .13819660112501051517954131656343619  , .13819660112501051517954131656343619  , 1.  - 3.  *( .13819660112501051517954131656343619  ), .13819660112501051517954131656343619  ,   .13819660112501051517954131656343619  , .13819660112501051517954131656343619  , .13819660112501051517954131656343619  , 1.  - 3.  *( .13819660112501051517954131656343619  )
}

Definition at line 1776 of file quad.c.

                                                           {
    /* (5. - sqrt(5.)) / 20, (5. + 3 * sqrt(5.)) / 20 */
    Perm31(.13819660112501051517954131656343619)
};

QUAD_3D_P2_wts

double QUAD_3D_P2_wts[]

static

Initial value:

= {
     .25  , .25  , .25  , .25  
}

Definition at line 1773 of file quad.c.

                                 {
    Dup31(.25)
};

QUAD_3D_P3_

QUAD QUAD_3D_P3_

Initial value:

= {
    "3D P3",            
    3,              
    3,              
     (sizeof(QUAD_3D_P3_wts) / (sizeof(QUAD_3D_P3_wts[0]))) ,   
    QUAD_3D_P3_pts,     
    QUAD_3D_P3_wts,     
    -1              
}

Definition at line 1813 of file quad.c.

                   {
    "3D P3",            /* name */
    3,              /* dim */
    3,              /* order */
    Length(QUAD_3D_P3_wts), /* npoints = 8 */
    QUAD_3D_P3_pts,     /* points */
    QUAD_3D_P3_wts,     /* weights */
    -1              /* id */
};

QUAD_3D_P3_pts

double QUAD_3D_P3_pts[(sizeof(QUAD_3D_P3_wts)/(sizeof(QUAD_3D_P3_wts[0]))) *4]

static

Initial value:

= {
    
     1.  - 3.  *( .32805469671142664733580581998119743  ), .32805469671142664733580581998119743  , .32805469671142664733580581998119743  , .32805469671142664733580581998119743  ,   .32805469671142664733580581998119743  , 1.  - 3.  *( .32805469671142664733580581998119743  ), .32805469671142664733580581998119743  , .32805469671142664733580581998119743  ,   .32805469671142664733580581998119743  , .32805469671142664733580581998119743  , 1.  - 3.  *( .32805469671142664733580581998119743  ), .32805469671142664733580581998119743  ,   .32805469671142664733580581998119743  , .32805469671142664733580581998119743  , .32805469671142664733580581998119743  , 1.  - 3.  *( .32805469671142664733580581998119743  ),
    
     1.  - 3.  *( .10695227393293068277170204157061650  ), .10695227393293068277170204157061650  , .10695227393293068277170204157061650  , .10695227393293068277170204157061650  ,   .10695227393293068277170204157061650  , 1.  - 3.  *( .10695227393293068277170204157061650  ), .10695227393293068277170204157061650  , .10695227393293068277170204157061650  ,   .10695227393293068277170204157061650  , .10695227393293068277170204157061650  , 1.  - 3.  *( .10695227393293068277170204157061650  ), .10695227393293068277170204157061650  ,   .10695227393293068277170204157061650  , .10695227393293068277170204157061650  , .10695227393293068277170204157061650  , 1.  - 3.  *( .10695227393293068277170204157061650  )
}

Definition at line 1806 of file quad.c.

                                                           {
    /* (55 - 3 * sqrt(17) + sqrt(1022 - 134 * sqrt(17))) / 196 */
    Perm31(.32805469671142664733580581998119743),
    /* (55 - 3 * sqrt(17) - sqrt(1022 - 134 * sqrt(17))) / 196 */
    Perm31(.10695227393293068277170204157061650)
};

QUAD_3D_P3_wts

double QUAD_3D_P3_wts[]

static

Initial value:

= {
    
     .13852796651186214232361769837564129  , .13852796651186214232361769837564129  , .13852796651186214232361769837564129  , .13852796651186214232361769837564129  ,
    
     .11147203348813785767638230162435871  , .11147203348813785767638230162435871  , .11147203348813785767638230162435871  , .11147203348813785767638230162435871  
}

Definition at line 1800 of file quad.c.

                                 {
    /* 1 / 8 + sqrt((1715161837 - 406006699 * sqrt(17)) / 23101) / 3120 */
    Dup31(.13852796651186214232361769837564129),
    /* 1 / 8 - sqrt((1715161837 - 406006699 * sqrt(17)) / 23101) / 3120 */
    Dup31(.11147203348813785767638230162435871)
};

QUAD_3D_P4_

QUAD QUAD_3D_P4_

Initial value:

= {
    "3D P4",            
    3,              
    4,              
     (sizeof(QUAD_3D_P4_wts) / (sizeof(QUAD_3D_P4_wts[0]))) ,   
    QUAD_3D_P4_pts,     
    QUAD_3D_P4_wts,     
    -1              
}

Definition at line 1854 of file quad.c.

                   {
    "3D P4",            /* name */
    3,              /* dim */
    4,              /* order */
    Length(QUAD_3D_P4_wts), /* npoints = 14 */
    QUAD_3D_P4_pts,     /* points */
    QUAD_3D_P4_wts,     /* weights */
    -1              /* id */
};

QUAD_3D_P4_pts

double QUAD_3D_P4_pts[(sizeof(QUAD_3D_P4_wts)/(sizeof(QUAD_3D_P4_wts[0]))) *4]

static

Initial value:

= {
     1.  - 3.  *( .09273525031089122628655892066032137  ), .09273525031089122628655892066032137  , .09273525031089122628655892066032137  , .09273525031089122628655892066032137  ,   .09273525031089122628655892066032137  , 1.  - 3.  *( .09273525031089122628655892066032137  ), .09273525031089122628655892066032137  , .09273525031089122628655892066032137  ,   .09273525031089122628655892066032137  , .09273525031089122628655892066032137  , 1.  - 3.  *( .09273525031089122628655892066032137  ), .09273525031089122628655892066032137  ,   .09273525031089122628655892066032137  , .09273525031089122628655892066032137  , .09273525031089122628655892066032137  , 1.  - 3.  *( .09273525031089122628655892066032137  ),
     1.  - 3.  *( .31088591926330060975814749494040332  ), .31088591926330060975814749494040332  , .31088591926330060975814749494040332  , .31088591926330060975814749494040332  ,   .31088591926330060975814749494040332  , 1.  - 3.  *( .31088591926330060975814749494040332  ), .31088591926330060975814749494040332  , .31088591926330060975814749494040332  ,   .31088591926330060975814749494040332  , .31088591926330060975814749494040332  , 1.  - 3.  *( .31088591926330060975814749494040332  ), .31088591926330060975814749494040332  ,   .31088591926330060975814749494040332  , .31088591926330060975814749494040332  , .31088591926330060975814749494040332  , 1.  - 3.  *( .31088591926330060975814749494040332  ),
     .04550370412564965000000000000000000  , .04550370412564965000000000000000000  , .5  -( .04550370412564965000000000000000000  ), .5  -( .04550370412564965000000000000000000  ),   .04550370412564965000000000000000000  , .5  -( .04550370412564965000000000000000000  ), .04550370412564965000000000000000000  , .5  -( .04550370412564965000000000000000000  ),   .04550370412564965000000000000000000  , .5  -( .04550370412564965000000000000000000  ), .5  -( .04550370412564965000000000000000000  ), .04550370412564965000000000000000000  ,   .5  -( .04550370412564965000000000000000000  ), .04550370412564965000000000000000000  , .5  -( .04550370412564965000000000000000000  ), .04550370412564965000000000000000000  ,   .5  -( .04550370412564965000000000000000000  ), .04550370412564965000000000000000000  , .04550370412564965000000000000000000  , .5  -( .04550370412564965000000000000000000  ),   .5  -( .04550370412564965000000000000000000  ), .5  -( .04550370412564965000000000000000000  ), .04550370412564965000000000000000000  , .04550370412564965000000000000000000  
}

Definition at line 1849 of file quad.c.

