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{div} {div:id=description}{div}\\ {table:id=|class=servoy sSummary}{colgroup}{column:width=80px|padding=0px}{column}{column}{column}{colgroup}{tr:style=height: 30px;}{th:colspan=2}Method Summary{th}{tr}{tbody}{tr}{td}void{td}{td}[#addPolynomial]\(polynomial) Adds another polynomial to this polynomial.{td}{tr}{tbody}{tbody}{tr}{td}void{td}{td}[#addTerm]\(coefficient, exponent) Adds a term to this polynomial.{td}{tr}{tbody}{tbody}{tr}{td}[Number]{td}{td}[#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.{td}{tr}{tbody}{tbody}{tr}{td}[Polynomial]{td}{td}[#getDerivative]\() Returns a polynomial that holds the derivative of this polynomial.{td}{tr}{tbody}{tbody}{tr}{td}[Number]{td}{td}[#getDerivativeValue]\(x) Returns the value of the derivative of this polynomial in a certain point.{td}{tr}{tbody}{tbody}{tr}{td}[Number]{td}{td}[#getValue]\(x) Returns the value of this polynomial in a certain point.{td}{tr}{tbody}{tbody}{tr}{td}void{td}{td}[#multiplyByPolynomial]\(polynomial) Multiplies this polynomial with another polynomial.{td}{tr}{tbody}{tbody}{tr}{td}void{td}{td}[#multiplyByTerm]\(coefficient, exponent) Multiples this polynomial with a term.{td}{tr}{tbody}{tbody}{tr}{td}void{td}{td}[#setToZero]\() Sets this polynomial to zero.{td}{tr}{tbody}{table}\\ {table:id=function|class=servoy sDetail}{colgroup}{column:width=100%|padding=0px}{column}{colgroup}{tr:style=height: 30px;}{th:colspan=1}Method Details{th}{tr}{tbody:id=addPolynomial-Polynomial}{tr:id=name}{td}h6.addPolynomial{td}{tr}{tr:id=sig}{td}{span:style=margin-right: 5px;}void{span}{span:style=font-weight: bold;}addPolynomial{span}{span}\(polynomial){span}{td}{tr}{tr:id=prs}{td}*Parameters*\\{div:class=sIndent}\{[Polynomial]} polynomial {div}{td}{tr}{tr:id=ret}{td}*Returns*\\{div:class=sIndent}void{div}{td}{tr}{tr:id=sam}{td}*Sample*\\{div:class=sIndent}{code:language=javascript}

.

Div

id	description

HTML Table

id
class	servoy sSummary

Colgroup Tag

Col

width	80px

Col

Table Head (thead)

Table Row (tr)

style	height: 30px;

Table Head (th)

colspan	2

Method Summary

Table Row (tr)

Table Cell (td)
void

Table Cell (td)
addPolynomial(polynomial) Adds another polynomial to this polynomial.

Table Row (tr)

Table Cell (td)
void

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

Table Row (tr)

Table Cell (td)
Number

Table Cell (td)
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.

Table Row (tr)

Table Cell (td)
Polynomial

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

Table Row (tr)

Table Cell (td)
Number

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

Table Row (tr)

Table Cell (td)
Number

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

Table Row (tr)

Table Cell (td)
void

Table Cell (td)
multiplyByPolynomial(polynomial) Multiplies this polynomial with another polynomial.

Table Row (tr)

Table Cell (td)
void

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

Table Row (tr)

Table Cell (td)
void

Table Cell (td)
setToZero() Sets this polynomial to zero.

HTML Table

id	function
class	servoy sDetail

Colgroup Tag

Col

colspan	2
width	100%

Col

Table Head (thead)

Table Row (tr)

style	height: 30px;

Table Head (th)

colspan	2

Method Details

Table Body (tbody)

id	addPolynomial-Polynomial

Table Row (tr)

id	name

Table Cell (td)
addPolynomial

Table Row (tr)

id	sig

Table Cell (td)

Span

style	margin-right: 5px;

void

Span

style	font-weight: bold;

addPolynomial

Span
(polynomial)

Table Row (tr)

id	des

Table Cell (td)

Div

class	sIndent

Adds another polynomial to this polynomial.

