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  • Polynomial

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HTML Table
id
classservoy sSummary
Colgroup Tag
Column
padding0px
width80px

Column

Table Row (tr)
styleheight: 30px;
Table Head (th)
colspan2
Method Summary
Table Body (tbody)
Table Row (tr)
Table Cell (td)
void
Table Cell (td)
#addPolynomialaddPolynomial(polynomial)
Adds another polynomial to this polynomial.
tbody
Table Body (tbody)
Table Row (tr)
Table Cell (td)
void
Table Cell (td)
#addTermaddTerm(coefficient, exponent)
Adds a term to this polynomial.
Table Row (tr)
Table Cell (td)
Number
Table Cell (td)
#findRootfindRoot(startValue, error, iterations)
Finds a root of this polynomial using Newton's method, starting from an initial search value, and with a given precision.
tbody
Table Body (tbody)
Table Row (tr)
Table Cell (td)
Polynomial
Table Cell (td)
#getDerivativegetDerivative()
Returns a polynomial that holds the derivative of this polynomial.
Table Row (tr)
Table Cell (td)
Number
Table Cell (td)
#getDerivativeValuegetDerivativeValue(x)
Returns the value of the derivative of this polynomial in a certain point.
tbody
Table Body (tbody)
Table Row (tr)
Table Cell (td)
Number
Table Cell (td)
#getValuegetValue(x)
Returns the value of this polynomial in a certain point.
tbody
Table Row (tr)
Table Cell (td)
void
Table Cell (td)
#multiplyByPolynomialmultiplyByPolynomial(polynomial)
Multiplies this polynomial with another polynomial.
tbody
Table Row (tr)
Table Cell (td)
void
Table Cell (td)
#multiplyByTermmultiplyByTerm(coefficient, exponent)
Multiples this polynomial with a term.
Table Row (tr)
Table Cell (td)
void
Table Cell (td)
#setToZerosetToZero()
Sets this polynomial to zero.

HTML Table
idfunction
classservoy sDetail
Colgroup Tag
Column
padding0px
width100%

Table Row (tr)
styleheight: 30px;
Table Head (th)
colspan1
Method Details
Table Body (tbody)
idaddPolynomial-Polynomial
Table Row (tr)
idname
Table Cell (td)
addPolynomial
Table Row (tr)
idsig
Table Cell (td)
Span
stylemargin-right: 5px;
void
Span
stylefont-weight: bold;
addPolynomial
Span
(polynomial)
Table Row (tr)
iddes
Table Cell (td)
Div
classsIndent
Adds another polynomial to this polynomial.
Table Row (tr)
idprs
Table Cell (td)
Parameters
Div
classsIndent
{Polynomial} polynomial
Table Row (tr)
idret
Table Cell (td)
Returns
Div
classsIndent
void
Table Row (tr)
idsam
Table Cell (td)
Sample
Div
classsIndent
Code Block
languagejavascript

...

// (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));

...

Table Row (tr)
classlastDetailRow
Table Cell (td)

Table Body (tbody)
idaddTerm-Number_Number
Table Row (tr)
idname
Table Cell (td)
addTerm
Table Row (tr)
idsig
Table Cell (td)
Span
stylemargin-right: 5px;
void
Span
stylefont-weight: bold;
addTerm
Span
(coefficient, exponent)
Table Row (tr)
iddes
Table Cell (td)
Div
classsIndent
Adds a term to this polynomial.
Table Row (tr)
idprs
Table Cell (td)
Parameters
Div
classsIndent
{Number} coefficient
{Number} exponent
Table Row (tr)
idret
Table Cell (td)
Returns
Div
classsIndent
void
Table Row (tr)
idsam
Table Cell (td)
Sample
Div
classsIndent
Code Block
languagejavascript

...

// (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));

...

Table Row (tr)
classlastDetailRow
Table Cell (td)

Table Body (tbody)
idfindRoot-Number_Number_Number
Table Row (tr)
idname
Table Cell (td)
findRoot
Table Row (tr)
idsig
Table Cell (td)
Span
stylemargin-right: 5px;
Number
Span
stylefont-weight: bold;
findRoot
Span
(startValue, error, iterations)
Table Row (tr)
iddes
Table Cell (td)
Div
classsIndent
Finds a root of this polynomial using Newton's method, starting from an initial search value, and with a given precision.
Table Row (tr)
idprs
Table Cell (td)
Parameters
Div
classsIndent
{Number} startValue
{Number} error
{Number} iterations
Table Row (tr)
idret
Table Cell (td)
Returns
Div
classsIndent
Number
Table Row (tr)
idsam
Table Cell (td)
Sample
Div
classsIndent
Code Block
languagejavascript

...

// 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.");

...

