Algebra and analysis

The algebra and analysis modules are described in one page per family of classes. Each page explains the classes with examples, then lists their members.

Page	Classes
Numbers	Fraction, Root, Numeric
Polynomials	Monom, Polynom, Factor, PolyFactor
Equations and solutions	Equation, Solution
Matrices and systems	Matrix, PolyMatrix, LinearSystem
Intervals, domains and signs	Interval, Domain, TableOfSigns, LogicalSet

A first example that crosses these modules: a polynomial, its roots, and the sign of its values.

const P = new Polynom('x^2-5x+6')

P.factorize().map(f => f.display) // [ 'x-2', 'x-3' ]
new Equation('x^2-5x+6=0').solve().map(s => s.display) // [ '2', '3' ]
new TableOfSigns(P).negative().display // ]2;3[

Geometry has its own pages: in the plane and in space.

Rules shared by every class

• Mutating operations. add, subtract, multiply, divide, pow, reduce... modify the object and return it. clone() keeps the original, and a failing operation leaves the object unchanged.
• Output. .tex gives LaTeX and .display gives plain text. See displaying results.
• Permissive and strict types. Fraction represents an invalid or infinite value like a JavaScript number (isNaN(), isFinite()). Root, Monom, Polynom and the other expression types are strict and throw on a malformed input. See errors.
• Predicates are methods. isZero(), isOne(), isEqual(), isSameAs()... are called with parentheses. In untyped JavaScript, obj.isZero without them is always truthy.