Table Row (tr)

id	prs

Table Cell (td)

Parameters

Div

class	sIndent

{Polynomial} polynomial

Table Row (tr)

id	ret

Table Cell (td)

Returns

Div

class	sIndent

void

Table Row (tr)

id	sam

Table Cell (td)

Sample

Div

class	sIndent

Code Block

language	javascript

// (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));

{code}{div}{td}{tr}{tr:class=lastDetailRow}{td}{td}{tr}{tbody}{tbody:id=

Table Row (tr)

class	lastDetailRow

Table Cell (td)

Table Body (tbody)

id	addTerm-Number_Number

}{

Table Row (tr)

:

id

=

	name

}{td}h6.addTerm{td}{tr}{tr:id=sig}{td}{span:style=

Table Cell (td)
addTerm

Table Row (tr)

id	sig

Table Cell (td)

Span

style	margin-right:

5px;

}

void

{span}{span:style=

Span

style	font-weight:

bold;

}

addTerm

{span}{span}\

Span
(coefficient,

exponent)

{span}{td}{tr}{tr:id=prs}{td}*Parameters*\\{div:class=sIndent}\{[Number]} coefficient \{[Number]} exponent {div}{td}{tr}{tr:id=ret}{td}*Returns*\\{div:class=sIndent}void{div}{td}{tr}{tr:id=sam}{td}*Sample*\\{div:class=sIndent}{code:language=javascript}

Table Row (tr)

id	des

Table Cell (td)

Div

class	sIndent

Adds a term to this polynomial.

Table Row (tr)

id	prs

Table Cell (td)

Parameters

Div

class	sIndent

{Number} coefficient
{Number} exponent

Table Row (tr)

id	ret

Table Cell (td)

Returns

Div

class	sIndent

void

Table Row (tr)

id	sam

Table Cell (td)

Sample

Div

class	sIndent

Code Block

language	javascript

// (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));

{code}{div}{td}{tr}{tr:class=lastDetailRow}{td}{td}{tr}{tbody}{tbody:id=

Table Row (tr)

class	lastDetailRow

Table Cell (td)

Table Body (tbody)

id	findRoot-Number_Number_Number

}{

Table Row (tr)

:

id

=

	name

}{td}h6.findRoot{td}{tr}{tr:id=sig}{td}{span:style=

Table Cell (td)
findRoot

Table Row (tr)

id	sig

Table Cell (td)

Span

style	margin-right:

5px;

}[

Number

]{span}{span:style=

Span

style	font-weight:

bold;

}

findRoot

{span}{span}\

Span
(startValue,

error,

iterations)

{span}{td}{tr}{tr:id=prs}{td}*Parameters*\\{div:class=sIndent}\{[Number]} startValue \{[Number]} error \{[Number]} iterations {div}{td}{tr}{tr:id=ret}{td}*Returns*\\{div:class=sIndent}[Number]{div}{td}{tr}{tr:id=sam}{td}*Sample*\\{div:class=sIndent}{code:language=javascript}

Table Row (tr)

id	des

Table Cell (td)

Div

class	sIndent

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

Table Row (tr)

id	prs

Table Cell (td)

Parameters

Div

class	sIndent

{Number} startValue
{Number} error
{Number} iterations

Table Row (tr)

id	ret

Table Cell (td)

Returns

Div

class	sIndent

Number

Table Row (tr)

id	sam

Table Cell (td)

Sample

Div

class	sIndent

Code Block

language	javascript

// 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.");

