Class Factor

Display option (default): a power is written (P)^{n}, a negative one with a negative exponent. Chainable, kept by clone.

Display option: a fractional power is written as a radical (sqrt(P)) and a negative power as a fraction (1/(P)). Chainable, kept by clone.

Display option: do not wrap the polynom in parentheses when the power is 1. PolyFactor sets it on a lone factor. Chainable, kept by clone.

ASCIIMath rendering of the current state (terminal output, not chainable).

Base polynom. The getter returns a copy: modify the factor through its methods or the setter.

Power of the factor, as a fraction (a copy). A negative power is a denominator in a PolyFactor.

LaTeX rendering of the current state (terminal output, not chainable).

Variables of the base polynom, sorted.

Adding two factors is not defined.

Full duplicate of this instance, including display state (selected form and options set via as*** / with***). Distinct from copy.

Copy the mathematical state of another instance into this (display state is NOT transferred — the receiver keeps its own formatting). Entry point used when constructing/parsing from a same-type input. Distinct from clone. Classes without a real implementation throw NotImplementedError.

Degree of the polynom multiplied by the power.

Not available on a single factor: use getDerivativeFactors and compose through PolyFactor.

Expand the factor into a polynom (P^n with n a natural number).

Divide by a factor or a polynom: multiply by its inverse.

Value of the factor for given values of its variables: the polynom evaluated, then raised to the power.

Value of the factor for given values of its variables: the polynom evaluated, then raised to the power.

Value of the factor for given values of its variables: the polynom evaluated, then raised to the power.

Chain-rule decomposition of P(x)^n: returns the factors whose product equals d/dx[P^n].

• n = 0 → [0] (constant)
• n = 1 → [P'(x)]
• otherwise → [n, P'(x), P(x)^(n−1)]

Intended for use by PolyFactor.derivative, not for standalone consumption.

True when the base polynom contains the variable.

Negate the power (P^n becomes P^-n).

True when both factors have the same base polynom and the same power.

True when the base polynom is 1, or the power is zero.

True when the base polynom is the same; the power is ignored.

True when the base polynom is zero.

Multiply by another factor or polynom. Succeeds only when both share the same base polynomial; powers are added. Two single-monom factors with integer power 1 are multiplied directly as polynomials.

Set the factor to 1.

A factor has no sign: use PolyFactor, which adds a factor -1.

Replace the factor by a factor, a polynom or a string. When power is given, the power of the result is multiplied by it.

Multiply the power by value.

Not available on a single factor.

Not available on a single factor: use PolyFactor.reduce.

Divide the power by value (the square root of P^2 is P^1).

Square root: divide the power by 2.

Subtracting two factors is not defined.

Set the factor to 0.

True when the string has no + or - outside the parentheses, so it reads as a product of factors.

Parse a product string into an array of Factor instances.

Supported format: parenthesised terms with optional powers and implicit multiplication, e.g. "(3x+2)^2*(x-1)" or "(x+1)(x-1)^(1/2)". Non-parenthesised tokens (e.g. "3x") are treated as a single factor with implicit power ±1.

Build a factor of power 1 from a polynom, or from anything a polynom accepts.

Build a factor from a string such as "(x+1)^2". Only the first factor of a product is kept: use factorsFromString to get all of them.