xref: /phasta/phSolver/common/symhex.c (revision f34e7d5c3a49cb906a9e07fd0f29f9302f3124dc)

#include <stdlib.h>

#include <FCMangle.h>
#define symhex FortranCInterface_GLOBAL_(symhex, SYMHEX)

typedef double DARR4[4];

int hexIntPnt(int,DARR4**,double **);

void symhex(int *n1, double pt[][4], double wt[], int *err)
{
  double *lwt;
  DARR4 *lpt;
  int i,j;
  *err = hexIntPnt(*n1, &lpt, &lwt);
  for(i=0; i < *n1; i++) {
    wt[i] = lwt[i];
    for(j=0; j <4; j++)
      pt[i][j]=lpt[i][j];
  }
}

/*$Id$*/
#include <stdio.h>

/* these are the rule 2 int points and weights */

#define Qp21 -0.577350269189626
#define Qp22  0.577350269189626
#define Qw2   1.000000000000000

/* these are the rule 3 int points and weights */

#define Qp31  -0.774596669241483
#define Qp32   0.000000000000000
#define Qp33   0.774596669241483
#define Qw31   0.555555555555556
#define Qw32   0.888888888888889
#define Qw33   0.555555555555556
#define Qw311  0.308641975308642
#define Qw321  0.493827160493831
#define Qw322  0.790123456790124


#define Qw3111 0.171467764060361
#define Qw3112 0.274348422496571
#define Qw3113 0.171467764060361
#define Qw3121 0.274348422496571
#define Qw3122 0.438957475994513
#define Qw3123 0.274348422496571
#define Qw3131 0.171467764060361
#define Qw3132 0.274348422496571
#define Qw3133 0.171467764060361

#define Qw3211 0.274348422496571
#define Qw3212 0.438957475994513
#define Qw3213 0.274348422496571
#define Qw3221 0.438957475994513
#define Qw3222 0.702331961591221
#define Qw3223 0.438957475994513
#define Qw3231 0.274348422496571
#define Qw3232 0.438957475994513
#define Qw3233 0.274348422496571

#define Qw3311 0.171467764060361
#define Qw3312 0.274348422496571
#define Qw3313 0.171467764060361
#define Qw3321 0.274348422496571
#define Qw3322 0.438957475994513
#define Qw3323 0.274348422496571
#define Qw3331 0.171467764060361
#define Qw3332 0.274348422496571
#define Qw3333 0.171467764060357

/* Rule 1*/

static double  rstw1[][4] = {
  { 0.0, 0.0, 0.0, 0.0 }
};

static double twt1[] = { 8.0000000 };


/* Rule 2*/


static double rstw8[][4] = {
  {Qp21,Qp21,Qp21,0.0},
  {Qp22,Qp21,Qp21,0.0},
  {Qp21,Qp22,Qp21,0.0},
  {Qp22,Qp22,Qp21,0.0},
  {Qp21,Qp21,Qp22,0.0},
  {Qp22,Qp21,Qp22,0.0},
  {Qp21,Qp22,Qp22,0.0},
  {Qp22,Qp22,Qp22,0.0}
};

static double twt8[] = {Qw2,Qw2,Qw2,Qw2,Qw2,Qw2,Qw2,Qw2};