{code}{div}{td}{tr}{tr:class=lastDetailRow}{td}{td}{tr}{tbody}{tbody:id=getDerivative}{tr:id=name}{td}h6.getDerivative{td}{tr}{tr:id=sig}{td}{span:style=margin-right: 5px;}[Polynomial]{span}{span:style=font-weight: bold;}getDerivative{span}{span}\(){span}{td}{tr}{tr:id=ret}{td}*Returns*\\{div:class=sIndent}[Polynomial]{div}{td}{tr}{tr:id=sam}{td}*Sample*\\{div:class=sIndent}{code:language=javascript}

Table Row (tr)

class	lastDetailRow

Table Cell (td)

Table Body (tbody)

id	getDerivative

Table Row (tr)

id	name

Table Cell (td)
getDerivative

Table Row (tr)

id	sig

Table Cell (td)

Span

style	margin-right: 5px;

Polynomial

Span

style	font-weight: bold;

getDerivative

Span
()

Table Row (tr)

id	des

Table Cell (td)

Div

class	sIndent

Returns a polynomial that holds the derivative of this polynomial.

Table Row (tr)

id	ret

Table Cell (td)

Returns

Div

class	sIndent

Polynomial

Table Row (tr)

id	sam

Table Cell (td)

Sample

Div

class	sIndent

Code Block

language	javascript

// 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.");

{code}{div}{td}{tr}{tr:class=lastDetailRow}{td}{td}{tr}{tbody}{tbody:id=getDerivativeValue-Number}{tr:id=name}{td}h6.getDerivativeValue{td}{tr}{tr:id=sig}{td}{span:style=margin-right: 5px;}[Number]{span}{span:style=font-weight: bold;}getDerivativeValue{span}{span}\(x){span}{td}{tr}{tr:id=prs}{td}*Parameters*\\{div:class=sIndent}\{[Number]} x {div}{td}{tr}{tr:id=ret}{td}*Returns*\\{div:class=sIndent}[Number]{div}{td}{tr}{tr:id=sam}{td}*Sample*\\{div:class=sIndent}{code:language=javascript}

Table Row (tr)

class	lastDetailRow

Table Cell (td)

Table Body (tbody)

id	getDerivativeValue-Number

Table Row (tr)

id	name

Table Cell (td)
getDerivativeValue

Table Row (tr)

id	sig

Table Cell (td)

Span

style	margin-right: 5px;

Number

Span

style	font-weight: bold;

getDerivativeValue

Span
(x)

Table Row (tr)

id	des

Table Cell (td)

Div

class	sIndent

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

Table Row (tr)

id	prs

Table Cell (td)

Parameters

Div

class	sIndent

{Number} x

Table Row (tr)

id	ret

Table Cell (td)

Returns

Div

class	sIndent

Number

Table Row (tr)

id	sam

Table Cell (td)

Sample

Div

class	sIndent

Code Block

language	javascript

// 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.");

{code}{div}{td}{tr}{tr:class=lastDetailRow}{td}{td}{tr}{tbody}{tbody:id=getValue-Number}{tr:id=name}{td}h6.getValue{td}{tr}{tr:id=sig}{td}{span:style=margin-right: 5px;}[Number]{span}{span:style=font-weight: bold;}getValue{span}{span}\(x){span}{td}{tr}{tr:id=prs}{td}*Parameters*\\{div:class=sIndent}\{[Number]} x {div}{td}{tr}{tr:id=ret}{td}*Returns*\\{div:class=sIndent}[Number]{div}{td}{tr}{tr:id=sam}{td}*Sample*\\{div:class=sIndent}{code:language=javascript}

Table Row (tr)

class	lastDetailRow

Table Cell (td)

Table Body (tbody)

id	getValue-Number

Table Row (tr)

id	name

Table Cell (td)
getValue

Table Row (tr)

id	sig

Table Cell (td)

Span

style	margin-right: 5px;

Number

Span

style	font-weight: bold;

getValue

Span
(x)

Table Row (tr)

id	des

Table Cell (td)

Div

class	sIndent

Returns the value of this polynomial in a certain point.