Table Row (tr)
classlastDetailRow
Table Cell (td)

Table Body (tbody)
idgetDerivative
Table Row (tr)
idname
Table Cell (td)
getDerivative
Table Row (tr)
idsig
Table Cell (td)
Span
stylemargin-right: 5px;
Polynomial
Span
stylefont-weight: bold;
getDerivative
Span
()
Table Row (tr)
iddes
Table Cell (td)
Div
classsIndent
Returns a polynomial that holds the derivative of this polynomial.
Table Row (tr)
idret
Table Cell (td)
Returns
Div
classsIndent
Polynomial
Table Row (tr)
idsam
Table Cell (td)
Sample
Div
classsIndent
Code Block
languagejavascript

...

// 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.");

...

Table Row (tr)
classlastDetailRow
Table Cell (td)

Table Body (tbody)
idgetDerivativeValue-Number
Table Row (tr)
idname
Table Cell (td)
getDerivativeValue
Table Row (tr)
idsig
Table Cell (td)
Span
stylemargin-right: 5px;
Number
Span
stylefont-weight: bold;
getDerivativeValue
Span
(x)
Table Row (tr)
iddes
Table Cell (td)
Div
classsIndent
Returns the value of the derivative of this polynomial in a certain point.
Table Row (tr)
idprs
Table Cell (td)
Parameters
Div
classsIndent
{Number} x
Table Row (tr)
idret
Table Cell (td)
Returns
Div
classsIndent
Number
Table Row (tr)
idsam
Table Cell (td)
Sample
Div
classsIndent
Code Block
languagejavascript

...

// 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.");

...

Table Row (tr)
classlastDetailRow
Table Cell (td)

Table Body (tbody)
idgetValue-Number
Table Row (tr)
idname
Table Cell (td)
getValue
Table Row (tr)
idsig
Table Cell (td)
Span
stylemargin-right: 5px;
Number
Span
stylefont-weight: bold;
getValue
Span
(x)
Table Row (tr)
iddes
Table Cell (td)
Div
classsIndent
Returns the value of this polynomial in a certain point.
Table Row (tr)
idprs
Table Cell (td)
Parameters
Div
classsIndent
{Number} x
Table Row (tr)
idret
Table Cell (td)
Returns
Div
classsIndent
Number
Table Row (tr)
idsam
Table Cell (td)
Sample
Div
classsIndent
Code Block
languagejavascript

...

// 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.");

...

Table Row (tr)
classlastDetailRow
Table Cell (td)

Table Body (tbody)
idmultiplyByPolynomial-Polynomial
Table Row (tr)
idname
Table Cell (td)
multiplyByPolynomial
Table Row (tr)
idsig
Table Cell (td)
Span
stylemargin-right: 5px;
void
Span
stylefont-weight: bold;
multiplyByPolynomial
Span
(polynomial)
Table Row (tr)
iddes
Table Cell (td)
Div
classsIndent
Multiplies this polynomial with another polynomial.
Table Row (tr)
idprs
Table Cell (td)
Parameters
Div
classsIndent
{Polynomial} polynomial
Table Row (tr)
idret
Table Cell (td)
Returns
Div
classsIndent
void
Table Row (tr)
idsam
Table Cell (td)
Sample
Div
classsIndent
Code Block
languagejavascript

...

// 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));

...

Table Row (tr)
classlastDetailRow
Table Cell (td)

Table Body (tbody)
idmultiplyByTerm-Number_Number
Table Row (tr)
idname
Table Cell (td)
multiplyByTerm
Table Row (tr)
idsig
Table Cell (td)
Span
stylemargin-right: 5px;
void
Span
stylefont-weight: bold;
multiplyByTerm
Span
(coefficient, exponent)
Table Row (tr)
iddes
Table Cell (td)
Div
classsIndent
Multiples this polynomial with a term.
Table Row (tr)
idprs
Table Cell (td)
Parameters
Div
classsIndent
{Number} coefficient
{Number} exponent
Table Row (tr)
idret
Table Cell (td)
Returns
Div
classsIndent
void
Table Row (tr)
idsam
Table Cell (td)
Sample
Div
classsIndent
Code Block
languagejavascript

...

// (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));

...

Table Row (tr)
classlastDetailRow
Table Cell (td)

Table Body (tbody)
idsetToZero
Table Row (tr)
idname
Table Cell (td)
setToZero
Table Row (tr)
idsig
Table Cell (td)
Span
stylemargin-right: 5px;
void
Span
stylefont-weight: bold;
setToZero
Span
()
Table Row (tr)
iddes
Table Cell (td)
Div
classsIndent
Sets this polynomial to zero.
Table Row (tr)
idret
Table Cell (td)
Returns
Div
classsIndent
void
Table Row (tr)
idsam
Table Cell (td)
Sample
Div
classsIndent
Code Block
languagejavascript

...

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

...

Table Row (tr)
classlastDetailRow
Table Cell (td)