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This package can convert between the three main forms of quadratic functions.

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DarkoGNU/QuadraticTools.jl

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QuadraticTools

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This package contains a set of functions useful when dealing with quadratic functions (polynomials of degree 2).

Are complex / imaginary numbers handled?

Yes, they're handled. The function fdelta has a parameter allow_complex, which, when set to false, will prevent it from returning a complex number. Right now, however, that parameter can't be customized when using other functions - they'll just assume that complex numbers are allowed.

Usage

Creating quadratic functions

  • create a struct representing the expanded form: expanded(a, b, c), e.g. expanded(1, 5, 6)
  • create a struct representing the factored form: factored(a, x1, x2), e.g. factored(1, -3.0, -2.0)
  • create a struct representing the vertex form: vertex(a, p, q), e.g. vertex(1, -2.5, -0.25)

Converting between different forms

  • convert a function to the expanded form: to_expanded(other_form), e.g. to_expanded(vertex(1, -2.5, -0.25))
  • convert a function to the factored form: to_factored(other_form), e.g. to_factored(expanded(1, 5, 6))
  • convert a function to the vertex form: to_vertex(other_form), e.g. to_vertex(factored(1, -3.0, -2.0))

Calculating the value

  • calculate the value of a function in a certain point: value(some_form, x), e.g. value(expanded(1, 5, 6), 10)

Comparing quadratic functions

  • compare two functions in the same form: just use ==, e.g. to_factored(vertex(-1, -2.5, -0.25)) == factored(-1, -2.5 - 0.5im, -2.5 + 0.5im)

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This package can convert between the three main forms of quadratic functions.

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