Polynomial

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Method Summary

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void

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addPolynomial(polynomial)
Adds another polynomial to this polynomial.

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void

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addTerm(coefficient, exponent)
Adds a term to this polynomial.

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Number

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findRoot(startValue, error, iterations)
Finds a root of this polynomial using Newton's method, starting from an initial search value, and with a given precision.

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Polynomial

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getDerivative()
Returns a polynomial that holds the derivative of this polynomial.

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Number

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getDerivativeValue(x)
Returns the value of the derivative of this polynomial in a certain point.

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Number

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getValue(x)
Returns the value of this polynomial in a certain point.

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void

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multiplyByPolynomial(polynomial)
Multiplies this polynomial with another polynomial.

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void

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multiplyByTerm(coefficient, exponent)
Multiples this polynomial with a term.

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void

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setToZero()
Sets this polynomial to zero.

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Method Details

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addPolynomial

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void

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addPolynomial

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(polynomial)

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Adds another polynomial to this polynomial.

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Parameters

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polynomial

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Returns

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void

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Also see

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External links

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Sample

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// (x+1) + 2*(x+1)*x + 3*(x+1)*x^2 + 4*(x+1)*x^3
var eq = plugins.amortization.newPolynomial();
for (var i = 0; i < 4; i++)
{
	var base = plugins.amortization.newPolynomial();
	base.addTerm(1, 1);
	base.addTerm(1, 0);
	base.multiplyByTerm(1, i);
	base.multiplyByTerm(i + 1, 0);
	eq.addPolynomial(base);
}
application.output(eq.getValue(2));

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addTerm

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void

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addTerm

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(coefficient, exponent)

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Adds a term to this polynomial.

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Parameters

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coefficient
exponent

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Returns

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void

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Also see

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External links

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Sample

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// Model the quadratic equation -x^2 + 4x + 0.6 = 0
var eq = plugins.amortization.newPolynomial();
eq.addTerm(-1, 2);
eq.addTerm(4, 1);
eq.addTerm(0.6, 0);
// Find the roots of the equation.
r1 = eq.findRoot(100, 1E-5, 1000);
r2 = eq.findRoot(-100, 1E-5, 1000);
application.output("eq(" + r1 + ")=" + eq.getValue(r1));
application.output("eq(" + r2 + ")=" + eq.getValue(r2));
// Find the minimum/maximum point by zeroing the first derivative.
var deriv = eq.getDerivative();
rd = deriv.findRoot(0, 1E-5, 1000);
application.output("Min/max point: " + rd);
application.output("Min/max value: " + eq.getValue(rd));
if (deriv.getDerivativeValue(rd) < 0) application.output("Max point.");
else application.output("Min point.");

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findRoot

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Number

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findRoot

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(startValue, error, iterations)

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Finds a root of this polynomial using Newton's method, starting from an initial search value, and with a given precision.

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Parameters

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startValue
error
iterations

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Returns

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Number

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Also see

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External links

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Sample

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// Model the quadratic equation -x^2 + 4x + 0.6 = 0
var eq = plugins.amortization.newPolynomial();
eq.addTerm(-1, 2);
eq.addTerm(4, 1);
eq.addTerm(0.6, 0);
// Find the roots of the equation.
r1 = eq.findRoot(100, 1E-5, 1000);
r2 = eq.findRoot(-100, 1E-5, 1000);
application.output("eq(" + r1 + ")=" + eq.getValue(r1));
application.output("eq(" + r2 + ")=" + eq.getValue(r2));
// Find the minimum/maximum point by zeroing the first derivative.
var deriv = eq.getDerivative();
rd = deriv.findRoot(0, 1E-5, 1000);
application.output("Min/max point: " + rd);
application.output("Min/max value: " + eq.getValue(rd));
if (deriv.getDerivativeValue(rd) < 0) application.output("Max point.");
else application.output("Min point.");

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getDerivative

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Polynomial

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getDerivative

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()

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Returns a polynomial that holds the derivative of this polynomial.

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Parameters

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Returns

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Polynomial

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Also see

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External links

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Sample

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// Model the quadratic equation -x^2 + 4x + 0.6 = 0
var eq = plugins.amortization.newPolynomial();
eq.addTerm(-1, 2);
eq.addTerm(4, 1);
eq.addTerm(0.6, 0);
// Find the roots of the equation.
r1 = eq.findRoot(100, 1E-5, 1000);
r2 = eq.findRoot(-100, 1E-5, 1000);
application.output("eq(" + r1 + ")=" + eq.getValue(r1));
application.output("eq(" + r2 + ")=" + eq.getValue(r2));
// Find the minimum/maximum point by zeroing the first derivative.
var deriv = eq.getDerivative();
rd = deriv.findRoot(0, 1E-5, 1000);
application.output("Min/max point: " + rd);
application.output("Min/max value: " + eq.getValue(rd));
if (deriv.getDerivativeValue(rd) < 0) application.output("Max point.");
else application.output("Min point.");

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getDerivativeValue

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Number

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getDerivativeValue

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(x)

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Returns the value of the derivative of this polynomial in a certain point.

