[−][src]Crate rgsl
A Rust binding for the GSL library (the GNU Scientific Library).
Installation
This binding requires the GSL library library (>= 2) to be installed.
Documentation
You can access the latest version of the documentation via the internet here.
Examples
Examples are available in the examples folder. Don't hesitate to take a look!
License
rust-GSL is a wrapper for GSL, therefore inherits the GPL license.
Re-exports
pub use types::*; |
pub use elementary::Elementary; |
pub use pow::Pow; |
pub use trigonometric::Trigonometric; |
pub use types::rng; |
Modules
| airy | |
| bessel | |
| blas | |
| cblas | |
| clausen | The Clausen function is defined by the following integral, |
| coulomb | |
| coupling_coefficients | The Wigner 3-j, 6-j and 9-j symbols give the coupling coefficients for combined angular momentum vectors. Since the arguments of the standard coupling coefficient functions are integer or half-integer, the arguments of the following functions are, by convention, integers equal to twice the actual spin value. |
| dawson | The Dawson integral is defined by \exp(-x^2) \int_0^x dt \exp(t^2). A table of Dawson’s integral can be found in Abramowitz & Stegun, Table 7.5. |
| debye | The Debye functions D_n(x) are defined by the following integral, |
| dilogarithm | |
| eigen | ##References and Further Reading |
| elementary | |
| elementary_operations | |
| elliptic | Further information about the elliptic integrals can be found in Abramowitz & Stegun, Chapter 17. |
| error | The error function is described in Abramowitz & Stegun, Chapter 7. |
| exponential | |
| exponential_integrals | |
| fermi_dirac | |
| fft | #Fast Fourier Transforms (FFTs) |
| filter | v2_5 |
| fit | Linear Regression |
| gamma_beta | This following routines compute the gamma and beta functions in their full and incomplete forms, as well as various kinds of factorials. |
| gegenbauer | The Gegenbauer polynomials are defined in Abramowitz & Stegun, Chapter 22, where they are known as Ultraspherical polynomials. |
| hypergeometric | Hypergeometric functions are described in Abramowitz & Stegun, Chapters 13 and 15. |
| integration | ##Introduction |
| interpolation | |
| jacobian_elliptic | The Jacobian Elliptic functions are defined in Abramowitz & Stegun, Chapter 16. |
| laguerre | The generalized Laguerre polynomials are defined in terms of confluent hypergeometric functions as L^a_n(x) = ((a+1)n / n!) 1F1(-n,a+1,x), and are sometimes referred to as the associated Laguerre polynomials. They are related to the plain Laguerre polynomials L_n(x) by L^0_n(x) = L_n(x) and L^k_n(x) = (-1)^k (d^k/dx^k) L(n+k)(x). For more information see Abramowitz & Stegun, Chapter 22. |
| lambert_w | Lambert’s W functions, W(x), are defined to be solutions of the equation W(x) \exp(W(x)) = x. This function has multiple branches for x < 0; however, it has only two real-valued branches. We define W_0(x) to be the principal branch, where W > -1 for x < 0, and W_{-1}(x) to be the other real branch, where W < -1 for x < 0. |
| legendre | The Legendre Functions and Legendre Polynomials are described in Abramowitz & Stegun, Chapter 8. |
| linear_algebra | #Linear Algebra |
| logarithm | Information on the properties of the Logarithm function can be found in Abramowitz & Stegun, Chapter 4. |
| minimizer | |
| multifit | |
| multilarge | v2_1 |
| multilinear | |
| numerical_differentiation | #Numerical Differentiation |
| physical_constant | Physical Constants |
| polynomials | #Polynomials |
| pow | |
| power | The following functions are equivalent to the function gsl_pow_int (see Small integer powers) with an error estimate. |
| psi | The polygamma functions of order n are defined by |
| randist | #Random Number Distributions |
| roots | |
| sort | #Sorting |
| statistics | #Statistics |
| stats | |
| synchrotron | |
| transport | The transport functions J(n,x) are defined by the integral representations J(n,x) := \int_0^x dt t^n e^t /(e^t - 1)^2. |
| trigonometric | |
| types | |
| util | |
| wavelet_transforms | ##Transform Functions |
| zeta | The Riemann zeta function is defined in Abramowitz & Stegun, Section 23.2. |
Structs
| IOStream | A wrapper to handle I/O operations between GSL and rust |
Enums
| CblasDiag | |
| CblasOrder | |
| CblasSide | |
| CblasTranspose | |
| CblasUplo | |
| EigenSort | |
| FftDirection | This gives the sign in the formula: |
| FilterEnd | v2_5 |
| FilterScale | v2_5 |
| GaussKonrodRule | The low-level integration rules in QUADPACK are identified by small integers (1-6). We'll use symbolic constants to refer to them. |
| IntegrationQawo | Used by workspace for QAWO integrator |
| Mode | |
| ODEiv | Possible return values for an hadjust() evolution method for ordinary differential equations |
| SfLegendreNorm | |
| Value | |
| VegasMode | Used by VegasMonteCarlo struct |
| WaveletDirection |
Statics
| DBL_EPSILON | |
| DBL_MAX | |
| DBL_MIN | |
| LOG_DBL_MAX | |
| ROOT3_DBL_EPSILON | |
| ROOT3_DBL_MAX | |
| ROOT3_DBL_MIN | |
| ROOT4_DBL_EPSILON | |
| ROOT4_DBL_MAX | |
| ROOT4_DBL_MIN | |
| ROOT5_DBL_EPSILON | |
| ROOT5_DBL_MAX | |
| ROOT5_DBL_MIN | |
| ROOT6_DBL_EPSILON | |
| ROOT6_DBL_MAX | |
| ROOT6_DBL_MIN | |
| SF_DOUBLEFACT_NMAX | The maximum n such that gsl_sf_doublefact(n) does not give an overflow. |
| SF_FACT_NMAX | The maximum n such that gsl_sf_fact(n) does not give an overflow. |
| SF_GAMMA_XMAX | The maximum x such that gamma(x) is not considered an overflow. |
| SF_MATHIEU_COEFF | |
| SQRT_DBL_EPSILON | |
| SQRT_DBL_MAX | |
| SQRT_DBL_MIN |