Class xlifepp::QuadratureRule#

class QuadratureRule#

Collaboration diagram for xlifepp::QuadratureRule:

represents a quadrature formula points and weights

Public Functions

inline QuadratureRule()#: default constructor

QuadratureRule(const std::vector<real_t>&, const std::vector<real_t>&)#: constructor by coords and weights

QuadratureRule(const std::vector<real_t>&, real_t)#: constructor for 1 point formula

QuadratureRule(dimen_t, number_t)#: constructor by dimension and number of points

QuadratureRule &booleRule()#: Boole quadratire rule.

QuadratureRule &conicalRule(const QuadratureRule&, const QuadratureRule&)#: conical product of 2 1D rules (see A.H.Stroud, page 18—31 & 314)

QuadratureRule &conicalRule(const QuadratureRule&, const QuadratureRule&, const QuadratureRule&)#: conical product of 3 1D rules (see A.H.Stroud, pages 18-31 & 314)

inline const std::vector<real_t> &coords() const#: returns vector of point coordinates

void coords(const std::vector<real_t>&)#: copy std::vector<real_t> into quadrature point coordinates

void coords(real_t)#: barycentric quadrature point coordinates

void coords(std::vector<real_t>::const_iterator)#: copy std::vector<real_t> into quadrature point coordinates

void coords(std::vector<real_t>::iterator&, dimen_t, std::vector<real_t>::const_iterator&)#: input quadrature point coordinates in any dimension

inline dimen_t dim() const#: returns dimension of quadrature points

QuadratureRule &gaussJacobiRules(number_t)#: Gauss-Legendre quadrature rule.

QuadratureRule &gaussLegendreRules(number_t)#: Gauss-Legendre quadrature rule.

QuadratureRule &gaussLobattoRules(number_t)#: Gauss-Lobatto quadrature rule.

QuadratureRule &hexahedronNodalRule(const QuadratureRule&)#: nodal rule on hexahedra

inline std::vector<real_t>::iterator point(number_t i = 0)#: get i-th quadrature point as a vector (0 <= i)

inline std::vector<real_t>::const_iterator point(number_t i = 0) const#: get i-th quadrature point as a vector (0 <= i)

void point(std::vector<real_t>::iterator&, real_t, real_t, real_t, std::vector<real_t>::iterator&, real_t)#: input accumulator for 3d quadrature point

void point(std::vector<real_t>::iterator&, real_t, real_t, std::vector<real_t>::iterator&, real_t)#: input accumulator for 2d quadrature point

void point(std::vector<real_t>::iterator&, real_t, std::vector<real_t>::iterator&, real_t)#: input accumulator for 1d quadrature point

QuadratureRule &pyramidRule(const QuadratureRule &qrxy, const QuadratureRule &qrz)#: conical product of 3 1D rule

QuadratureRule &pyramidStroudRule()#: Degree 7, 48 points, A.H.Stroud, page 339.

QuadratureRule &quadrangleNodalRule(const QuadratureRule&)#: nodal rule on quadrangles

void resize(dimen_t, number_t)#: resizes vectors of coordinates and weights

QuadratureRule &ruleOn01(number_t n, bool symmmetric = true)#: quadrature rule on [0,1]

QuadratureRule &simpson38Rule()#: Simpson 3-8 quadrature rule.

QuadratureRule &simpsonRule()#: Simpson quadrature rule.

inline number_t size() const#: number of points of quadrature rule

QuadratureRule &symmetricalGaussHexahedronRule(number_t)#: symmetrical Gauss rule on hexahedron, odd order up to 11

QuadratureRule &symmetricalGaussPrismRule(number_t)#: symmetrical Gauss rule on prism, order up to 10

QuadratureRule &symmetricalGaussPyramidRule(number_t)#: symmetrical Gauss rule on pyramid, order up to 10

QuadratureRule &symmetricalGaussQuadrangleRule(number_t)#: symmetrical Gauss rule on quadrangle, odd order up to 21

QuadratureRule &symmetricalGaussTetrahedronRule(number_t)#: symmetrical Gauss rule on tetrahedron, order up to 10

QuadratureRule &symmetricalGaussTriangleRule(number_t)#: symmetrical Gauss rule on triangle, order up to 20

QuadratureRule &t2P2HammerStroudRule()#: Degree 2, 3 points, A.H.Stroud, page 307.

QuadratureRule &t2P2MidEdgeRule()#: Degree 2, 3 points.

QuadratureRule &t2P3AlbrechtCollatzRule()#: Degree 3, 6 points, A.H.Stroud, page 314.

QuadratureRule &t2P3StroudRule()#: Degree 3, 7 points, A.H.Stroud, page 308.

QuadratureRule &t2P5RadonHammerMarloweStroudRule()#: Degree 5, 7 points, A.H.Stroud, page 314.

QuadratureRule &t2P6HammerRule()#: Degree 6, Hammer 12 internal points, G.Dhatt, G.Touzot page 298.

QuadratureRule &t3P2HammerStroudRule()#: Degree 2, 4 points, A.H.Stroud, page 307.

QuadratureRule &t3P3StroudRule()#: Degree 3, 8 points, A.H.Stroud, page 308.

QuadratureRule &t3P5StroudRule()#: Degree 5, 15 points, A.H.Stroud, page 315.

QuadratureRule &tensorRule(const QuadratureRule&, const QuadratureRule&)#: tensor product of 2 1D rules of degree d.

QuadratureRule &tensorRule(const QuadratureRule&, const QuadratureRule&, const QuadratureRule&)#: tensor product of 3 1D rules of degree d.

QuadratureRule &tNGrundmannMollerRule(int, dimen_t)#: degree 2s+1, C^n_n+d+1 points rule over the unit simplex

void tNGrundmannMollerSet(int)#: modified version of John Burkhart’s GM_RULE_SET function

QuadratureRule &trapezoidalRule()#: trapezoidal quadrature rule

inline std::vector<real_t>::iterator weight(const number_t i = 0)#: get iterator to i-th quadrature weight

inline std::vector<real_t>::const_iterator weight(number_t i = 0) const#: get const_iterator to i-th quadrature weight

inline const std::vector<real_t> &weights() const#: returns vector of point coordinates

void weights(const std::vector<real_t>&)#: copy std::vector<real_t> into quadrature weights

void weights(real_t)#: uniform quadrature weights

Friends

friend std::ostream &operator<<(std::ostream&, const QuadratureRule&)#: print operator