                                                           {
    Perm31(.09273525031089122628655892066032137),
    Perm31(.31088591926330060975814749494040332),
    Perm22(.04550370412564965000000000000000000)
};

QUAD_3D_P4_wts

double QUAD_3D_P4_wts[]

static

Initial value:

= {
     .07349304311636194934358694586367885  , .07349304311636194934358694586367885  , .07349304311636194934358694586367885  , .07349304311636194934358694586367885  ,
     .11268792571801585036501492847638892  , .11268792571801585036501492847638892  , .11268792571801585036501492847638892  , .11268792571801585036501492847638892  ,
     .04254602077708146686093208377328816  , .04254602077708146686093208377328816  , .04254602077708146686093208377328816  , .04254602077708146686093208377328816  , .04254602077708146686093208377328816  , .04254602077708146686093208377328816  
}

Definition at line 1844 of file quad.c.

                                 {
    Dup31(.07349304311636194934358694586367885),
    Dup31(.11268792571801585036501492847638892),
    Dup22(.04254602077708146686093208377328816)
};

QUAD_3D_P5_

QUAD QUAD_3D_P5_

Initial value:

= {
    "3D P5",            
    3,              
    5,              
     (sizeof(QUAD_3D_P5_wts) / (sizeof(QUAD_3D_P5_wts[0]))) ,   
    QUAD_3D_P5_pts,     
    QUAD_3D_P5_wts,     
    -1              
}

Definition at line 1905 of file quad.c.

                   {
    "3D P5",            /* name */
    3,              /* dim */
    5,              /* order */
    Length(QUAD_3D_P5_wts), /* npoints = 14 */
    QUAD_3D_P5_pts,     /* points */
    QUAD_3D_P5_wts,     /* weights */
    -1              /* id */
};

QUAD_3D_P5_pts

double QUAD_3D_P5_pts[(sizeof(QUAD_3D_P5_wts)/(sizeof(QUAD_3D_P5_wts[0]))) *4]

static

Initial value:

= {
     1.  - 3.  *( .31088591926330060979734573376345783  ), .31088591926330060979734573376345783  , .31088591926330060979734573376345783  , .31088591926330060979734573376345783  ,   .31088591926330060979734573376345783  , 1.  - 3.  *( .31088591926330060979734573376345783  ), .31088591926330060979734573376345783  , .31088591926330060979734573376345783  ,   .31088591926330060979734573376345783  , .31088591926330060979734573376345783  , 1.  - 3.  *( .31088591926330060979734573376345783  ), .31088591926330060979734573376345783  ,   .31088591926330060979734573376345783  , .31088591926330060979734573376345783  , .31088591926330060979734573376345783  , 1.  - 3.  *( .31088591926330060979734573376345783  ),
     1.  - 3.  *( .09273525031089122640232391373703061  ), .09273525031089122640232391373703061  , .09273525031089122640232391373703061  , .09273525031089122640232391373703061  ,   .09273525031089122640232391373703061  , 1.  - 3.  *( .09273525031089122640232391373703061  ), .09273525031089122640232391373703061  , .09273525031089122640232391373703061  ,   .09273525031089122640232391373703061  , .09273525031089122640232391373703061  , 1.  - 3.  *( .09273525031089122640232391373703061  ), .09273525031089122640232391373703061  ,   .09273525031089122640232391373703061  , .09273525031089122640232391373703061  , .09273525031089122640232391373703061  , 1.  - 3.  *( .09273525031089122640232391373703061  ),
     .04550370412564964949188052627933943  , .04550370412564964949188052627933943  , .5  -( .04550370412564964949188052627933943  ), .5  -( .04550370412564964949188052627933943  ),   .04550370412564964949188052627933943  , .5  -( .04550370412564964949188052627933943  ), .04550370412564964949188052627933943  , .5  -( .04550370412564964949188052627933943  ),   .04550370412564964949188052627933943  , .5  -( .04550370412564964949188052627933943  ), .5  -( .04550370412564964949188052627933943  ), .04550370412564964949188052627933943  ,   .5  -( .04550370412564964949188052627933943  ), .04550370412564964949188052627933943  , .5  -( .04550370412564964949188052627933943  ), .04550370412564964949188052627933943  ,   .5  -( .04550370412564964949188052627933943  ), .04550370412564964949188052627933943  , .04550370412564964949188052627933943  , .5  -( .04550370412564964949188052627933943  ),   .5  -( .04550370412564964949188052627933943  ), .5  -( .04550370412564964949188052627933943  ), .04550370412564964949188052627933943  , .04550370412564964949188052627933943  
}

Definition at line 1900 of file quad.c.

                                                           {
    Perm31(.31088591926330060979734573376345783),
    Perm31(.09273525031089122640232391373703061),
    Perm22(.04550370412564964949188052627933943)
};

QUAD_3D_P5_wts

double QUAD_3D_P5_wts[]

static

Initial value:

= {
     .11268792571801585079918565233328633  , .11268792571801585079918565233328633  , .11268792571801585079918565233328633  , .11268792571801585079918565233328633  ,
     .07349304311636194954371020548632750  , .07349304311636194954371020548632750  , .07349304311636194954371020548632750  , .07349304311636194954371020548632750  ,
     .04254602077708146643806942812025744  , .04254602077708146643806942812025744  , .04254602077708146643806942812025744  , .04254602077708146643806942812025744  , .04254602077708146643806942812025744  , .04254602077708146643806942812025744  
 
}

Definition at line 1894 of file quad.c.

                                 {
    Dup31(.11268792571801585079918565233328633),
    Dup31(.07349304311636194954371020548632750),
    Dup22(.04254602077708146643806942812025744)
 
};

QUAD_3D_P6_

QUAD QUAD_3D_P6_

Initial value:

= {
    "3D P6",            
    3,              
    6,              
     (sizeof(QUAD_3D_P6_wts) / (sizeof(QUAD_3D_P6_wts[0]))) ,   
    QUAD_3D_P6_pts,     
    QUAD_3D_P6_wts,     
    -1              
}

Definition at line 1930 of file quad.c.

                   {
    "3D P6",            /* name */
    3,              /* dim */
    6,              /* order */
    Length(QUAD_3D_P6_wts), /* npoints = 24 */
    QUAD_3D_P6_pts,     /* points */
    QUAD_3D_P6_wts,     /* weights */
    -1              /* id */
};

QUAD_3D_P6_pts

double QUAD_3D_P6_pts[(sizeof(QUAD_3D_P6_wts)/(sizeof(QUAD_3D_P6_wts[0]))) *4]

static

Initial value:

= {
     1.  - 3.  *( .21460287125915202928883921938628499  ), .21460287125915202928883921938628499  , .21460287125915202928883921938628499  , .21460287125915202928883921938628499  ,   .21460287125915202928883921938628499  , 1.  - 3.  *( .21460287125915202928883921938628499  ), .21460287125915202928883921938628499  , .21460287125915202928883921938628499  ,   .21460287125915202928883921938628499  , .21460287125915202928883921938628499  , 1.  - 3.  *( .21460287125915202928883921938628499  ), .21460287125915202928883921938628499  ,   .21460287125915202928883921938628499  , .21460287125915202928883921938628499  , .21460287125915202928883921938628499  , 1.  - 3.  *( .21460287125915202928883921938628499  ),
     1.  - 3.  *( .04067395853461135311557944895641006  ), .04067395853461135311557944895641006  , .04067395853461135311557944895641006  , .04067395853461135311557944895641006  ,   .04067395853461135311557944895641006  , 1.  - 3.  *( .04067395853461135311557944895641006  ), .04067395853461135311557944895641006  , .04067395853461135311557944895641006  ,   .04067395853461135311557944895641006  , .04067395853461135311557944895641006  , 1.  - 3.  *( .04067395853461135311557944895641006  ), .04067395853461135311557944895641006  ,   .04067395853461135311557944895641006  , .04067395853461135311557944895641006  , .04067395853461135311557944895641006  , 1.  - 3.  *( .04067395853461135311557944895641006  ),
     1.  - 3.  *( .32233789014227551034399447076249213  ), .32233789014227551034399447076249213  , .32233789014227551034399447076249213  , .32233789014227551034399447076249213  ,   .32233789014227551034399447076249213  , 1.  - 3.  *( .32233789014227551034399447076249213  ), .32233789014227551034399447076249213  , .32233789014227551034399447076249213  ,   .32233789014227551034399447076249213  , .32233789014227551034399447076249213  , 1.  - 3.  *( .32233789014227551034399447076249213  ), .32233789014227551034399447076249213  ,   .32233789014227551034399447076249213  , .32233789014227551034399447076249213  , .32233789014227551034399447076249213  , 1.  - 3.  *( .32233789014227551034399447076249213  ),
    
