Intrepid
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Providing integration rules, created by John Burkardt, Scientific Computing, Florida State University, modified and redistributed by D. Kouri. More...
#include <Intrepid_BurkardtRules.hpp>
Static Public Member Functions | |
template<class Scalar > | |
static void | imtqlx (int n, Scalar d[], Scalar e[], Scalar z[]) |
template<class Scalar > | |
static Scalar | r8_epsilon (Scalar one) |
template<class Scalar > | |
static Scalar | r8_sign (Scalar x) |
template<class Scalar > | |
static void | chebyshev1_compute (int order, Scalar x[], Scalar w[]) |
Gauss-Chebyshev of Type 1; returns points and weights. | |
template<class Scalar > | |
static void | chebyshev1_compute_points (int order, Scalar x[]) |
Gauss-Chebyshev of Type 1; returns points. | |
template<class Scalar > | |
static void | chebyshev1_compute_weights (int order, Scalar w[]) |
Gauss-Chebyshev of Type 1; returns weights. | |
template<class Scalar > | |
static void | chebyshev2_compute (int order, Scalar x[], Scalar w[]) |
Gauss-Chebyshev of Type 2; returns points and weights. | |
template<class Scalar > | |
static void | chebyshev2_compute_points (int order, Scalar x[]) |
Gauss-Chebyshev of Type 2; returns points. | |
template<class Scalar > | |
static void | chebyshev2_compute_weights (int order, Scalar w[]) |
Gauss-Chebyshev of Type 2; returns weights. | |
template<class Scalar > | |
static void | clenshaw_curtis_compute (int order, Scalar x[], Scalar w[]) |
Clenshaw-Curtis; returns points and weights. | |
template<class Scalar > | |
static void | clenshaw_curtis_compute_points (int order, Scalar x[]) |
Clenshaw-Curtis; returns points. | |
template<class Scalar > | |
static void | clenshaw_curtis_compute_weights (int order, Scalar w[]) |
Clenshaw-Curtis; returns weights. | |
template<class Scalar > | |
static void | fejer2_compute (int order, Scalar x[], Scalar w[]) |
Fejer type 2; returns points and weights. | |
template<class Scalar > | |
static void | fejer2_compute_points (int order, Scalar x[]) |
Fejer type 2; returns points. | |
template<class Scalar > | |
static void | fejer2_compute_weights (int order, Scalar w[]) |
Fejer type 2; returns weights. | |
template<class Scalar > | |
static void | hermite_compute (int order, Scalar x[], Scalar w[]) |
Gauss-Hermite; returns points and weights. | |
template<class Scalar > | |
static void | hermite_compute_points (int order, Scalar x[]) |
Gauss-Hermite; returns points. | |
template<class Scalar > | |
static void | hermite_compute_weights (int order, Scalar w[]) |
Gauss-Hermite; returns weights. | |
template<class Scalar > | |
static void | hermite_lookup (int n, Scalar x[], Scalar w[]) |
Gauss-Hermite; returns points and weights. | |
template<class Scalar > | |
static void | hermite_lookup_points (int n, Scalar x[]) |
Gauss-Hermite; returns points. | |
template<class Scalar > | |
static void | hermite_lookup_weights (int n, Scalar w[]) |
Gauss-Hermite; returns weights. | |
template<class Scalar > | |
static void | hermite_genz_keister_lookup (int n, Scalar x[], Scalar w[]) |
Hermite-Genz-Keister; returns points and weights. | |
template<class Scalar > | |
static void | hermite_genz_keister_lookup_points (int n, Scalar x[]) |
Hermite-Genz-Keister; returns points. | |
template<class Scalar > | |
static void | hermite_genz_keister_lookup_weights (int n, Scalar w[]) |
Hermite-Genz-Keister; returns weights. | |
template<class Scalar > | |
static void | laguerre_compute (int n, Scalar x[], Scalar w[]) |
Gauss-Laguerre; returns points and weights. | |
template<class Scalar > | |
static void | laguerre_compute_points (int order, Scalar x[]) |
Gauss-Laguerre; returns points. | |
template<class Scalar > | |
static void | laguerre_compute_weights (int order, Scalar w[]) |
Gauss-Laguerre; returns weights. | |
template<class Scalar > | |
static void | laguerre_lookup (int n, Scalar x[], Scalar w[]) |
Gauss-Laguerre; returns points and weights. | |
template<class Scalar > | |
static void | laguerre_lookup_points (int n, Scalar x[]) |
Gauss-Laguerre; returns points. | |
template<class Scalar > | |
static void | laguerre_lookup_weights (int n, Scalar w[]) |
Gauss-Laguerre; returns weights. | |
