,
Martin Maechler [aut] (Author of the Bessel R package,
<https://orcid.org/0000-0002-8685-9910>),
Donald E. Amos [aut] (Original author of the zbsubs Fortran code,
Sandia National Laboratories)| Title: | Bessel Functions Rcpp Interface |
|---|---|
| Description: | Exports an 'Rcpp' interface for the Bessel functions in the 'Bessel' package, which can then be called from the 'C++' code of other packages. For the original 'Fortran' implementation of these functions see Amos (1995) <doi:10.1145/212066.212078>. |
| Authors: | Alexios Galanos [aut, cre] ,
Martin Maechler [aut] (Author of the Bessel R package,
<https://orcid.org/0000-0002-8685-9910>),
Donald E. Amos [aut] (Original author of the zbsubs Fortran code,
Sandia National Laboratories) |
| Maintainer: | Alexios Galanos <[email protected]> |
| License: | GPL (>= 2) |
| Version: | 1.0.0 |
| Built: | 2024-10-27 05:04:59 UTC |
| Source: | https://github.com/alexiosg/rcppbessel |
Computes the Airy function Ai for real or complex inputs.
airy_a(z, deriv = 0, expon_scaled = FALSE, verbose = 0)airy_a(z, deriv = 0, expon_scaled = FALSE, verbose = 0)
z |
A numeric or complex vector representing the input values at which to evaluate the Airy function. |
deriv |
An integer indicating whether to compute the function ( |
expon_scaled |
A logical value indicating whether to use the exponentially scaled form of the Airy function. Defaults to |
verbose |
An integer specifying the verbosity level for error messages. Defaults to |
A numeric or complex vector (depending on the input) containing the values of the airy_a function evaluated at the points in z.
Maechler M (2024).
Bessel: Computations and Approximations for Bessel Functions.
R package version 0.6-1, https://CRAN.R-project.org/package=Bessel.
Amos DE (1995).
“A remark on Algorithm 644: "A portable package for Bessel functions of a complex argument and nonnegative order".”
ACM Transactions on Mathematical Software (TOMS), 21(4), 388–393.
Computes the Airy function Bi for real or complex inputs.
airy_b(z, deriv = 0, expon_scaled = FALSE, verbose = 0)airy_b(z, deriv = 0, expon_scaled = FALSE, verbose = 0)
z |
A numeric or complex vector representing the input values at which to evaluate the Airy function. |
deriv |
An integer indicating whether to compute the function ( |
expon_scaled |
A logical value indicating whether to use the exponentially scaled form of the Airy function. Defaults to |
verbose |
An integer specifying the verbosity level for error messages. Defaults to |
A numeric or complex vector (depending on the input) containing the values of the airy_b function evaluated at the points in z.
Maechler M (2024).
Bessel: Computations and Approximations for Bessel Functions.
R package version 0.6-1, https://CRAN.R-project.org/package=Bessel.
Amos DE (1995).
“A remark on Algorithm 644: "A portable package for Bessel functions of a complex argument and nonnegative order".”
ACM Transactions on Mathematical Software (TOMS), 21(4), 388–393.
Computes the Hankel function (Bessel function of the third kind) for real or complex inputs.
bessel_h(m, z, nu, expon_scaled = FALSE, verbose = 0)bessel_h(m, z, nu, expon_scaled = FALSE, verbose = 0)
m |
An integer representing the type of Hankel function. It must be either |
z |
A numeric or complex vector representing the input values at which to evaluate the Hankel function. |
nu |
A double representing the order of the Hankel function. |
expon_scaled |
A logical value indicating whether to use the exponentially scaled form of the Hankel function. Defaults to |
verbose |
An integer specifying the verbosity level for error messages. Defaults to |
A complex vector containing the values of the bessel_h function evaluated at the points in z.
Maechler M (2024).
Bessel: Computations and Approximations for Bessel Functions.
R package version 0.6-1, https://CRAN.R-project.org/package=Bessel.
Amos DE (1995).
“A remark on Algorithm 644: "A portable package for Bessel functions of a complex argument and nonnegative order".”