    
 .06366100187501752529923552760572698  , .06366100187501752529923552760572698  , .60300566479164914136743113906093969  , 1.  -( .06366100187501752529923552760572698  )-( .06366100187501752529923552760572698  )-( .60300566479164914136743113906093969  ),   .06366100187501752529923552760572698  , .06366100187501752529923552760572698  , 1.  -( .06366100187501752529923552760572698  )-( .06366100187501752529923552760572698  )-( .60300566479164914136743113906093969  ), .60300566479164914136743113906093969  ,   .06366100187501752529923552760572698  , .60300566479164914136743113906093969  , .06366100187501752529923552760572698  , 1.  -( .06366100187501752529923552760572698  )-( .06366100187501752529923552760572698  )-( .60300566479164914136743113906093969  ),   .06366100187501752529923552760572698  , .60300566479164914136743113906093969  , 1.  -( .06366100187501752529923552760572698  )-( .06366100187501752529923552760572698  )-( .60300566479164914136743113906093969  ), .06366100187501752529923552760572698  ,   .06366100187501752529923552760572698  , 1.  -( .06366100187501752529923552760572698  )-( .06366100187501752529923552760572698  )-( .60300566479164914136743113906093969  ), .06366100187501752529923552760572698  , .60300566479164914136743113906093969  ,   .06366100187501752529923552760572698  , 1.  -( .06366100187501752529923552760572698  )-( .06366100187501752529923552760572698  )-( .60300566479164914136743113906093969  ), .60300566479164914136743113906093969  , .06366100187501752529923552760572698  ,   .60300566479164914136743113906093969  , .06366100187501752529923552760572698  , .06366100187501752529923552760572698  , 1.  -( .06366100187501752529923552760572698  )-( .06366100187501752529923552760572698  )-( .60300566479164914136743113906093969  ),   .60300566479164914136743113906093969  , .06366100187501752529923552760572698  , 1.  -( .06366100187501752529923552760572698  )-( .06366100187501752529923552760572698  )-( .60300566479164914136743113906093969  ), .06366100187501752529923552760572698  ,   .60300566479164914136743113906093969  , 1.  -( .06366100187501752529923552760572698  )-( .06366100187501752529923552760572698  )-( .60300566479164914136743113906093969  ), .06366100187501752529923552760572698  , .06366100187501752529923552760572698  ,   1.  -( .06366100187501752529923552760572698  )-( .06366100187501752529923552760572698  )-( .60300566479164914136743113906093969  ), .06366100187501752529923552760572698  , .06366100187501752529923552760572698  , .60300566479164914136743113906093969  ,   1.  -( .06366100187501752529923552760572698  )-( .06366100187501752529923552760572698  )-( .60300566479164914136743113906093969  ), .06366100187501752529923552760572698  , .60300566479164914136743113906093969  , .06366100187501752529923552760572698  ,   1.  -( .06366100187501752529923552760572698  )-( .06366100187501752529923552760572698  )-( .60300566479164914136743113906093969  ), .60300566479164914136743113906093969  , .06366100187501752529923552760572698  , .06366100187501752529923552760572698  
}

Definition at line 1922 of file quad.c.

                                                           {
    Perm31(.21460287125915202928883921938628499),
    Perm31(.04067395853461135311557944895641006),
    Perm31(.32233789014227551034399447076249213),
    /* (3 - sqrt(5)) / 12, (5 + sqrt(5)) / 12, (1 + sqrt(5)) / 12 */
    Perm211(.06366100187501752529923552760572698,
        .60300566479164914136743113906093969)
};

QUAD_3D_P6_wts

double QUAD_3D_P6_wts[]

static

Initial value:

= {
     .03992275025816749209969062755747998  , .03992275025816749209969062755747998  , .03992275025816749209969062755747998  , .03992275025816749209969062755747998  ,
     .01007721105532064294801323744593686  , .01007721105532064294801323744593686  , .01007721105532064294801323744593686  , .01007721105532064294801323744593686  ,
     .05535718154365472209515327785372602  , .05535718154365472209515327785372602  , .05535718154365472209515327785372602  , .05535718154365472209515327785372602  ,
     27./560.  , 27./560.  , 27./560.  , 27./560.  , 27./560.  , 27./560.  ,  27./560.  , 27./560.  , 27./560.  , 27./560.  , 27./560.  , 27./560.  
}

Definition at line 1916 of file quad.c.

                                 {
    Dup31(.03992275025816749209969062755747998),
    Dup31(.01007721105532064294801323744593686),
    Dup31(.05535718154365472209515327785372602),
    Dup211(27./560.)
};

QUAD_3D_P7_

QUAD QUAD_3D_P7_

Initial value:

= {
    "3D P7",                    
    3,                          
    7,                          
     (sizeof(QUAD_3D_P7_wts) / (sizeof(QUAD_3D_P7_wts[0]))) ,     
    QUAD_3D_P7_pts,             
    QUAD_3D_P7_wts,             
    -1                          
}

Definition at line 1956 of file quad.c.

                   {
    "3D P7",                    /* name */
    3,                          /* dim */
    7,                          /* order */
    Length(QUAD_3D_P7_wts),     /* npoints = 35 */
    QUAD_3D_P7_pts,             /* points */
    QUAD_3D_P7_wts,             /* weights */
    -1                          /* id */
};

QUAD_3D_P7_pts

double QUAD_3D_P7_pts[(sizeof(QUAD_3D_P7_wts)/(sizeof(QUAD_3D_P7_wts[0]))) *4]

static

Initial value:

= {
     0.25  , 0.25  , 0.25  , 0.25  ,
     1.  - 3.  *( .31570114977820279942342999959331149  ), .31570114977820279942342999959331149  , .31570114977820279942342999959331149  , .31570114977820279942342999959331149  ,   .31570114977820279942342999959331149  , 1.  - 3.  *( .31570114977820279942342999959331149  ), .31570114977820279942342999959331149  , .31570114977820279942342999959331149  ,   .31570114977820279942342999959331149  , .31570114977820279942342999959331149  , 1.  - 3.  *( .31570114977820279942342999959331149  ), .31570114977820279942342999959331149  ,   .31570114977820279942342999959331149  , .31570114977820279942342999959331149  , .31570114977820279942342999959331149  , 1.  - 3.  *( .31570114977820279942342999959331149  ),
     .05048982259839636876305382298656247  , .05048982259839636876305382298656247  , .5  -( .05048982259839636876305382298656247  ), .5  -( .05048982259839636876305382298656247  ),   .05048982259839636876305382298656247  , .5  -( .05048982259839636876305382298656247  ), .05048982259839636876305382298656247  , .5  -( .05048982259839636876305382298656247  ),   .05048982259839636876305382298656247  , .5  -( .05048982259839636876305382298656247  ), .5  -( .05048982259839636876305382298656247  ), .05048982259839636876305382298656247  ,   .5  -( .05048982259839636876305382298656247  ), .05048982259839636876305382298656247  , .5  -( .05048982259839636876305382298656247  ), .05048982259839636876305382298656247  ,   .5  -( .05048982259839636876305382298656247  ), .05048982259839636876305382298656247  , .05048982259839636876305382298656247  , .5  -( .05048982259839636876305382298656247  ),   .5  -( .05048982259839636876305382298656247  ), .5  -( .05048982259839636876305382298656247  ), .05048982259839636876305382298656247  , .05048982259839636876305382298656247  ,
    