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Parameters

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x

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Returns

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Number

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Also see

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External links

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Sample

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// Model the quadratic equation -x^2 + 4x + 0.6 = 0
var eq = plugins.amortization.newPolynomial();
eq.addTerm(-1, 2);
eq.addTerm(4, 1);
eq.addTerm(0.6, 0);
// Find the roots of the equation.
r1 = eq.findRoot(100, 1E-5, 1000);
r2 = eq.findRoot(-100, 1E-5, 1000);
application.output("eq(" + r1 + ")=" + eq.getValue(r1));
application.output("eq(" + r2 + ")=" + eq.getValue(r2));
// Find the minimum/maximum point by zeroing the first derivative.
var deriv = eq.getDerivative();
rd = deriv.findRoot(0, 1E-5, 1000);
application.output("Min/max point: " + rd);
application.output("Min/max value: " + eq.getValue(rd));
if (deriv.getDerivativeValue(rd) < 0) application.output("Max point.");
else application.output("Min point.");

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getValue

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Number

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getValue

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(x)

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Returns the value of this polynomial in a certain point.

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Parameters

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x

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Returns

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Number

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Also see

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External links

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Sample

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// Model the quadratic equation -x^2 + 4x + 0.6 = 0
var eq = plugins.amortization.newPolynomial();
eq.addTerm(-1, 2);
eq.addTerm(4, 1);
eq.addTerm(0.6, 0);
// Find the roots of the equation.
r1 = eq.findRoot(100, 1E-5, 1000);
r2 = eq.findRoot(-100, 1E-5, 1000);
application.output("eq(" + r1 + ")=" + eq.getValue(r1));
application.output("eq(" + r2 + ")=" + eq.getValue(r2));
// Find the minimum/maximum point by zeroing the first derivative.
var deriv = eq.getDerivative();
rd = deriv.findRoot(0, 1E-5, 1000);
application.output("Min/max point: " + rd);
application.output("Min/max value: " + eq.getValue(rd));
if (deriv.getDerivativeValue(rd) < 0) application.output("Max point.");
else application.output("Min point.");

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multiplyByPolynomial

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void

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multiplyByPolynomial

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(polynomial)

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Multiplies this polynomial with another polynomial.

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Parameters

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polynomial

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Returns

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void

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External links

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Sample

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// Model the quadratic equation (x+1)*(x+2) = 0
var eq = plugins.amortization.newPolynomial();
eq.addTerm(1, 1);
eq.addTerm(1, 0);
var eq2 = plugins.amortization.newPolynomial();
eq2.addTerm(1, 1);
eq2.addTerm(2, 0);
eq.multiplyByPolynomial(eq2);
// Find the roots of the equation.
r1 = eq.findRoot(100, 1E-5, 1000);
r2 = eq.findRoot(-100, 1E-5, 1000);
application.output("eq(" + r1 + ")=" + eq.getValue(r1));
application.output("eq(" + r2 + ")=" + eq.getValue(r2));

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multiplyByTerm

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void

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multiplyByTerm

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(coefficient, exponent)

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Multiples this polynomial with a term.

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Parameters

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coefficient
exponent

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Returns

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void

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Also see

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External links

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Sample

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// (x+1) + 2*(x+1)*x + 3*(x+1)*x^2 + 4*(x+1)*x^3
var eq = plugins.amortization.newPolynomial();
for (var i = 0; i < 4; i++)
{
	var base = plugins.amortization.newPolynomial();
	base.addTerm(1, 1);
	base.addTerm(1, 0);
	base.multiplyByTerm(1, i);
	base.multiplyByTerm(i + 1, 0);
	eq.addPolynomial(base);
}
application.output(eq.getValue(2));

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setToZero

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void

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setToZero

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()

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Sets this polynomial to zero.

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Parameters

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Returns

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void

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Also see

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External links

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Sample

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var eq = plugins.amortization.newPolynomial();
eq.addTerm(2, 3);
application.output(eq.getValue(1.1));
eq.setToZero();
application.output(eq.getValue(1.1));

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No labels

Child pages

Polynomial

addPolynomial

addTerm

findRoot

getDerivative

getDerivativeValue

getValue

multiplyByPolynomial

multiplyByTerm

setToZero