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Statistics, Linear Algebra, Information Measures, Cholesky Matrix Decomposition, Mahalanobis Distance, Multidimensional Data Analysis, Machine Learning and more …
Modules
Custom error RError
Vector algebra mutating an f64 vector
Basic statistics on a single generic vector
Associated functions implemented for struct TriangMat
Vector algebra on two generic vectors
Stats and vector algebra on one or two u8 vectors
Multidimensional operations on sets of vectors
Multidimensional operations on sets of vectors, with additional inputs
Structs
Holds measures of central tendency and spread.
Usually some kind of mean and its associated standard deviation, or median and its MAD
Median, quartiles, mad (median of absolute diffs)
struct for minimum value, its index, maximum value, its index
Compact Triangular Matrix.
TriangMat is typically result of some matrix calculations,
so concrete end-type f64 is used for simplicity and accuracy.
TriangMat with
.transposed == true is a transposed upper triangular matrix.
.symmetric == true represents, without duplications, a symmetric matrix.
The size of the implied full square matrix, nxn, is not explicitly stored.
It is obtained by solving the quadratic equation:
((((8 * s + 1) as f64).sqrt() - 1.) / 2.) as usize;
where s = triangmat.len().
Converting the other way: s = (n+1)*n/2;Enums
custom error
Constants
When interpolated, makes following foreground rendering bold blue
When interpolated, makes following foreground rendering bold cyan
When interpolated, makes following foreground rendering bold green
When interpolated, makes following foreground rendering bold magenta
When interpolated, makes following foreground rendering bold red
Returns the terminal rendering to default
When interpolated, makes following foreground rendering bold yellow
Traits
Fast 1D generic medians and associated information and tasks
Mutable operations on one generic slice.
A few of the essential
Vecg methods are reimplemented here
to mutate self. This is for efficiency and convenience.
For example, in vector iterative methods.Trait to serialize tuples
All are converted into Strings and optionally decorated and coloured. Included are methods and constants to render the resulting String in six primary bold ANSI terminal colours.
&(T,T) and &(T,T,T) and
slices &[T], &[&[T]], &[Vec<T>].
Suitable for printing or writing to files pairs, triplets,
all kinds of Vecs and slices and irregularly shaped 2D matrices.All are converted into Strings and optionally decorated and coloured. Included are methods and constants to render the resulting String in six primary bold ANSI terminal colours.
Statistical measures of a single variable (one generic vector of data) and
vector algebra applicable to a single (generic) vector.
Thus these methods take no arguments.
Methods applicable to a slice of vectors of generic end type.
Operations on a whole set of multidimensional vectors.
Methods applicable to slice of vectors of generic end type, plus one other argument
of a similar kind
Vector Algebra on two vectors (represented here as generic slices).
Also included are scalar operations on the
self vector.Methods specialised to and more efficient, for
&[u8]Functions
Convenience From quantification invocation
Convenience dummy function for quantify closure
Standard error in 1d: (value-centre)/dispersion
for any measure of central tendency and dispersion
Sum of natural numbers 1..n.
Also the size of an upper or lower triangle
of a square array (including the diagonal)
to exclude the diagonal, use
sumn(n-1)Generates full nxn unit (identity) matrix
Type Definitions
Shorthand type for returned errors with message payload