/* Rule 3*/

static double rstw27[][4] = {
  { Qp31,  Qp31,  Qp31,  0.0 },
  { Qp32,  Qp31,  Qp31,  0.0 },
  { Qp33,  Qp31,  Qp31,  0.0 },
  { Qp31,  Qp32,  Qp31,  0.0 },
  { Qp32,  Qp32,  Qp31,  0.0 },
  { Qp33,  Qp32,  Qp31,  0.0 },
  { Qp31,  Qp33,  Qp31,  0.0 },
  { Qp32,  Qp33,  Qp31,  0.0 },
  { Qp33,  Qp33,  Qp31,  0.0 },
  { Qp31,  Qp31,  Qp32,  0.0 },
  { Qp32,  Qp31,  Qp32,  0.0 },
  { Qp33,  Qp31,  Qp32,  0.0 },
  { Qp31,  Qp32,  Qp32,  0.0 },
  { Qp32,  Qp32,  Qp32,  0.0 },
  { Qp33,  Qp32,  Qp32,  0.0 },
  { Qp31,  Qp33,  Qp32,  0.0 },
  { Qp32,  Qp33,  Qp32,  0.0 },
  { Qp33,  Qp33,  Qp32,  0.0 },
  { Qp31,  Qp31,  Qp33,  0.0 },
  { Qp32,  Qp31,  Qp33,  0.0 },
  { Qp33,  Qp31,  Qp33,  0.0 },
  { Qp31,  Qp32,  Qp33,  0.0 },
  { Qp32,  Qp32,  Qp33,  0.0 },
  { Qp33,  Qp32,  Qp33,  0.0 },
  { Qp31,  Qp33,  Qp33,  0.0 },
  { Qp32,  Qp33,  Qp33,  0.0 },
  { Qp33,  Qp33,  Qp33,  0.0 }
};


static double twt27[] =
{ Qw3111, Qw3211, Qw3311, Qw3121, Qw3221, Qw3321, Qw3131, Qw3231, Qw3331,
  Qw3112, Qw3212, Qw3312, Qw3122, Qw3222, Qw3322, Qw3132, Qw3232, Qw3332,
  Qw3113, Qw3213, Qw3313, Qw3123, Qw3223, Qw3323, Qw3133, Qw3233, Qw3333 };



#ifdef __cplusplus
extern "C" {
#endif

int hexIntPnt(int nint, DARR4 **bcord, double **wt)
{
  int retval = 1;
  int i,j,k,l;
  DARR4 *rstw;
  double *twt;

  /* Rule 4 & 5*/
  /* rule 5 has not been tested */
  double bp4[]={-0.8611363115940526,-0.3399810435848563,0.339981043584856,0.8611363115940526};
  double bp5[]={-0.9061798459386640,-0.5384693101056831,0,0.5384693101056831,0.9061798459386640};
  double bw4[]={0.3478548451374539,0.6521451548625461,0.6521451548625461,0.3478548451374539};
  double bw5[]={0.2369268850561891,0.4786286704993665,0.5688888888888889,0.4786286704993665,0.2369268850561891};


  if( nint == 1){ *bcord = rstw1; *wt = twt1;}

  else if( nint == 8 ){*bcord = rstw8 ; *wt = twt8; }

  else if( nint == 27 ) {*bcord = rstw27 ; *wt = twt27; }

  else if( nint == 64 ) {

    rstw = (DARR4 *)malloc(64*sizeof(DARR4));
    twt   = (double *)malloc(64*sizeof(double));

    i=j=k=0;

    for(l=0;l<64;l++){
      rstw[l][0]=bp4[i];
      rstw[l][1]=bp4[j];
      rstw[l][2]=bp4[k];
      rstw[l][3]=0.0;
      twt[l]=bw4[i]*bw4[j]*bw4[k];
      i++;
      if(i == 4){
	i=0 ; j++ ;
	if(j == 4) { j=0; k++;}
      }
    }
    *bcord = rstw; *wt = twt;

  } else if( nint == 125) {

    rstw = (DARR4 *)malloc(125*sizeof(DARR4));
    twt   = (double *)malloc(125*sizeof(double));

    i=j=k=0;

    for(l=0;l<125;l++){
      rstw[l][0]=bp5[i];
      rstw[l][1]=bp5[j];
      rstw[l][2]=bp5[k];
      rstw[l][3]=0.0;
      twt[l]=bw5[i]*bw5[j]*bw5[k];
      i++;
      if(i == 5){
	i=0 ; j++ ;
	if(j == 5) { j=0; k++;}
      }
    }
    *bcord = rstw; *wt = twt;

  } else {

    fprintf(stderr,"\n%d integration points unsupported; give {8,27,64,125,.}\n",nint);
    retval = 0;
  }
  return retval ;
}

#ifdef __cplusplus
}
#endif