package phylogenetics

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phylogenetics
- Phylogenetics
  - Alignment
    
    Make
    
    S
  - Alphabet
    
    Make
    
    Matrix
    
    Table
    
    Vector
    
    X
    
    S
    
    Matrix
    
    Table
    
    Vector
    
    S_int
    
    Matrix
    
    Table
    
    Vector
  - Amino_acid
    
    Matrix
    
    Table
    
    Vector
  - Birth_death
  - Bpp_model
  - Codon
    
    Genetic_code
    
    NS
    
    Matrix
    
    Table
    
    Vector
    
    Matrix
    
    S
    
    Matrix
    
    Table
    
    Vector
    
    Table
    
    Universal_genetic_code
    
    NS
    
    Matrix
    
    Table
    
    Vector
    
    Vector
  - Discrete_pd
  - Dna
  - Felsenstein
    
    Alignment
    
    Make
    
    A
    
    Matrix
    
    Table
    
    Vector
    
    Align
    
    E
  - Fitch
  - ID_monad
  - Iupac_nucleotide
    
    Matrix
    
    Table
    
    Vector
  - Linear_algebra
    
    Matrix
    
    S
    
    Matrix
    
    Vector
    
    Vector
  - Linear_algebra_tools
    
    Lacaml
    
    Mat
    
    Vec
  - List1
  - MCMC
    
    M
    
    Alignment
    
    Felsenstein
  - Mutsel
    
    NSCodon_rate_matrix
  - Nelder_mead
  - Newick
  - Newick_ast
  - Newick_lexer
  - Newick_parser
    
    Incremental
    
    MenhirInterpreter
  - Newick_parser_errors
  - Nucleotide
    
    Matrix
    
    Table
    
    Vector
  - Phylip
  - Phylo_ctmc
  - Phylogenetic_tree
  - Rate_matrix
    
    Amino_acid
    
    Make
    
    A
    
    Matrix
    
    Table
    
    Vector
    
    Nucleotide
    
    S
  - Rejection_sampling
    
    Make
    
    Align
  - Seq
    
    Base
    
    DNA
    
    Make
    
    B
    
    Make_list
    
    B
    
    S
  - Sequence_generation
    
    Base
    
    Make
    
    A
    
    Matrix
    
    Table
    
    Vector
    
    Align
    
    E
    
    Seq
    
    Sequence
  - Sequence_simulator
    
    Alphabet
    
    Make
    
    A
  - Sigs
    
    ALIGNMENT
    
    BASE
    
    EVOL_MODEL
    
    SEQUENCE
  - Simulator
    
    Branch_info
    
    Make
    
    A
    
    Matrix
    
    Table
    
    Vector
    
    BI
    
    NSCodon
    
    BI
  - Site_evolution_model
    
    Diagonalizable_rate_matrix
    
    JC69
    
    JC69_numerical
    
    K80
    
    K80_numerical
    
    Make
    
    A
    
    Matrix
    
    Table
    
    Vector
    
    M
    
    Make_diag
    
    A
    
    Matrix
    
    Table
    
    Vector
    
    M
    
    Nucleotide_S_with_reduction
    
    Rate_matrix
    
    S
    
    S_with_reduction
  - Stat_tools
  - TKF91
    
    Make_simulator
    
    A
    
    Matrix
    
    Table
    
    Vector
    
    BI
  - Tree
  - Utils
  - Wag
  - Zipper

Legend:
Library
Module
Module type
Parameter
Class
Class type

K80 model with numerical calculation of probability transition matrix

include S
  with type vec := Nucleotide.vector
  with type mat := Nucleotide.matrix
  with type param = float

type param = float

val rate_matrix : param -> Nucleotide.matrix

val transition_probability_matrix : param -> float -> Nucleotide.matrix

val stationary_distribution : param -> Nucleotide.vector

val rate_matrix_reduction : 
  param ->
  Nucleotide.matrix * Nucleotide.vector * Nucleotide.matrix