ACM Transactions on Mathematical Software (TOMS), 21(4), 388–393.
Computes the modified Bessel function of the first kind for real or complex inputs.
bessel_i(z, nu, expon_scaled = FALSE, verbose = 0)bessel_i(z, nu, expon_scaled = FALSE, verbose = 0)
z |
A numeric or complex vector representing the input values at which to evaluate the Bessel function. |
nu |
A double representing the order of the Bessel function. |
expon_scaled |
A logical value indicating whether to use the exponentially scaled form of the Bessel function. Defaults to |
verbose |
An integer specifying the verbosity level for error messages. Defaults to |
A numeric or complex vector (depending on the input) containing the values of the bessel_i function evaluated at the points in z.
Maechler M (2024).
Bessel: Computations and Approximations for Bessel Functions.
R package version 0.6-1, https://CRAN.R-project.org/package=Bessel.
Amos DE (1995).
“A remark on Algorithm 644: "A portable package for Bessel functions of a complex argument and nonnegative order".”
ACM Transactions on Mathematical Software (TOMS), 21(4), 388–393.
Computes the Bessel function of the first kind for real or complex inputs.
bessel_j(z, nu, expon_scaled = FALSE, verbose = 0)bessel_j(z, nu, expon_scaled = FALSE, verbose = 0)
z |
A numeric or complex vector representing the input values at which to evaluate the Bessel function. |
nu |
A double representing the order of the Bessel function. |
expon_scaled |
A logical value indicating whether to use the exponentially scaled form of the Bessel function. Defaults to |
verbose |
An integer specifying the verbosity level for error messages. Defaults to |
A numeric or complex vector (depending on the input) containing the values of the bessel_j function evaluated at the points in z.
Maechler M (2024).
Bessel: Computations and Approximations for Bessel Functions.
R package version 0.6-1, https://CRAN.R-project.org/package=Bessel.
Amos DE (1995).
“A remark on Algorithm 644: "A portable package for Bessel functions of a complex argument and nonnegative order".”
ACM Transactions on Mathematical Software (TOMS), 21(4), 388–393.
Computes the modified Bessel function of the second kind for real or complex inputs.
bessel_k(z, nu, expon_scaled = FALSE, verbose = 0)bessel_k(z, nu, expon_scaled = FALSE, verbose = 0)
z |
A numeric or complex vector representing the input values at which to evaluate the Bessel function. |
nu |
A double representing the order of the Bessel function. |
expon_scaled |
A logical value indicating whether to use the exponentially scaled form of the Bessel function. Defaults to |
verbose |
An integer specifying the verbosity level for error messages. Defaults to |
A numeric or complex vector (depending on the input) containing the values of the bessel_k function evaluated at the points in z.
Maechler M (2024).
Bessel: Computations and Approximations for Bessel Functions.
R package version 0.6-1, https://CRAN.R-project.org/package=Bessel.
Amos DE (1995).
“A remark on Algorithm 644: "A portable package for Bessel functions of a complex argument and nonnegative order".”
ACM Transactions on Mathematical Software (TOMS), 21(4), 388–393.
Computes the Bessel function of the second kind (Neumann function) for real or complex inputs.
bessel_y(z, nu, expon_scaled = FALSE, verbose = 0)bessel_y(z, nu, expon_scaled = FALSE, verbose = 0)
z |
A numeric or complex vector representing the input values at which to evaluate the Bessel function. |
nu |
A double representing the order of the Bessel function. |
expon_scaled |
A logical value indicating whether to use the exponentially scaled form of the Bessel function. Defaults to |
verbose |
An integer specifying the verbosity level for error messages. Defaults to |
A numeric or complex vector (depending on the input) containing the values of the bessel_y function evaluated at the points in z.
Maechler M (2024).
Bessel: Computations and Approximations for Bessel Functions.
R package version 0.6-1, https://CRAN.R-project.org/package=Bessel.
Amos DE (1995).
“A remark on Algorithm 644: "A portable package for Bessel functions of a complex argument and nonnegative order".”
ACM Transactions on Mathematical Software (TOMS), 21(4), 388–393.