GravityEngine2.PolynomialSolver Class Reference

Static Public Member Functions
static Complex[]	BrokenCubic (double p, double q, double r)
	Solutions of the cubic y^3 + p y^2 + q y + r = 0.
static double[]	Quadratic (double a, double b, double c)
	Solve the equation ax^2 + bx + c = 0 for two real roots. If solution is complex, return NaN.
static Complex[]	Quartic (double a, double b, double c, double d)
	Solve a Quartic of the form: x^4 + a x^3 + b x^2 + c x + d = 0.
static Complex[]	SolveCubic (double a, double b, double c, double d)
	Solve ax^3+bx^2+cx+d=0 for x. Calculation of the 3 roots of a cubic equation according to https://en.wikipedia.org/wiki/Cubic_equation#General_cubic_formula Using the complex struct from System.Numerics Visual Studio 2010, .NET version 4.0 (Initial Implementation from https://www.daniweb.com/programming/software-development/code/454493/solving-the-cubic-equation-using-the-complex-struct (added fix for initial C=0)

Member Function Documentation

BrokenCubic()

static Complex[] GravityEngine2.PolynomialSolver.BrokenCubic ( double p, double q, double r )

static

Solutions of the cubic y^3 + p y^2 + q y + r = 0.

From CRC Standard Math Tables, 28th Edition p9.

Parameters

p
q
r

Returns

DOES not work. Something to do with the choice of cube roots maybe?

Quadratic()

static double[] GravityEngine2.PolynomialSolver.Quadratic ( double a, double b, double c )

static

Solve the equation ax^2 + bx + c = 0 for two real roots. If solution is complex, return NaN.

Parameters

a
b
c

Returns

Quartic()

static Complex[] GravityEngine2.PolynomialSolver.Quartic ( double a, double b, double c, double d )

static

Solve a Quartic of the form: x^4 + a x^3 + b x^2 + c x + d = 0.

CRC Math Handbook. 28th Ed. p 12

Returns

array of solutions

SolveCubic()

static Complex[] GravityEngine2.PolynomialSolver.SolveCubic ( double a, double b, double c, double d )

static

Solve ax^3+bx^2+cx+d=0 for x. Calculation of the 3 roots of a cubic equation according to https://en.wikipedia.org/wiki/Cubic_equation#General_cubic_formula Using the complex struct from System.Numerics Visual Studio 2010, .NET version 4.0 (Initial Implementation from https://www.daniweb.com/programming/software-development/code/454493/solving-the-cubic-equation-using-the-complex-struct (added fix for initial C=0)

Parameters

a	real coefficient of x to the 3th power
b	real coefficient of x to the 2nd power
c	real coefficient of x to the 1th power
d	real coefficient of x to the zeroth power

Returns

A list of 3 complex numbers

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The documentation for this class was generated from the following file:

• ge2/GE2/Assets/GravityEngine2/Runtime/Math/PolynomialSolver.cs