 .18883383102600104773643110385458576  , .18883383102600104773643110385458576  , .57517163758700002348324157702230752  , 1.  -( .18883383102600104773643110385458576  )-( .18883383102600104773643110385458576  )-( .57517163758700002348324157702230752  ),   .18883383102600104773643110385458576  , .18883383102600104773643110385458576  , 1.  -( .18883383102600104773643110385458576  )-( .18883383102600104773643110385458576  )-( .57517163758700002348324157702230752  ), .57517163758700002348324157702230752  ,   .18883383102600104773643110385458576  , .57517163758700002348324157702230752  , .18883383102600104773643110385458576  , 1.  -( .18883383102600104773643110385458576  )-( .18883383102600104773643110385458576  )-( .57517163758700002348324157702230752  ),   .18883383102600104773643110385458576  , .57517163758700002348324157702230752  , 1.  -( .18883383102600104773643110385458576  )-( .18883383102600104773643110385458576  )-( .57517163758700002348324157702230752  ), .18883383102600104773643110385458576  ,   .18883383102600104773643110385458576  , 1.  -( .18883383102600104773643110385458576  )-( .18883383102600104773643110385458576  )-( .57517163758700002348324157702230752  ), .18883383102600104773643110385458576  , .57517163758700002348324157702230752  ,   .18883383102600104773643110385458576  , 1.  -( .18883383102600104773643110385458576  )-( .18883383102600104773643110385458576  )-( .57517163758700002348324157702230752  ), .57517163758700002348324157702230752  , .18883383102600104773643110385458576  ,   .57517163758700002348324157702230752  , .18883383102600104773643110385458576  , .18883383102600104773643110385458576  , 1.  -( .18883383102600104773643110385458576  )-( .18883383102600104773643110385458576  )-( .57517163758700002348324157702230752  ),   .57517163758700002348324157702230752  , .18883383102600104773643110385458576  , 1.  -( .18883383102600104773643110385458576  )-( .18883383102600104773643110385458576  )-( .57517163758700002348324157702230752  ), .18883383102600104773643110385458576  ,   .57517163758700002348324157702230752  , 1.  -( .18883383102600104773643110385458576  )-( .18883383102600104773643110385458576  )-( .57517163758700002348324157702230752  ), .18883383102600104773643110385458576  , .18883383102600104773643110385458576  ,   1.  -( .18883383102600104773643110385458576  )-( .18883383102600104773643110385458576  )-( .57517163758700002348324157702230752  ), .18883383102600104773643110385458576  , .18883383102600104773643110385458576  , .57517163758700002348324157702230752  ,   1.  -( .18883383102600104773643110385458576  )-( .18883383102600104773643110385458576  )-( .57517163758700002348324157702230752  ), .18883383102600104773643110385458576  , .57517163758700002348324157702230752  , .18883383102600104773643110385458576  ,   1.  -( .18883383102600104773643110385458576  )-( .18883383102600104773643110385458576  )-( .57517163758700002348324157702230752  ), .57517163758700002348324157702230752  , .18883383102600104773643110385458576  , .18883383102600104773643110385458576  ,
    
 .02126547254148324598883610149981994  , .02126547254148324598883610149981994  , .81083024109854856111810537984823239  , 1.  -( .02126547254148324598883610149981994  )-( .02126547254148324598883610149981994  )-( .81083024109854856111810537984823239  ),   .02126547254148324598883610149981994  , .02126547254148324598883610149981994  , 1.  -( .02126547254148324598883610149981994  )-( .02126547254148324598883610149981994  )-( .81083024109854856111810537984823239  ), .81083024109854856111810537984823239  ,   .02126547254148324598883610149981994  , .81083024109854856111810537984823239  , .02126547254148324598883610149981994  , 1.  -( .02126547254148324598883610149981994  )-( .02126547254148324598883610149981994  )-( .81083024109854856111810537984823239  ),   .02126547254148324598883610149981994  , .81083024109854856111810537984823239  , 1.  -( .02126547254148324598883610149981994  )-( .02126547254148324598883610149981994  )-( .81083024109854856111810537984823239  ), .02126547254148324598883610149981994  ,   .02126547254148324598883610149981994  , 1.  -( .02126547254148324598883610149981994  )-( .02126547254148324598883610149981994  )-( .81083024109854856111810537984823239  ), .02126547254148324598883610149981994  , .81083024109854856111810537984823239  ,   .02126547254148324598883610149981994  , 1.  -( .02126547254148324598883610149981994  )-( .02126547254148324598883610149981994  )-( .81083024109854856111810537984823239  ), .81083024109854856111810537984823239  , .02126547254148324598883610149981994  ,   .81083024109854856111810537984823239  , .02126547254148324598883610149981994  , .02126547254148324598883610149981994  , 1.  -( .02126547254148324598883610149981994  )-( .02126547254148324598883610149981994  )-( .81083024109854856111810537984823239  ),   .81083024109854856111810537984823239  , .02126547254148324598883610149981994  , 1.  -( .02126547254148324598883610149981994  )-( .02126547254148324598883610149981994  )-( .81083024109854856111810537984823239  ), .02126547254148324598883610149981994  ,   .81083024109854856111810537984823239  , 1.  -( .02126547254148324598883610149981994  )-( .02126547254148324598883610149981994  )-( .81083024109854856111810537984823239  ), .02126547254148324598883610149981994  , .02126547254148324598883610149981994  ,   1.  -( .02126547254148324598883610149981994  )-( .02126547254148324598883610149981994  )-( .81083024109854856111810537984823239  ), .02126547254148324598883610149981994  , .02126547254148324598883610149981994  , .81083024109854856111810537984823239  ,   1.  -( .02126547254148324598883610149981994  )-( .02126547254148324598883610149981994  )-( .81083024109854856111810537984823239  ), .02126547254148324598883610149981994  , .81083024109854856111810537984823239  , .02126547254148324598883610149981994  ,   1.  -( .02126547254148324598883610149981994  )-( .02126547254148324598883610149981994  )-( .81083024109854856111810537984823239  ), .81083024109854856111810537984823239  , .02126547254148324598883610149981994  , .02126547254148324598883610149981994  
}

Definition at line 1947 of file quad.c.

                                                           {
    Perm4(.25),
    Perm31(.31570114977820279942342999959331149),
    Perm22(.05048982259839636876305382298656247),
    Perm211(.18883383102600104773643110385458576,
        .57517163758700002348324157702230752),
    Perm211(.02126547254148324598883610149981994,
        .81083024109854856111810537984823239)
};

QUAD_3D_P7_wts

double QUAD_3D_P7_wts[]

static

Initial value:

= {
     .09548528946413084886057843611722638  ,
     .04232958120996702907628617079854674  , .04232958120996702907628617079854674  , .04232958120996702907628617079854674  , .04232958120996702907628617079854674  ,
     .03189692783285757993427482408294246  , .03189692783285757993427482408294246  , .03189692783285757993427482408294246  , .03189692783285757993427482408294246  , .03189692783285757993427482408294246  , .03189692783285757993427482408294246  ,
     .03720713072833462136961556119148112  , .03720713072833462136961556119148112  , .03720713072833462136961556119148112  , .03720713072833462136961556119148112  , .03720713072833462136961556119148112  , .03720713072833462136961556119148112  ,  .03720713072833462136961556119148112  , .03720713072833462136961556119148112  , .03720713072833462136961556119148112  , .03720713072833462136961556119148112  , .03720713072833462136961556119148112  , .03720713072833462136961556119148112  ,
     .00811077082990334156610343349109654  , .00811077082990334156610343349109654  , .00811077082990334156610343349109654  , .00811077082990334156610343349109654  , .00811077082990334156610343349109654  , .00811077082990334156610343349109654  ,  .00811077082990334156610343349109654  , .00811077082990334156610343349109654  , .00811077082990334156610343349109654  , .00811077082990334156610343349109654  , .00811077082990334156610343349109654  , .00811077082990334156610343349109654  
}

Definition at line 1940 of file quad.c.

