triangle_dunavant_rule.hpp

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//  Licensing:
//
//    This code is distributed under the GNU LGPL license.
//
//  Modified:
//
//    11 December 2006
//
//  Author:
//
//    John Burkardt
//
//  Reference:
//
//    David Dunavant,
//    High Degree Efficient Symmetrical Gaussian Quadrature Rules
//    for the Triangle, 
//    International Journal for Numerical Methods in Engineering,
//    Volume 21, 1985, pages 1129-1148.
//
//    James Lyness, Dennis Jespersen,
//    Moderate Degree Symmetric Quadrature Rules for the Triangle,
//    Journal of the Institute of Mathematics and its Applications,
//    Volume 15, Number 1, February 1975, pages 19-32.
 
// \addtogroup Quadratures
 
 
int dunavant_degree ( int rule );
int dunavant_order_num ( int rule );
void dunavant_rule ( int rule, int order_num, double xy[], double w[] );
int dunavant_rule_num ( );
int *dunavant_suborder ( int rule, int suborder_num );
int dunavant_suborder_num ( int rule );
void dunavant_subrule ( int rule, int suborder_num, double suborder_xyz[], 
  double suborder_w[] );
void dunavant_subrule_01 ( int suborder_num, double suborder_xyz[], 
  double suborder_w[] );
void dunavant_subrule_02 ( int suborder_num, double suborder_xyz[], 
  double suborder_w[] );
void dunavant_subrule_03 ( int suborder_num, double suborder_xyz[], 
  double suborder_w[] );
void dunavant_subrule_04 ( int suborder_num, double suborder_xyz[], 
  double suborder_w[] );
void dunavant_subrule_05 ( int suborder_num, double suborder_xyz[], 
  double suborder_w[] );
void dunavant_subrule_06 ( int suborder_num, double suborder_xyz[], 
  double suborder_w[] );
void dunavant_subrule_07 ( int suborder_num, double suborder_xyz[], 
  double suborder_w[] );
void dunavant_subrule_08 ( int suborder_num, double suborder_xyz[], 
  double suborder_w[] );
void dunavant_subrule_09 ( int suborder_num, double suborder_xyz[], 
  double suborder_w[] );
void dunavant_subrule_10 ( int suborder_num, double suborder_xyz[], 
  double suborder_w[] );
void dunavant_subrule_11 ( int suborder_num, double suborder_xyz[], 
  double suborder_w[] );
void dunavant_subrule_12 ( int suborder_num, double suborder_xyz[], 
  double suborder_w[] );
void dunavant_subrule_13 ( int suborder_num, double suborder_xyz[], 
  double suborder_w[] );
void dunavant_subrule_14 ( int suborder_num, double suborder_xyz[], 
  double suborder_w[] );
void dunavant_subrule_15 ( int suborder_num, double suborder_xyz[], 
  double suborder_w[] );
void dunavant_subrule_16 ( int suborder_num, double suborder_xyz[], 
  double suborder_w[] );
void dunavant_subrule_17 ( int suborder_num, double suborder_xyz[], 
  double suborder_w[] );
void dunavant_subrule_18 ( int suborder_num, double suborder_xyz[], 
  double suborder_w[] );
void dunavant_subrule_19 ( int suborder_num, double suborder_xyz[], 
  double suborder_w[] );
void dunavant_subrule_20 ( int suborder_num, double suborder_xyz[], 
  double suborder_w[] );
int i4_max ( int i1, int i2 );
int i4_min ( int i1, int i2 );
int i4_modp ( int i, int j );
int i4_wrap ( int ival, int ilo, int ihi );
double r8_huge ( );
int r8_nint ( double x );
void reference_to_physical_t3 ( double t[], int n, double ref[], double phy[] );
int s_len_trim ( char *s );
void timestamp ( );
double triangle_area ( double t[2*3] );