Real Equation Solver

Equation solver and generator for real-valued polynomial equations up to 4th degree.

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Table of Content

1. Download
2. Example
3. Reference
4. Contributing

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Download

• Asset Store
• Asset Library
• GitHub

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Example

func example() -> void:
    print(ResSolver.linear(5, -10)) # Prints 2
    print(ResSolver.quadratic(1, 1, -6)) # Prints [-3, 2]
    print(ResSolver.cubic(2, -11, 12, 9)) # Prints [-0.5, 3]
    print(ResSolver.quartic(1, -10, 35, -50, 24)) # Prints [1, 2, 3, 4]

    print(ResGenerator.quartic(1, 2, 3, 4)) # Prints [1, -10, 35, -50, 24]

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Reference

1. RealEquationSolver
   1. ResSolver
   2. ResGenerator

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ResSolver

float linear(a: float, b: float) static

Returns a real root of an equation of the form: ax + b = 0

float linear_array(coeffs: Array[float]) static

See linear().

Array[float] quadratic(a: float, b: float, c: float) static

Returns a sorted array of real roots of an equation of the form: ax² + bx + c = 0.

Array[float] quadratic_array(coeffs: Array[float]) static

See quadratic().

Array[float] cubic(a: float, b: float, c: float, d: float) static

Returns a sorted array of real roots of an equation of the form: ax³ + bx² + cx + d = 0.
Warning: For large argument values, answers may be inaccurate or incorrect, e.g. >= 10_000_000.

Array[float] cubic_array(coeffs: Array[float]) static

See cubic().

Array[float] quartic(a: float, b: float, c: float, d: float, e: float) static

Returns a sorted array of real roots of an equation of the form: ax⁴ + bx³ + cx² + dx + e = 0.
Warning: For large argument values, answers may be inaccurate or incorrect, e.g. >= 10_000_000.

Array[float] quartic_array(coeffs: Array[float]) static

See quartic().

Array[float] solve(...coeffs: Array) vararg static

Returns a sorted array of the real roots of an equation based on the number of arguments.
Warning: For large argument values, answers may be inaccurate or incorrect, e.g. >= 10_000_000.

Array[float] solve_array(coeffs: Array[float]) static

See solve().

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ResGenerator

Array[float] linear(r0: float) static

Returns the coefficients of a equation with the given roots, in the form: ax + b = 0. Where the leading coefficient a is always 1.

Array[float] linear_array(roots: Array[float]) static

See linear().

Array[float] quadratic(...roots: Array) vararg static

Returns the coefficients of a equation with the given roots, in the form: ax² + bx + c = 0. Where the leading coefficient a is always 1.

Array[float] quadratic_array(roots: Array[float]) static

See quadratic().

Array[float] cubic(...roots: Array) vararg static

Returns the coefficients of a equation with the given roots, in the form: ax³ + bx² + cx + d = 0, where the leading coefficient a is always 1.

Array[float] cubic_array(roots: Array[float]) static

See cubic().

Array[float] quartic(...roots: Array) vararg static

Returns the coefficients of a equation with the given roots, in the form: ax⁴ + bx³ + cx² + dx + e = 0, where the leading coefficient a is always 1.

Array[float] quartic_array(roots: Array[float]) static

See quartic().

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Contributing

• Contributions are welcome. Open an issue or PR.

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