                                 {
    Dup4(.09548528946413084886057843611722638),
    Dup31(.04232958120996702907628617079854674),
    Dup22(.03189692783285757993427482408294246),
    Dup211(.03720713072833462136961556119148112),
    Dup211(.00811077082990334156610343349109654)
};

QUAD_3D_P8_

QUAD QUAD_3D_P8_

Initial value:

= {
    "3D P8",            
    3,              
    8,              
     (sizeof(QUAD_3D_P8_wts) / (sizeof(QUAD_3D_P8_wts[0]))) ,   
    QUAD_3D_P8_pts,     
    QUAD_3D_P8_wts,     
    -1              
}

Definition at line 1986 of file quad.c.

                   {
    "3D P8",            /* name */
    3,              /* dim */
    8,              /* order */
    Length(QUAD_3D_P8_wts), /* npoints = 46 */
    QUAD_3D_P8_pts,     /* points */
    QUAD_3D_P8_wts,     /* weights */
    -1              /* id */
};

QUAD_3D_P8_pts

double QUAD_3D_P8_pts[(sizeof(QUAD_3D_P8_wts)/(sizeof(QUAD_3D_P8_wts[0]))) *4]

static

Initial value:

= {
     1.  - 3.  *( .03967542307038990126507132953938949  ), .03967542307038990126507132953938949  , .03967542307038990126507132953938949  , .03967542307038990126507132953938949  ,   .03967542307038990126507132953938949  , 1.  - 3.  *( .03967542307038990126507132953938949  ), .03967542307038990126507132953938949  , .03967542307038990126507132953938949  ,   .03967542307038990126507132953938949  , .03967542307038990126507132953938949  , 1.  - 3.  *( .03967542307038990126507132953938949  ), .03967542307038990126507132953938949  ,   .03967542307038990126507132953938949  , .03967542307038990126507132953938949  , .03967542307038990126507132953938949  , 1.  - 3.  *( .03967542307038990126507132953938949  ),
     1.  - 3.  *( .31448780069809631378416056269714830  ), .31448780069809631378416056269714830  , .31448780069809631378416056269714830  , .31448780069809631378416056269714830  ,   .31448780069809631378416056269714830  , 1.  - 3.  *( .31448780069809631378416056269714830  ), .31448780069809631378416056269714830  , .31448780069809631378416056269714830  ,   .31448780069809631378416056269714830  , .31448780069809631378416056269714830  , 1.  - 3.  *( .31448780069809631378416056269714830  ), .31448780069809631378416056269714830  ,   .31448780069809631378416056269714830  , .31448780069809631378416056269714830  , .31448780069809631378416056269714830  , 1.  - 3.  *( .31448780069809631378416056269714830  ),
     1.  - 3.  *( .10198669306270330000000000000000000  ), .10198669306270330000000000000000000  , .10198669306270330000000000000000000  , .10198669306270330000000000000000000  ,   .10198669306270330000000000000000000  , 1.  - 3.  *( .10198669306270330000000000000000000  ), .10198669306270330000000000000000000  , .10198669306270330000000000000000000  ,   .10198669306270330000000000000000000  , .10198669306270330000000000000000000  , 1.  - 3.  *( .10198669306270330000000000000000000  ), .10198669306270330000000000000000000  ,   .10198669306270330000000000000000000  , .10198669306270330000000000000000000  , .10198669306270330000000000000000000  , 1.  - 3.  *( .10198669306270330000000000000000000  ),
     1.  - 3.  *( .18420369694919151227594641734890918  ), .18420369694919151227594641734890918  , .18420369694919151227594641734890918  , .18420369694919151227594641734890918  ,   .18420369694919151227594641734890918  , 1.  - 3.  *( .18420369694919151227594641734890918  ), .18420369694919151227594641734890918  , .18420369694919151227594641734890918  ,   .18420369694919151227594641734890918  , .18420369694919151227594641734890918  , 1.  - 3.  *( .18420369694919151227594641734890918  ), .18420369694919151227594641734890918  ,   .18420369694919151227594641734890918  , .18420369694919151227594641734890918  , .18420369694919151227594641734890918  , 1.  - 3.  *( .18420369694919151227594641734890918  ),
     .06343628775453989240514123870189827  , .06343628775453989240514123870189827  , .5  -( .06343628775453989240514123870189827  ), .5  -( .06343628775453989240514123870189827  ),   .06343628775453989240514123870189827  , .5  -( .06343628775453989240514123870189827  ), .06343628775453989240514123870189827  , .5  -( .06343628775453989240514123870189827  ),   .06343628775453989240514123870189827  , .5  -( .06343628775453989240514123870189827  ), .5  -( .06343628775453989240514123870189827  ), .06343628775453989240514123870189827  ,   .5  -( .06343628775453989240514123870189827  ), .06343628775453989240514123870189827  , .5  -( .06343628775453989240514123870189827  ), .06343628775453989240514123870189827  ,   .5  -( .06343628775453989240514123870189827  ), .06343628775453989240514123870189827  , .06343628775453989240514123870189827  , .5  -( .06343628775453989240514123870189827  ),   .5  -( .06343628775453989240514123870189827  ), .5  -( .06343628775453989240514123870189827  ), .06343628775453989240514123870189827  , .06343628775453989240514123870189827  ,
    
 .02169016206772800480266248262493018  , .02169016206772800480266248262493018  , .71993192203946593588943495335273478  , 1.  -( .02169016206772800480266248262493018  )-( .02169016206772800480266248262493018  )-( .71993192203946593588943495335273478  ),   .02169016206772800480266248262493018  , .02169016206772800480266248262493018  , 1.  -( .02169016206772800480266248262493018  )-( .02169016206772800480266248262493018  )-( .71993192203946593588943495335273478  ), .71993192203946593588943495335273478  ,   .02169016206772800480266248262493018  , .71993192203946593588943495335273478  , .02169016206772800480266248262493018  , 1.  -( .02169016206772800480266248262493018  )-( .02169016206772800480266248262493018  )-( .71993192203946593588943495335273478  ),   .02169016206772800480266248262493018  , .71993192203946593588943495335273478  , 1.  -( .02169016206772800480266248262493018  )-( .02169016206772800480266248262493018  )-( .71993192203946593588943495335273478  ), .02169016206772800480266248262493018  ,   .02169016206772800480266248262493018  , 1.  -( .02169016206772800480266248262493018  )-( .02169016206772800480266248262493018  )-( .71993192203946593588943495335273478  ), .02169016206772800480266248262493018  , .71993192203946593588943495335273478  ,   .02169016206772800480266248262493018  , 1.  -( .02169016206772800480266248262493018  )-( .02169016206772800480266248262493018  )-( .71993192203946593588943495335273478  ), .71993192203946593588943495335273478  , .02169016206772800480266248262493018  ,   .71993192203946593588943495335273478  , .02169016206772800480266248262493018  , .02169016206772800480266248262493018  , 1.  -( .02169016206772800480266248262493018  )-( .02169016206772800480266248262493018  )-( .71993192203946593588943495335273478  ),   .71993192203946593588943495335273478  , .02169016206772800480266248262493018  , 1.  -( .02169016206772800480266248262493018  )-( .02169016206772800480266248262493018  )-( .71993192203946593588943495335273478  ), .02169016206772800480266248262493018  ,   .71993192203946593588943495335273478  , 1.  -( .02169016206772800480266248262493018  )-( .02169016206772800480266248262493018  )-( .71993192203946593588943495335273478  ), .02169016206772800480266248262493018  , .02169016206772800480266248262493018  ,   1.  -( .02169016206772800480266248262493018  )-( .02169016206772800480266248262493018  )-( .71993192203946593588943495335273478  ), .02169016206772800480266248262493018  , .02169016206772800480266248262493018  , .71993192203946593588943495335273478  ,   1.  -( .02169016206772800480266248262493018  )-( .02169016206772800480266248262493018  )-( .71993192203946593588943495335273478  ), .02169016206772800480266248262493018  , .71993192203946593588943495335273478  , .02169016206772800480266248262493018  ,   1.  -( .02169016206772800480266248262493018  )-( .02169016206772800480266248262493018  )-( .71993192203946593588943495335273478  ), .71993192203946593588943495335273478  , .02169016206772800480266248262493018  , .02169016206772800480266248262493018  ,
    
