template<typename NumericReturnType, typename T>
class drake::multibody::TriangleQuadrature< NumericReturnType, T >
A class for integrating a function using numerical quadrature over triangular domains.
- Template Parameters
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| NumericReturnType | the output type of the function being integrated. Commonly will be a IEEE floating point scalar (e.g., double), but could be an Eigen::VectorXd, a multibody::SpatialForce, or any other numeric type that supports both scalar multiplication (i.e., operator*(const NumericReturnType&, double) and addition with another of the same type (i.e., operator+(const NumericReturnType&, const NumericReturnType&)). |
| T | the scalar type of the function being integrated over. Supported types are currently only IEEE floating point scalars. |
#include <drake/multibody/triangle_quadrature/triangle_quadrature.h>
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| static NumericReturnType | Integrate (const std::function< NumericReturnType(const Vector2< T > &)> &f, const TriangleQuadratureRule &rule, const T &area) |
| | Numerically integrates the function f over a triangle using the given quadrature rule and the initial value. More...
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| static NumericReturnType | Integrate (const std::function< NumericReturnType(const Vector3< T > &)> &f, const TriangleQuadratureRule &rule, const T &area) |
| | Alternative signature for Integrate() that uses three-dimensional barycentric coordinates. More...
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◆ Integrate() [1/2]
| NumericReturnType Integrate |
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const std::function< NumericReturnType(const Vector2< T > &)> & |
f, |
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const TriangleQuadratureRule & |
rule, |
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const T & |
area |
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Numerically integrates the function f over a triangle using the given quadrature rule and the initial value.
- Parameters
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| f(p) | a function that returns a numerical value for point p in the domain of the triangle, specified in barycentric coordinates. The barycentric coordinates are given by (p[0], p[1], 1 - p[0] - p[1]). |
| area | the area of the triangle. |
◆ Integrate() [2/2]
| NumericReturnType Integrate |
( |
const std::function< NumericReturnType(const Vector3< T > &)> & |
f, |
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const TriangleQuadratureRule & |
rule, |
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const T & |
area |
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) |
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static |
Alternative signature for Integrate() that uses three-dimensional barycentric coordinates.
- Parameters
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| f(p) | a function that returns a numerical value for point p in the domain of the triangle, specified in barycentric coordinates. The barycentric coordinates are given by (p[0], p[1], p[2]). |
| area | the area of the triangle. |
The documentation for this class was generated from the following file:
