sicmutils.polynomial.factor
This namespace contains functions for factoring polynomials and symbolic expressions.
This namespace contains functions for factoring polynomials and symbolic expressions.
analyzerclj/s
Expression analyzer, identical to [[polynomial/analyzer]] except the symbolic expressions returned are in factored form.
Expression analyzer, identical to [[polynomial/analyzer]] except the symbolic expressions returned are in factored form.
factorclj/s
(factor expr)Accepts a single symbolic expression and returns a factored version of that expression.
Differs from factor-expression in that it can handle any expression, not
just expressions limited to polynomial operations.
Accepts a single symbolic expression and returns a factored version of that expression. Differs from [[factor-expression]] in that it can handle any expression, not just expressions limited to polynomial operations.
factor-expressionclj/s
(factor-expression expr)(factor-expression expr simplify)Given some symbolic expression containing only polynomial operations, returns a factored version of the expression with basic simplifications applied.
Optionally accepts a simplify function that will be called on each factor of
exponent 0, 1, 2 etc. Defaults to identity.
NOTE prefer factor, as factor can handle expressions with
non-polynomial operations. The trigonometric functions, for example.
Given some symbolic expression containing only polynomial operations, returns a factored version of the expression with basic simplifications applied. Optionally accepts a `simplify` function that will be called on each factor of exponent 0, 1, 2 etc. Defaults to `identity`. NOTE prefer [[factor]], as [[factor]] can handle expressions with non-polynomial operations. The trigonometric functions, for example.
poly->factored-expressionclj/s
(poly->factored-expression p vars)(poly->factored-expression p vars simplify)Given a polynomial p, and a sequence of variables vars (one for each
indeterminate in p), returns a symbolic expression representing the product
of all factors of p.
Optionally accepts a simplify function that will be called on each factor of
exponent 0, 1, 2 etc. Defaults to identity.
Given a polynomial `p`, and a sequence of variables `vars` (one for each indeterminate in `p`), returns a symbolic expression representing the product of all factors of `p`. Optionally accepts a `simplify` function that will be called on each factor of exponent 0, 1, 2 etc. Defaults to `identity`.
root-out-squaresclj/s
(root-out-squares expr)Given an unwrapped symbolic expression, returns a new symbolic expression with
any perfect square (exponent with an even power) removed from underneath any
sqrt that appears in the expression.
To use root-out-squares with a wrapped symbolic expression,
use sicmutils.expression/fmap.
Given an unwrapped symbolic expression, returns a new symbolic expression with any perfect square (exponent with an even power) removed from underneath any `sqrt` that appears in the expression. To use [[root-out-squares]] with a wrapped symbolic expression, use [[sicmutils.expression/fmap]].
split-polynomialclj/s
(split-polynomial p)Given a [[Polynomial]] p, returns a sequence of factors of in order of
increasing power.
The first element is a constant factor, the next is a factor with power 1, and so on.
Given a [[Polynomial]] `p`, returns a sequence of factors of in order of increasing power. The first element is a constant factor, the next is a factor with power 1, and so on.
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