:orphan:
# PetscDTSimplexQuadrature
Create a quadrature rule for a simplex that exactly integrates polynomials up to a given degree. 
## Synopsis
```
#include "petscdt.h" 
PetscErrorCode PetscDTSimplexQuadrature(PetscInt dim, PetscInt degree, PetscDTSimplexQuadratureType type, PetscQuadrature *quad)
```
Not Collective


## Input Parameters

- ***dim     -*** The spatial dimension of the simplex (1 = segment, 2 = triangle, 3 = tetrahedron)
- ***degree  -*** The largest polynomial degree that is required to be integrated exactly
- ***type    -*** left end of interval (often-1)



## Output Parameter

- ***quad    -*** A `PetscQuadrature` object for integration over the biunit simplex
(defined by the bounds $x_i >= -1$ and $\sum_i x_i <= 2 - d$) that is exact for
polynomials up to the given degree





## See Also
 `PetscDTSimplexQuadratureType`, `PetscDTGaussQuadrature()`, `PetscDTStroudCononicalQuadrature()`, `PetscQuadrature`

## Level
intermediate

## Location
<A HREF="PETSC_DOC_OUT_ROOT_PLACEHOLDER/src/dm/dt/interface/dt.c.html#PetscDTSimplexQuadrature">src/dm/dt/interface/dt.c</A>


---
[Edit on GitLab](https://gitlab.com/petsc/petsc/-/edit/release/src/dm/dt/interface/dt.c)


[Index of all DT routines](index.md)  
[Table of Contents for all manual pages](/manualpages/index.md)  
[Index of all manual pages](/manualpages/singleindex.md)