- Companion:
- object
Type members
Classlikes
Value members
Inherited methods
Compose this polynomial with another.
Compose this polynomial with another.
- Inherited from:
- Polynomial
Returns a map from exponent to coefficient of this polynomial.
Returns a map from exponent to coefficient of this polynomial.
- Inherited from:
- Polynomial
This will flip/mirror the polynomial about the y-axis. It is equivalent to poly.compose(-Polynomial.x)
, but will
likely be faster to calculate.
This will flip/mirror the polynomial about the y-axis. It is equivalent to poly.compose(-Polynomial.x)
, but will
likely be faster to calculate.
- Inherited from:
- Polynomial
Returns true
iff this polynomial is constant.
Returns true
iff this polynomial is constant.
- Inherited from:
- Polynomial
Returns the term of the highest degree in this polynomial.
Returns the term of the highest degree in this polynomial.
- Inherited from:
- Polynomial
Returns the non-zero term of the minimum degree in this polynomial, unless it is zero. If this polynomial is zero, then this returns a zero term.
Returns the non-zero term of the minimum degree in this polynomial, unless it is zero. If this polynomial is zero, then this returns a zero term.
- Inherited from:
- Polynomial
Returns this polynomial as a monic polynomial, where the leading coefficient (ie. maxOrderTermCoeff
) is 1.
Returns this polynomial as a monic polynomial, where the leading coefficient (ie. maxOrderTermCoeff
) is 1.
- Inherited from:
- Polynomial
Returns the reciprocal of this polynomial. Essentially, if this polynomial is p
with degree n
, then returns a
polynomial q(x) = x^n*p(1/x)
.
Returns the reciprocal of this polynomial. Essentially, if this polynomial is p
with degree n
, then returns a
polynomial q(x) = x^n*p(1/x)
.
- See also:
- Inherited from:
- Polynomial
Removes all zero roots from this polynomial.
Removes all zero roots from this polynomial.
- Inherited from:
- Polynomial
Returns the real roots of this polynomial.
Returns the real roots of this polynomial.
Depending on C
, the finder
argument may need to be passed "explicitly" via an implicit conversion. This is
because some types (eg BigDecimal
, Rational
, etc) require an error bound, and so provide implicit conversions
to RootFinder
s from the error type. For instance, BigDecimal
requires either a scale or MathContext. So, we'd
call this method with poly.roots(MathContext.DECIMAL128)
, which would return a Roots[BigDecimal
whose roots are
approximated to the precision specified in DECIMAL128
and rounded appropriately.
On the other hand, a type like Double
doesn't require an error bound and so can be called without specifying the
RootFinder
.
- Value parameters:
- finder
a root finder to extract roots with
- Returns:
the real roots of this polynomial
- Inherited from:
- Polynomial
Shift this polynomial along the x-axis by h
, so that this(x + h) == this.shift(h).apply(x)
. This is equivalent
to calling this.compose(Polynomial.x + h)
, but is likely to compute the shifted polynomial much faster.
Shift this polynomial along the x-axis by h
, so that this(x + h) == this.shift(h).apply(x)
. This is equivalent
to calling this.compose(Polynomial.x + h)
, but is likely to compute the shifted polynomial much faster.
- Inherited from:
- Polynomial
Returns the number of sign variations in the coefficients of this polynomial. Given 2 consecutive terms (ignoring 0 terms), a sign variation is indicated when the terms have differing signs.
Returns the number of sign variations in the coefficients of this polynomial. Given 2 consecutive terms (ignoring 0 terms), a sign variation is indicated when the terms have differing signs.
- Inherited from:
- Polynomial