 .20448008063679571424133557487274534  , .20448008063679571424133557487274534  , .58057719012880922417539817139062041  , 1.  -( .20448008063679571424133557487274534  )-( .20448008063679571424133557487274534  )-( .58057719012880922417539817139062041  ),   .20448008063679571424133557487274534  , .20448008063679571424133557487274534  , 1.  -( .20448008063679571424133557487274534  )-( .20448008063679571424133557487274534  )-( .58057719012880922417539817139062041  ), .58057719012880922417539817139062041  ,   .20448008063679571424133557487274534  , .58057719012880922417539817139062041  , .20448008063679571424133557487274534  , 1.  -( .20448008063679571424133557487274534  )-( .20448008063679571424133557487274534  )-( .58057719012880922417539817139062041  ),   .20448008063679571424133557487274534  , .58057719012880922417539817139062041  , 1.  -( .20448008063679571424133557487274534  )-( .20448008063679571424133557487274534  )-( .58057719012880922417539817139062041  ), .20448008063679571424133557487274534  ,   .20448008063679571424133557487274534  , 1.  -( .20448008063679571424133557487274534  )-( .20448008063679571424133557487274534  )-( .58057719012880922417539817139062041  ), .20448008063679571424133557487274534  , .58057719012880922417539817139062041  ,   .20448008063679571424133557487274534  , 1.  -( .20448008063679571424133557487274534  )-( .20448008063679571424133557487274534  )-( .58057719012880922417539817139062041  ), .58057719012880922417539817139062041  , .20448008063679571424133557487274534  ,   .58057719012880922417539817139062041  , .20448008063679571424133557487274534  , .20448008063679571424133557487274534  , 1.  -( .20448008063679571424133557487274534  )-( .20448008063679571424133557487274534  )-( .58057719012880922417539817139062041  ),   .58057719012880922417539817139062041  , .20448008063679571424133557487274534  , 1.  -( .20448008063679571424133557487274534  )-( .20448008063679571424133557487274534  )-( .58057719012880922417539817139062041  ), .20448008063679571424133557487274534  ,   .58057719012880922417539817139062041  , 1.  -( .20448008063679571424133557487274534  )-( .20448008063679571424133557487274534  )-( .58057719012880922417539817139062041  ), .20448008063679571424133557487274534  , .20448008063679571424133557487274534  ,   1.  -( .20448008063679571424133557487274534  )-( .20448008063679571424133557487274534  )-( .58057719012880922417539817139062041  ), .20448008063679571424133557487274534  , .20448008063679571424133557487274534  , .58057719012880922417539817139062041  ,   1.  -( .20448008063679571424133557487274534  )-( .20448008063679571424133557487274534  )-( .58057719012880922417539817139062041  ), .20448008063679571424133557487274534  , .58057719012880922417539817139062041  , .20448008063679571424133557487274534  ,   1.  -( .20448008063679571424133557487274534  )-( .20448008063679571424133557487274534  )-( .58057719012880922417539817139062041  ), .58057719012880922417539817139062041  , .20448008063679571424133557487274534  , .20448008063679571424133557487274534  
}

Definition at line 1975 of file quad.c.

                                                           {
    Perm31(.03967542307038990126507132953938949),
    Perm31(.31448780069809631378416056269714830),
    Perm31(.10198669306270330000000000000000000),
    Perm31(.18420369694919151227594641734890918),
    Perm22(.06343628775453989240514123870189827),
    Perm211(.02169016206772800480266248262493018,
        .71993192203946593588943495335273478),
    Perm211(.20448008063679571424133557487274534,
        .58057719012880922417539817139062041)
};

QUAD_3D_P8_wts

double QUAD_3D_P8_wts[]

static

Initial value:

= {
     .00639714777990232132145142033517302  , .00639714777990232132145142033517302  , .00639714777990232132145142033517302  , .00639714777990232132145142033517302  ,
     .04019044802096617248816115847981783  , .04019044802096617248816115847981783  , .04019044802096617248816115847981783  , .04019044802096617248816115847981783  ,
     .02430797550477032117486910877192260  , .02430797550477032117486910877192260  , .02430797550477032117486910877192260  , .02430797550477032117486910877192260  ,
     .05485889241369744046692412399039144  , .05485889241369744046692412399039144  , .05485889241369744046692412399039144  , .05485889241369744046692412399039144  ,
     .03571961223409918246495096899661762  , .03571961223409918246495096899661762  , .03571961223409918246495096899661762  , .03571961223409918246495096899661762  , .03571961223409918246495096899661762  , .03571961223409918246495096899661762  ,
     .00718319069785253940945110521980376  , .00718319069785253940945110521980376  , .00718319069785253940945110521980376  , .00718319069785253940945110521980376  , .00718319069785253940945110521980376  , .00718319069785253940945110521980376  ,  .00718319069785253940945110521980376  , .00718319069785253940945110521980376  , .00718319069785253940945110521980376  , .00718319069785253940945110521980376  , .00718319069785253940945110521980376  , .00718319069785253940945110521980376  ,
     .01637218194531911754093813975611913  , .01637218194531911754093813975611913  , .01637218194531911754093813975611913  , .01637218194531911754093813975611913  , .01637218194531911754093813975611913  , .01637218194531911754093813975611913  ,  .01637218194531911754093813975611913  , .01637218194531911754093813975611913  , .01637218194531911754093813975611913  , .01637218194531911754093813975611913  , .01637218194531911754093813975611913  , .01637218194531911754093813975611913  
}

Definition at line 1966 of file quad.c.

                                 {
    Dup31(.00639714777990232132145142033517302),
    Dup31(.04019044802096617248816115847981783),
    Dup31(.02430797550477032117486910877192260),
    Dup31(.05485889241369744046692412399039144),
    Dup22(.03571961223409918246495096899661762),
    Dup211(.00718319069785253940945110521980376),
    Dup211(.01637218194531911754093813975611913)
};

QUAD_3D_P9_

QUAD QUAD_3D_P9_

Initial value:

= {
    "3D P9",            
    3,              
    9,              
     (sizeof(QUAD_3D_P9_wts) / (sizeof(QUAD_3D_P9_wts[0]))) ,   
    QUAD_3D_P9_pts,     
    QUAD_3D_P9_wts,     
    -1              
}

Definition at line 2018 of file quad.c.

                   {
    "3D P9",            /* name */
    3,              /* dim */
    9,              /* order */
    Length(QUAD_3D_P9_wts), /* npoints = 59 */
    QUAD_3D_P9_pts,     /* points */
    QUAD_3D_P9_wts,     /* weights */
    -1              /* id */
};

QUAD_3D_P9_pts

double QUAD_3D_P9_pts[(sizeof(QUAD_3D_P9_wts)/(sizeof(QUAD_3D_P9_wts[0]))) *4]

static

Initial value:

