The DYLAN-GSL library

GSL modules:

• GSL-COMMON
  • <double-float?>
  • <numeric-sequence>
  • <vector-double-float>
  • <vector-double-float?>
  • vector-double-float
  • with-c-double-array
  • with-gsl-check-success
• GSL-ERROR
  • Base error class
  • Error types
• GSL-MATH
  • Double-float comparison functions
  • Infinity and NaN functions
  • Elementary functions
• GSL-COMPLEX
  • Complex numbers
  • Properties of complex numbers
  • Complex arithmetic operators
  • Elementary Complex
  • Complex trigonometric
  • Inverse trigonometric
  • Complex hyperbolic
  • Inverse complex hyperbolic
• GSL-VECTOR
  • The <gsl-vector> type
  • Allocation functions
  • Copying vectors
  • Accessing elements
  • Initializing vector elements
  • Exchanging elements
  • Vector operations
  • Finding maximum and minimum elements of vectors
  • Vector properties
• GSL-STATISTICS
  • Mean, Standard Deviation and Variance
  • Absolute deviation
  • Covariance
  • Higher moments (skewness and kurtosis)
  • Autocorrelation
  • Maximum and Minimum
  • Correlation
  • Weighted samples
  • Median and Percentiles
  • Order Statistics
  • Robust Location Estimates
  • Robust Scale Estimates
  • \(S_n\) Statistic
  • \(Q_n\) Statistic
• GSL-RUNNING-STATISTICS
  • Statistical summary
  • Quantiles
• GSL-RNG
  • Random number environment variables
  • Random generator base class
  • Sampling
  • Auxiliary functions
  • Random number generator algorithms
  • Unix random number generators
  • Other random number generators
• GSL-RANDIST
  • The <gsl-randist> interface
  • The Continuous Distribution
  • The Gaussian Distribution
  • The Unit Gaussian distribution
  • The Gaussian tail distribution
  • The Ugaussian tail distribution
  • The Exponential Distribution
  • The Laplace Distribution
  • The Exponential Power Distribution
  • The Cauchy Distribution
  • The Rayleigh Distribution
  • The Rayleigh Tail distribution
  • The Landau distribution
  • The Levy alpha-Stable Distribution
  • The Levy skew alpha-Stable Distribution
  • The Gamma Distribution
  • The Flat Distribution
  • The Lognormal Distribution
  • The Chi-Squared Distribution
  • The F-Distribution
  • The Student’s T Distribution
  • The Beta Distribution
  • The Logistic Distribution
  • The Pareto Distribution
  • The Special Vector Distributions
  • The Weibull Distribution
  • The Type-1 Gumbel Distribution
  • The Type-2 Gumbel Distribution
  • The Dirichlet Distribution
  • The Binomial Distribution
  • The Negative Binomial Distribution

FFI modules:

• GSL-FFI-ERROR
  • Error functions
• GSL-FFI-MATH
  • Mathematical constants
  • Floating point comparison
  • Elementary functions
• GSL-FFI-COMPLEX
  • Complex numbers
  • Properties of complex numbers
  • Complex arithmetic operators
  • Elementary Complex
  • Complex trigonometric
  • Inverse trigonometric
  • Complex hyperbolic
  • Inverse complex hyperbolic
• GSL-FFI-BLOCK
  • The <gsl-block> type
  • Allocation functions
• GSL-FFI-VECTOR
  • The <gsl-vector*> type
  • Allocation functions
  • Initializing vector elements
  • Exchanging elements
  • Vector operations
  • Finding maximum and minimum elements
  • Vector properties
• GSL-FFI-STATISTICS
  • Absolute deviation
  • Covariance
  • Kurtosis
  • Autocorrelation
  • Max/Min
  • Mean
  • Standard deviation
  • Skewness
  • Total sum of squares
  • Variance
  • Correlation
  • Weighted samples
  • Median and Percentiles
  • Order Statistics
  • Robust Location Estimates
  • Robust Scale Estimates
  • \(S_n\) Statistic
  • \(Q_n\) Statistic
• GSL-FFI-RUNNING-STATISTICS
  • Running statistics
  • Quantiles
• GSL-FFI-RNG
  • The Random Number Generator interface
  • Random number generator initialization
  • Auxiliary functions
  • Sampling from a random number generator
• GSL-FFI-RANDIST
  • Gaussian Distribution
  • Unit Gaussian Distribution
  • Tail distributions
  • Exponential
  • Laplace
  • Exponentiated power
  • Cauchy
  • Rayleigh
  • Rayleigh tail
  • The Landau distribution
  • The Levy alpha-Stable distribution
  • The Levy alpha-Stable distribution
  • Gamma Distribution
  • The Flat Distribution
  • The Lognormal Distribution
  • The Chi-Square Distribution
  • Discrete distributions
  • The Poisson Distribution
  • The Bernoulli Distribution
  • The Binomial Distribution
  • The Multinomial Distribution