template<class Scalar > | |
static void | legendre_compute (int n, Scalar x[], Scalar w[]) |
Gauss-Legendre; returns points and weights. | |
template<class Scalar > | |
static void | legendre_compute_points (int order, Scalar x[]) |
Gauss-Legendre; returns points. | |
template<class Scalar > | |
static void | legendre_compute_weights (int order, Scalar w[]) |
Gauss-Legendre; returns weights. | |
template<class Scalar > | |
static void | legendre_lookup (int n, Scalar x[], Scalar w[]) |
Gauss-Legendre; returns points and weights. | |
template<class Scalar > | |
static void | legendre_lookup_points (int n, Scalar x[]) |
Gauss-Legendre; returns points. | |
template<class Scalar > | |
static void | legendre_lookup_weights (int n, Scalar w[]) |
Gauss-Legendre; returns weights. | |
template<class Scalar > | |
static void | patterson_lookup (int n, Scalar x[], Scalar w[]) |
Gauss-Patterson; returns points and weights. | |
template<class Scalar > | |
static void | patterson_lookup_points (int n, Scalar x[]) |
Gauss-Patterson; returns points. | |
template<class Scalar > | |
static void | patterson_lookup_weights (int n, Scalar w[]) |
Gauss-Patterson; returns weights. | |
template<class Scalar > | |
static void | trapezoidal_compute (int n, Scalar x[], Scalar w[]) |
Trapezoidal rule; returns points and weights. | |
template<class Scalar > | |
static void | trapezoidal_compute_points (int order, Scalar x[]) |
Trapezoidal rule; returns points. | |
template<class Scalar > | |
static void | trapezoidal_compute_weights (int order, Scalar w[]) |
Trapezoidal rule; returns weights. | |
Providing integration rules, created by John Burkardt, Scientific Computing, Florida State University, modified and redistributed by D. Kouri.
See <\A>
Definition at line 115 of file Intrepid_BurkardtRules.hpp.
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Gauss-Chebyshev of Type 1; returns points and weights.
Definition at line 62 of file Intrepid_BurkardtRulesDef.hpp.
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Gauss-Chebyshev of Type 1; returns points.
Definition at line 132 of file Intrepid_BurkardtRulesDef.hpp.
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Gauss-Chebyshev of Type 1; returns weights.
Definition at line 187 of file Intrepid_BurkardtRulesDef.hpp.
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Gauss-Chebyshev of Type 2; returns points and weights.
Definition at line 239 of file Intrepid_BurkardtRulesDef.hpp.
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Gauss-Chebyshev of Type 2; returns points.
Definition at line 311 of file Intrepid_BurkardtRulesDef.hpp.
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Gauss-Chebyshev of Type 2; returns weights.
Definition at line 370 of file Intrepid_BurkardtRulesDef.hpp.
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Clenshaw-Curtis; returns points and weights.
Definition at line 425 of file Intrepid_BurkardtRulesDef.hpp.
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Clenshaw-Curtis; returns points.
Definition at line 516 of file Intrepid_BurkardtRulesDef.hpp.
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Clenshaw-Curtis; returns weights.
Definition at line 574 of file Intrepid_BurkardtRulesDef.hpp.
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Fejer type 2; returns points and weights.
Definition at line 653 of file Intrepid_BurkardtRulesDef.hpp.
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Fejer type 2; returns points.
Definition at line 734 of file Intrepid_BurkardtRulesDef.hpp.
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Fejer type 2; returns weights.
Definition at line 791 of file Intrepid_BurkardtRulesDef.hpp.
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Gauss-Hermite; returns points and weights.
Definition at line 877 of file Intrepid_BurkardtRulesDef.hpp.
Referenced by hermite_compute_points(), and hermite_compute_weights().
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Gauss-Hermite; returns points.
Definition at line 972 of file Intrepid_BurkardtRulesDef.hpp.
References hermite_compute().
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Gauss-Hermite; returns weights.
Definition at line 1007 of file Intrepid_BurkardtRulesDef.hpp.