= {
     0.25  , 0.25  , 0.25  , 0.25  ,
     1.  - 3.  *( .03785502061999503609086515586175707  ), .03785502061999503609086515586175707  , .03785502061999503609086515586175707  , .03785502061999503609086515586175707  ,   .03785502061999503609086515586175707  , 1.  - 3.  *( .03785502061999503609086515586175707  ), .03785502061999503609086515586175707  , .03785502061999503609086515586175707  ,   .03785502061999503609086515586175707  , .03785502061999503609086515586175707  , 1.  - 3.  *( .03785502061999503609086515586175707  ), .03785502061999503609086515586175707  ,   .03785502061999503609086515586175707  , .03785502061999503609086515586175707  , .03785502061999503609086515586175707  , 1.  - 3.  *( .03785502061999503609086515586175707  ),
     1.  - 3.  *( .16954439965012220000000000000000000  ), .16954439965012220000000000000000000  , .16954439965012220000000000000000000  , .16954439965012220000000000000000000  ,   .16954439965012220000000000000000000  , 1.  - 3.  *( .16954439965012220000000000000000000  ), .16954439965012220000000000000000000  , .16954439965012220000000000000000000  ,   .16954439965012220000000000000000000  , .16954439965012220000000000000000000  , 1.  - 3.  *( .16954439965012220000000000000000000  ), .16954439965012220000000000000000000  ,   .16954439965012220000000000000000000  , .16954439965012220000000000000000000  , .16954439965012220000000000000000000  , 1.  - 3.  *( .16954439965012220000000000000000000  ),
     1.  - 3.  *( .05484140424416689000000000000000000  ), .05484140424416689000000000000000000  , .05484140424416689000000000000000000  , .05484140424416689000000000000000000  ,   .05484140424416689000000000000000000  , 1.  - 3.  *( .05484140424416689000000000000000000  ), .05484140424416689000000000000000000  , .05484140424416689000000000000000000  ,   .05484140424416689000000000000000000  , .05484140424416689000000000000000000  , 1.  - 3.  *( .05484140424416689000000000000000000  ), .05484140424416689000000000000000000  ,   .05484140424416689000000000000000000  , .05484140424416689000000000000000000  , .05484140424416689000000000000000000  , 1.  - 3.  *( .05484140424416689000000000000000000  ),
     1.  - 3.  *( .32229717190921058836777748445908171  ), .32229717190921058836777748445908171  , .32229717190921058836777748445908171  , .32229717190921058836777748445908171  ,   .32229717190921058836777748445908171  , 1.  - 3.  *( .32229717190921058836777748445908171  ), .32229717190921058836777748445908171  , .32229717190921058836777748445908171  ,   .32229717190921058836777748445908171  , .32229717190921058836777748445908171  , 1.  - 3.  *( .32229717190921058836777748445908171  ), .32229717190921058836777748445908171  ,   .32229717190921058836777748445908171  , .32229717190921058836777748445908171  , .32229717190921058836777748445908171  , 1.  - 3.  *( .32229717190921058836777748445908171  ),
     .10961777508972033704050355954365052  , .10961777508972033704050355954365052  , .5  -( .10961777508972033704050355954365052  ), .5  -( .10961777508972033704050355954365052  ),   .10961777508972033704050355954365052  , .5  -( .10961777508972033704050355954365052  ), .10961777508972033704050355954365052  , .5  -( .10961777508972033704050355954365052  ),   .10961777508972033704050355954365052  , .5  -( .10961777508972033704050355954365052  ), .5  -( .10961777508972033704050355954365052  ), .10961777508972033704050355954365052  ,   .5  -( .10961777508972033704050355954365052  ), .10961777508972033704050355954365052  , .5  -( .10961777508972033704050355954365052  ), .10961777508972033704050355954365052  ,   .5  -( .10961777508972033704050355954365052  ), .10961777508972033704050355954365052  , .10961777508972033704050355954365052  , .5  -( .10961777508972033704050355954365052  ),   .5  -( .10961777508972033704050355954365052  ), .5  -( .10961777508972033704050355954365052  ), .10961777508972033704050355954365052  , .10961777508972033704050355954365052  ,
     .45915766038590539763886410168178216  , .45915766038590539763886410168178216  , .08004485927247373376034330857923567  , 1.  -( .45915766038590539763886410168178216  )-( .45915766038590539763886410168178216  )-( .08004485927247373376034330857923567  ),   .45915766038590539763886410168178216  , .45915766038590539763886410168178216  , 1.  -( .45915766038590539763886410168178216  )-( .45915766038590539763886410168178216  )-( .08004485927247373376034330857923567  ), .08004485927247373376034330857923567  ,   .45915766038590539763886410168178216  , .08004485927247373376034330857923567  , .45915766038590539763886410168178216  , 1.  -( .45915766038590539763886410168178216  )-( .45915766038590539763886410168178216  )-( .08004485927247373376034330857923567  ),   .45915766038590539763886410168178216  , .08004485927247373376034330857923567  , 1.  -( .45915766038590539763886410168178216  )-( .45915766038590539763886410168178216  )-( .08004485927247373376034330857923567  ), .45915766038590539763886410168178216  ,   .45915766038590539763886410168178216  , 1.  -( .45915766038590539763886410168178216  )-( .45915766038590539763886410168178216  )-( .08004485927247373376034330857923567  ), .45915766038590539763886410168178216  , .08004485927247373376034330857923567  ,   .45915766038590539763886410168178216  , 1.  -( .45915766038590539763886410168178216  )-( .45915766038590539763886410168178216  )-( .08004485927247373376034330857923567  ), .08004485927247373376034330857923567  , .45915766038590539763886410168178216  ,   .08004485927247373376034330857923567  , .45915766038590539763886410168178216  , .45915766038590539763886410168178216  , 1.  -( .45915766038590539763886410168178216  )-( .45915766038590539763886410168178216  )-( .08004485927247373376034330857923567  ),   .08004485927247373376034330857923567  , .45915766038590539763886410168178216  , 1.  -( .45915766038590539763886410168178216  )-( .45915766038590539763886410168178216  )-( .08004485927247373376034330857923567  ), .45915766038590539763886410168178216  ,   .08004485927247373376034330857923567  , 1.  -( .45915766038590539763886410168178216  )-( .45915766038590539763886410168178216  )-( .08004485927247373376034330857923567  ), .45915766038590539763886410168178216  , .45915766038590539763886410168178216  ,   1.  -( .45915766038590539763886410168178216  )-( .45915766038590539763886410168178216  )-( .08004485927247373376034330857923567  ), .45915766038590539763886410168178216  , .45915766038590539763886410168178216  , .08004485927247373376034330857923567  ,   1.  -( .45915766038590539763886410168178216  )-( .45915766038590539763886410168178216  )-( .08004485927247373376034330857923567  ), .45915766038590539763886410168178216  , .08004485927247373376034330857923567  , .45915766038590539763886410168178216  ,   1.  -( .45915766038590539763886410168178216  )-( .45915766038590539763886410168178216  )-( .08004485927247373376034330857923567  ), .08004485927247373376034330857923567  , .45915766038590539763886410168178216  , .45915766038590539763886410168178216  ,
     .03296694775357210169727386483414899  , .03296694775357210169727386483414899  , .71879584022434055051132299796383374  , 1.  -( .03296694775357210169727386483414899  )-( .03296694775357210169727386483414899  )-( .71879584022434055051132299796383374  ),   .03296694775357210169727386483414899  , .03296694775357210169727386483414899  , 1.  -( .03296694775357210169727386483414899  )-( .03296694775357210169727386483414899  )-( .71879584022434055051132299796383374  ), .71879584022434055051132299796383374  ,   .03296694775357210169727386483414899  , .71879584022434055051132299796383374  , .03296694775357210169727386483414899  , 1.  -( .03296694775357210169727386483414899  )-( .03296694775357210169727386483414899  )-( .71879584022434055051132299796383374  ),   .03296694775357210169727386483414899  , .71879584022434055051132299796383374  , 1.  -( .03296694775357210169727386483414899  )-( .03296694775357210169727386483414899  )-( .71879584022434055051132299796383374  ), .03296694775357210169727386483414899  ,   .03296694775357210169727386483414899  , 1.  -( .03296694775357210169727386483414899  )-( .03296694775357210169727386483414899  )-( .71879584022434055051132299796383374  ), .03296694775357210169727386483414899  , .71879584022434055051132299796383374  ,   .03296694775357210169727386483414899  , 1.  -( .03296694775357210169727386483414899  )-( .03296694775357210169727386483414899  )-( .71879584022434055051132299796383374  ), .71879584022434055051132299796383374  , .03296694775357210169727386483414899  ,   .71879584022434055051132299796383374  , .03296694775357210169727386483414899  , .03296694775357210169727386483414899  , 1.  -( .03296694775357210169727386483414899  )-( .03296694775357210169727386483414899  )-( .71879584022434055051132299796383374  ),   .71879584022434055051132299796383374  , .03296694775357210169727386483414899  , 1.  -( .03296694775357210169727386483414899  )-( .03296694775357210169727386483414899  )-( .71879584022434055051132299796383374  ), .03296694775357210169727386483414899  ,   .71879584022434055051132299796383374  , 1.  -( .03296694775357210169727386483414899  )-( .03296694775357210169727386483414899  )-( .71879584022434055051132299796383374  ), .03296694775357210169727386483414899  , .03296694775357210169727386483414899  ,   1.  -( .03296694775357210169727386483414899  )-( .03296694775357210169727386483414899  )-( .71879584022434055051132299796383374  ), .03296694775357210169727386483414899  , .03296694775357210169727386483414899  , .71879584022434055051132299796383374  ,   1.  -( .03296694775357210169727386483414899  )-( .03296694775357210169727386483414899  )-( .71879584022434055051132299796383374  ), .03296694775357210169727386483414899  , .71879584022434055051132299796383374  , .03296694775357210169727386483414899  ,   1.  -( .03296694775357210169727386483414899  )-( .03296694775357210169727386483414899  )-( .71879584022434055051132299796383374  ), .71879584022434055051132299796383374  , .03296694775357210169727386483414899  , .03296694775357210169727386483414899  ,
     .18174359672117481549870278661377760  , .18174359672117481549870278661377760  , .60023700739524674102301240348069459  , 1.  -( .18174359672117481549870278661377760  )-( .18174359672117481549870278661377760  )-( .60023700739524674102301240348069459  ),   .18174359672117481549870278661377760  , .18174359672117481549870278661377760  , 1.  -( .18174359672117481549870278661377760  )-( .18174359672117481549870278661377760  )-( .60023700739524674102301240348069459  ), .60023700739524674102301240348069459  ,   .18174359672117481549870278661377760  , .60023700739524674102301240348069459  , .18174359672117481549870278661377760  , 1.  -( .18174359672117481549870278661377760  )-( .18174359672117481549870278661377760  )-( .60023700739524674102301240348069459  ),   .18174359672117481549870278661377760  , .60023700739524674102301240348069459  , 1.  -( .18174359672117481549870278661377760  )-( .18174359672117481549870278661377760  )-( .60023700739524674102301240348069459  ), .18174359672117481549870278661377760  ,   .18174359672117481549870278661377760  , 1.  -( .18174359672117481549870278661377760  )-( .18174359672117481549870278661377760  )-( .60023700739524674102301240348069459  ), .18174359672117481549870278661377760  , .60023700739524674102301240348069459  ,   .18174359672117481549870278661377760  , 1.  -( .18174359672117481549870278661377760  )-( .18174359672117481549870278661377760  )-( .60023700739524674102301240348069459  ), .60023700739524674102301240348069459  , .18174359672117481549870278661377760  ,   .60023700739524674102301240348069459  , .18174359672117481549870278661377760  , .18174359672117481549870278661377760  , 1.  -( .18174359672117481549870278661377760  )-( .18174359672117481549870278661377760  )-( .60023700739524674102301240348069459  ),   .60023700739524674102301240348069459  , .18174359672117481549870278661377760  , 1.  -( .18174359672117481549870278661377760  )-( .18174359672117481549870278661377760  )-( .60023700739524674102301240348069459  ), .18174359672117481549870278661377760  ,   .60023700739524674102301240348069459  , 1.  -( .18174359672117481549870278661377760  )-( .18174359672117481549870278661377760  )-( .60023700739524674102301240348069459  ), .18174359672117481549870278661377760  , .18174359672117481549870278661377760  ,   1.  -( .18174359672117481549870278661377760  )-( .18174359672117481549870278661377760  )-( .60023700739524674102301240348069459  ), .18174359672117481549870278661377760  , .18174359672117481549870278661377760  , .60023700739524674102301240348069459  ,   1.  -( .18174359672117481549870278661377760  )-( .18174359672117481549870278661377760  )-( .60023700739524674102301240348069459  ), .18174359672117481549870278661377760  , .60023700739524674102301240348069459  , .18174359672117481549870278661377760  ,   1.  -( .18174359672117481549870278661377760  )-( .18174359672117481549870278661377760  )-( .60023700739524674102301240348069459  ), .60023700739524674102301240348069459  , .18174359672117481549870278661377760  , .18174359672117481549870278661377760  
}

