stdlib_quadrature Module
Uses
Used by
Interfaces
public interface gauss_legendre
Computes Gauss-Legendre quadrature nodes and weights.
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private pure module subroutine gauss_legendre_fp64(x, w, interval)
Arguments
Type Intent Optional Attributes Name real(kind=dp), intent(out) :: x(:) real(kind=dp), intent(out) :: w(:) real(kind=dp), intent(in), optional :: interval(2)
public interface gauss_legendre_lobatto
Computes Gauss-Legendre-Lobatto quadrature nodes and weights.
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private pure module subroutine gauss_legendre_lobatto_fp64(x, w, interval)
Arguments
Type Intent Optional Attributes Name real(kind=dp), intent(out) :: x(:) real(kind=dp), intent(out) :: w(:) real(kind=dp), intent(in), optional :: interval(2)
public interface simps
Integrates sampled values using Simpson's rule (Specification)
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private pure recursive module function simps_dx_dp(y, dx, even) result(integral)
Arguments
Type Intent Optional Attributes Name real(kind=dp), intent(in), dimension(:) :: y real(kind=dp), intent(in) :: dx integer, intent(in), optional :: even Return Value real(kind=dp)
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private pure recursive module function simps_dx_sp(y, dx, even) result(integral)
Arguments
Type Intent Optional Attributes Name real(kind=sp), intent(in), dimension(:) :: y real(kind=sp), intent(in) :: dx integer, intent(in), optional :: even Return Value real(kind=sp)
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private recursive module function simps_x_dp(y, x, even) result(integral)
Arguments
Type Intent Optional Attributes Name real(kind=dp), intent(in), dimension(:) :: y real(kind=dp), intent(in), dimension(:) :: x integer, intent(in), optional :: even Return Value real(kind=dp)
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private recursive module function simps_x_sp(y, x, even) result(integral)
Arguments
Type Intent Optional Attributes Name real(kind=sp), intent(in), dimension(:) :: y real(kind=sp), intent(in), dimension(:) :: x integer, intent(in), optional :: even Return Value real(kind=sp)
public interface simps_weights
Integrates sampled values using trapezoidal rule weights for given abscissas (Specification)
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private pure recursive module function simps_weights_dp(x, even) result(w)
Arguments
Type Intent Optional Attributes Name real(kind=dp), intent(in), dimension(:) :: x integer, intent(in), optional :: even Return Value real(kind=dp), dimension(size(x))
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private pure recursive module function simps_weights_sp(x, even) result(w)
Arguments
Type Intent Optional Attributes Name real(kind=sp), intent(in), dimension(:) :: x integer, intent(in), optional :: even Return Value real(kind=sp), dimension(size(x))
public interface trapz
Integrates sampled values using trapezoidal rule (Specification)
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private pure module function trapz_dx_dp(y, dx) result(integral)
Arguments
Type Intent Optional Attributes Name real(kind=dp), intent(in), dimension(:) :: y real(kind=dp), intent(in) :: dx Return Value real(kind=dp)
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private pure module function trapz_dx_sp(y, dx) result(integral)
Arguments
Type Intent Optional Attributes Name real(kind=sp), intent(in), dimension(:) :: y real(kind=sp), intent(in) :: dx Return Value real(kind=sp)
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private module function trapz_x_dp(y, x) result(integral)
Arguments
Type Intent Optional Attributes Name real(kind=dp), intent(in), dimension(:) :: y real(kind=dp), intent(in), dimension(:) :: x Return Value real(kind=dp)
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private module function trapz_x_sp(y, x) result(integral)
Arguments
Type Intent Optional Attributes Name real(kind=sp), intent(in), dimension(:) :: y real(kind=sp), intent(in), dimension(:) :: x Return Value real(kind=sp)
public interface trapz_weights
Integrates sampled values using trapezoidal rule weights for given abscissas (Specification)
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private pure module function trapz_weights_dp(x) result(w)
Arguments
Type Intent Optional Attributes Name real(kind=dp), intent(in), dimension(:) :: x Return Value real(kind=dp), dimension(size(x))
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private pure module function trapz_weights_sp(x) result(w)
Arguments
Type Intent Optional Attributes Name real(kind=sp), intent(in), dimension(:) :: x Return Value real(kind=sp), dimension(size(x))