xref: /phasta/shapeFunction/src/blendDrv.c (revision 595995161822a203c8467e0e4a253d7bd7d6df32)

/*-------------------------------------------------------------------------
  Scientific Computation Research Center, RPI, Troy NY
  (C) Copyright 1995, RPI-SCOREC

  Project  : shapeFuntions
  Author(s): Saikat Dey
  Creation : Oct., 95
  Modifi.  :
  Function :
             evaluate derivatives of entity blend functions over other
             entities.
-------------------------------------------------------------------------*/

#include <math.h>
#include "shapeFuncInternals.h"

#ifdef __cplusplus
extern "C" {
#endif

int V_blendOnEntityDrv(int index, int etype, double *L, double mdrv[3]) {
  /* derivative of blend a vertex mode on a mesh entity */
  if( etype == Sedge ) {
    if(index == 0) /* N = 0.5(1-zi) */
      mdrv[0] = -0.5;
    else           /* N = 0.5(1+zi) */
      mdrv[0] = +0.5;
    return 1 ;
  } else if( etype == Stri ) {
    mdrv[0] = mdrv[1] = 0.0;
    if( index == 2 )
      mdrv[0] = mdrv[1] = -1.0;
    else
      mdrv[index] = 1.0;
    return 1 ;
  } else if ( etype == Stet ) {
    mdrv[0] = mdrv[1] = mdrv[2] = 0.0;
    if( index == 3 )
      mdrv[0] = mdrv[1] = mdrv[2] = -1.0;
    else
      mdrv[index] = 1.0;
    return 1;
  } else
    return 0;
}

int E_blendOnFaceDrv(int index[], int etype, double *L, double bdrv[2]) {
  if( etype == Stri )
    return F_edgeBlendTriDrv(index, L, bdrv);
  else
    return 0;
}

int F_edgeBlendTriDrv(int index[2], double *L, double drv[]) {
  double r,s;

  drv[0] = drv[1] = 0.0;
  r = L[0] ; s = L[1] ;

  /* figure out which edge we are dealing with */
   /* v0=0, V1=1 */
   if( (index[0]==0 && index[1]==1) || (index[0]==1 && index[1]==0) ) {
      drv[0] = -2.0*s;
      drv[1] = -2.0*r;
   /* v0=1, V1=2 */
   } else if( (index[0]==1 && index[1]==2) || (index[0]==2 && index[1]==1) ) {
      drv[0] = 2.0*s;
      drv[1] = -2.0+2.0*r+4.0*s;
   /* v0=2, V1=0 */
   } else if( (index[0]==2 && index[1]==0) || (index[0]==0 && index[1]==2) ) {
      drv[0] = 4.0*r-2.0+2.0*s;
      drv[1] = 2.0*r;
    } else
      return 0;

  return 1 ;
}

int E_blendOnRegionDrv(int index[], int etype, double *L, double bdrv[3]) {
  if( etype == 4 )
      return R_edgeBlendTetDrv(index, L, bdrv);
  else
    return 0;
}

int F_blendOnRegionDrv(int index[], int etype, double *L, double drv[3]) {
  /* blend a face mode on a region */
  drv[0] = drv[1] = drv[2] = 0.0;
  if(etype==Stet )
    return 1;
  else
    return 0;
}

int R_edgeBlendTetDrv(int *index, double *L, double drv[]) {
  double r=L[0],s=L[1],t=L[2];

  /* the blend is given by -2*L[i]*L[j] */
   /* v0=0, V1=1 */
   if( (index[0]==0 && index[1]==1) || (index[0]==1 && index[1]==0) ) {
      drv[0] = -2.0*s;
      drv[1] = -2.0*r;
      drv[2] = 0.0;
   /* v0=0, V1=3 */
   } else if( (index[0]==0 && index[1]==3) || (index[0]==3 && index[1]==0) ) {
      drv[0] = -2.0+4.0*r+2.0*s+2.0*t;
      drv[1] = 2.0*r;
      drv[2] = 2.0*r;
   /* v0=1, V1=2 */
   } else if( (index[0]==1 && index[1]==2) || (index[0]==2 && index[1]==1) ) {
      drv[0] = 0.0;
      drv[1] = -2.0*t;
      drv[2] = -2.0*s;
   /* v0=1, V1=3 */
   } else if( (index[0]==1 && index[1]==3) || (index[0]==3 && index[1]==1) ) {
      drv[0] = 2.0*s;
      drv[1] = -2.0+2.0*r+4.0*s+2.0*t;
      drv[2] = 2.0*s;
   /* v0=2, V1=0 */
   } else if( (index[0]==2 && index[1]==0) || (index[0]==0 && index[1]==2) ) {
      drv[0] = -2.0*t;
      drv[1] = 0.0;
      drv[2] = -2.0*r;
   /* v0=2, V1=3 */
   } else if( (index[0]==2 && index[1]==3) || (index[0]==3 && index[1]==2) ) {
      drv[0] = 2.0*t;
      drv[1] = 2.0*t;
      drv[2] = -2.0+2.0*r+2.0*s+4.0*t;
    } else
      return 0;

  return 1;
}

int R_faceBlendTetDrv(int *index, double *L, double drv[]) {
  int isum = index[0]+index[1]+index[2];

  drv[0]=drv[1]=drv[2]=0;
  if( isum == 3) /* r*s*t */ {
    drv[0] = L[1]*L[2] ;
    drv[1] = L[0]*L[2] ;
    drv[2] = L[1]*L[0] ;
  } else if( isum == 5) /* r*t*(1-r-s-t) */ {
    drv[0] = L[2]*(1.0-2.0*L[0]-L[1]-L[2]);
    drv[1] = -L[0]*L[2] ;
    drv[2] = L[0]*(1.0-L[0]-L[1]-2.0*L[2]);
  } else if( isum == 4) /* r*s*(1-r-s-t) */ {
    drv[0] = L[1]*(1.0-2.0*L[0]-L[1]-L[2]);
    drv[1] = L[0]*(1.0-L[0]-2.0*L[1]-L[2]);
    drv[2] = -L[0]*L[1] ;
  } else if( isum == 6) /* s*t*(1-r-s-t) */ {
    drv[0] = -L[1]*L[2] ;
    drv[1] = L[2]*(1.0-L[0]-2.0*L[1]-L[2]);
    drv[2] = L[1]*(1.0-L[0]-L[1]-2.0*L[2]);
  } else
    return 0;
  return 1;
}
#ifdef __cplusplus
}
#endif