Definition at line 2007 of file quad.c.

                                                           {
    Perm4(.25000000000000000000000000000000000),
    Perm31(.03785502061999503609086515586175707),
    Perm31(.16954439965012220000000000000000000),
    Perm31(.05484140424416689000000000000000000),
    Perm31(.32229717190921058836777748445908171),
    Perm22(.10961777508972033704050355954365052),
    Perm211(.45915766038590539763886410168178216,.08004485927247373376034330857923567),
    Perm211(.03296694775357210169727386483414899,.71879584022434055051132299796383374),
    Perm211(.18174359672117481549870278661377760,.60023700739524674102301240348069459)
};

QUAD_3D_P9_wts

double QUAD_3D_P9_wts[]

static

Initial value:

= {
     .05489853459364812686895885032391298  ,
     .00421825735654367356185795185819147  , .00421825735654367356185795185819147  , .00421825735654367356185795185819147  , .00421825735654367356185795185819147  ,
     .02348412311384798927791501022996111  , .02348412311384798927791501022996111  , .02348412311384798927791501022996111  , .02348412311384798927791501022996111  ,
     .00421283454980389148648831814037819  , .00421283454980389148648831814037819  , .00421283454980389148648831814037819  , .00421283454980389148648831814037819  ,
     .02994712640542812769203037546126163  , .02994712640542812769203037546126163  , .02994712640542812769203037546126163  , .02994712640542812769203037546126163  ,
     .03695441750679136335292416138761121  , .03695441750679136335292416138761121  , .03695441750679136335292416138761121  , .03695441750679136335292416138761121  , .03695441750679136335292416138761121  , .03695441750679136335292416138761121  ,
     .00817349224171051348425319650294732  , .00817349224171051348425319650294732  , .00817349224171051348425319650294732  , .00817349224171051348425319650294732  , .00817349224171051348425319650294732  , .00817349224171051348425319650294732  ,  .00817349224171051348425319650294732  , .00817349224171051348425319650294732  , .00817349224171051348425319650294732  , .00817349224171051348425319650294732  , .00817349224171051348425319650294732  , .00817349224171051348425319650294732  ,
     .00987978656102278957913113314297149  , .00987978656102278957913113314297149  , .00987978656102278957913113314297149  , .00987978656102278957913113314297149  , .00987978656102278957913113314297149  , .00987978656102278957913113314297149  ,  .00987978656102278957913113314297149  , .00987978656102278957913113314297149  , .00987978656102278957913113314297149  , .00987978656102278957913113314297149  , .00987978656102278957913113314297149  , .00987978656102278957913113314297149  ,
     .02160718741919244401497646690335203  , .02160718741919244401497646690335203  , .02160718741919244401497646690335203  , .02160718741919244401497646690335203  , .02160718741919244401497646690335203  , .02160718741919244401497646690335203  ,  .02160718741919244401497646690335203  , .02160718741919244401497646690335203  , .02160718741919244401497646690335203  , .02160718741919244401497646690335203  , .02160718741919244401497646690335203  , .02160718741919244401497646690335203  
}

Definition at line 1996 of file quad.c.

                                 {
    Dup4(.05489853459364812686895885032391298),
    Dup31(.00421825735654367356185795185819147),
    Dup31(.02348412311384798927791501022996111),
    Dup31(.00421283454980389148648831814037819),
    Dup31(.02994712640542812769203037546126163),
    Dup22(.03695441750679136335292416138761121),
    Dup211(.00817349224171051348425319650294732),
    Dup211(.00987978656102278957913113314297149),
    Dup211(.02160718741919244401497646690335203)
};