References hermite_compute().
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Hermite-Genz-Keister; returns points and weights.
Definition at line 1042 of file Intrepid_BurkardtRulesDef.hpp.
References hermite_genz_keister_lookup_points(), and hermite_genz_keister_lookup_weights().
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Hermite-Genz-Keister; returns points.
Definition at line 1114 of file Intrepid_BurkardtRulesDef.hpp.
Referenced by hermite_genz_keister_lookup().
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Hermite-Genz-Keister; returns weights.
Definition at line 1405 of file Intrepid_BurkardtRulesDef.hpp.
Referenced by hermite_genz_keister_lookup().
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Gauss-Hermite; returns points and weights.
Definition at line 1696 of file Intrepid_BurkardtRulesDef.hpp.
References hermite_lookup_points(), and hermite_lookup_weights().
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Gauss-Hermite; returns points.
Definition at line 1766 of file Intrepid_BurkardtRulesDef.hpp.
Referenced by hermite_lookup().
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Gauss-Hermite; returns weights.
Definition at line 2104 of file Intrepid_BurkardtRulesDef.hpp.
Referenced by hermite_lookup().
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Definition at line 2442 of file Intrepid_BurkardtRulesDef.hpp.
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Gauss-Laguerre; returns points and weights.
Definition at line 2605 of file Intrepid_BurkardtRulesDef.hpp.
Referenced by laguerre_compute_points(), and laguerre_compute_weights().
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Gauss-Laguerre; returns points.
Definition at line 2683 of file Intrepid_BurkardtRulesDef.hpp.
References laguerre_compute().
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Gauss-Laguerre; returns weights.
Definition at line 2718 of file Intrepid_BurkardtRulesDef.hpp.
References laguerre_compute().
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Gauss-Laguerre; returns points and weights.
Definition at line 2753 of file Intrepid_BurkardtRulesDef.hpp.
References laguerre_lookup_points(), and laguerre_lookup_weights().
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Gauss-Laguerre; returns points.
Definition at line 2847 of file Intrepid_BurkardtRulesDef.hpp.
Referenced by laguerre_lookup().
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Gauss-Laguerre; returns weights.
Definition at line 3169 of file Intrepid_BurkardtRulesDef.hpp.
Referenced by laguerre_lookup().
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Gauss-Legendre; returns points and weights.
Definition at line 3491 of file Intrepid_BurkardtRulesDef.hpp.
Referenced by legendre_compute_points(), and legendre_compute_weights().
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Gauss-Legendre; returns points.
Definition at line 3576 of file Intrepid_BurkardtRulesDef.hpp.
References legendre_compute().
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Gauss-Legendre; returns weights.
Definition at line 3611 of file Intrepid_BurkardtRulesDef.hpp.
References legendre_compute().
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Gauss-Legendre; returns points and weights.
Definition at line 3646 of file Intrepid_BurkardtRulesDef.hpp.
References legendre_lookup_points(), and legendre_lookup_weights().
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Gauss-Legendre; returns points.
Definition at line 3716 of file Intrepid_BurkardtRulesDef.hpp.
Referenced by legendre_lookup().
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Gauss-Legendre; returns weights.
Definition at line 4415 of file Intrepid_BurkardtRulesDef.hpp.
Referenced by legendre_lookup().
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Gauss-Patterson; returns points and weights.
Definition at line 5114 of file Intrepid_BurkardtRulesDef.hpp.
References patterson_lookup_points(), and patterson_lookup_weights().
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Gauss-Patterson; returns points.
Definition at line 5170 of file Intrepid_BurkardtRulesDef.hpp.
Referenced by patterson_lookup().
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Gauss-Patterson; returns weights.
Definition at line 5745 of file Intrepid_BurkardtRulesDef.hpp.
Referenced by patterson_lookup().
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Definition at line 6385 of file Intrepid_BurkardtRulesDef.hpp.
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Definition at line 6430 of file Intrepid_BurkardtRulesDef.hpp.
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Trapezoidal rule; returns points and weights.
Definition at line 6322 of file Intrepid_BurkardtRulesDef.hpp.
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Trapezoidal rule; returns points.
Definition at line 6346 of file Intrepid_BurkardtRulesDef.hpp.
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Trapezoidal rule; returns weights.
Definition at line 6363 of file Intrepid_BurkardtRulesDef.hpp.