Table Row (tr)

id	prs

Table Cell (td)

Parameters

Div

class	sIndent

{Number} x

Table Row (tr)

id	ret

Table Cell (td)

Returns

Div

class	sIndent

Number

Table Row (tr)

id	sam

Table Cell (td)

Sample

Div

class	sIndent

Code Block

language	javascript

// 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.");

{code}{div}{td}{tr}{tr:class=lastDetailRow}{td}{td}{tr}{tbody}{tbody:id=multiplyByPolynomial-Polynomial}{tr:id=name}{td}h6.multiplyByPolynomial{td}{tr}{tr:id=sig}{td}{span:style=margin-right: 5px;}void{span}{span:style=font-weight: bold;}multiplyByPolynomial{span}{span}\(polynomial){span}{td}{tr}{tr:id=prs}{td}*Parameters*\\{div:class=sIndent}\{[Polynomial]} polynomial {div}{td}{tr}{tr:id=ret}{td}*Returns*\\{div:class=sIndent}void{div}{td}{tr}{tr:id=sam}{td}*Sample*\\{div:class=sIndent}{code:language=javascript}

Table Row (tr)

class	lastDetailRow

Table Cell (td)

Table Body (tbody)

id	multiplyByPolynomial-Polynomial

Table Row (tr)

id	name

Table Cell (td)
multiplyByPolynomial

Table Row (tr)

id	sig

Table Cell (td)

Span

style	margin-right: 5px;

void

Span

style	font-weight: bold;

multiplyByPolynomial

Span
(polynomial)

Table Row (tr)

id	des

Table Cell (td)

Div

class	sIndent

Multiplies this polynomial with another polynomial.

Table Row (tr)

id	prs

Table Cell (td)

Parameters

Div

class	sIndent

{Polynomial} polynomial

Table Row (tr)

id	ret

Table Cell (td)

Returns

Div

class	sIndent

void

Table Row (tr)

id	sam

Table Cell (td)

Sample

Div

class	sIndent

Code Block

language	javascript

// 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)); {code}{div}{td}{tr}{tr:class=lastDetailRow}{td}{td}{tr}{tbody}{tbody:id=

r2));

Table Row (tr)

class	lastDetailRow

Table Cell (td)

Table Body (tbody)

id	multiplyByTerm-Number_Number

}{

Table Row (tr)

:

id

=

	name

}{td}h6.multiplyByTerm{td}{tr}{tr:id=sig}{td}{span:style=

Table Cell (td)
multiplyByTerm

Table Row (tr)

id	sig

Table Cell (td)

Span

style	margin-right:

5px;

}

void

{span}{span:style=

Span

style	font-weight:

bold;

}

multiplyByTerm

{span}{span}\

Span
(coefficient,

exponent)

{span}{td}{tr}{tr:id=prs}{td}*Parameters*\\{div:class=sIndent}\{[Number]} coefficient \{[Number]} exponent {div}{td}{tr}{tr:id=ret}{td}*Returns*\\{div:class=sIndent}void{div}{td}{tr}{tr:id=sam}{td}*Sample*\\{div:class=sIndent}{code:language=javascript}

Table Row (tr)

id	des

Table Cell (td)

Div

class	sIndent

Multiples this polynomial with a term.

Table Row (tr)

id	prs

Table Cell (td)

Parameters

Div

class	sIndent

{Number} coefficient
{Number} exponent

Table Row (tr)

id	ret

Table Cell (td)

Returns

Div

class	sIndent

void

Table Row (tr)

id	sam

Table Cell (td)

Sample

Div

class	sIndent

Code Block

language	javascript

// (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));

{code}{div}{td}{tr}{tr:class=lastDetailRow}{td}{td}{tr}{tbody}{tbody:id=setToZero}{tr:id=name}{td}h6.setToZero{td}{tr}{tr:id=sig}{td}{span:style=margin-right: 5px;}void{span}{span:style=font-weight: bold;}setToZero{span}{span}\(){span}{td}{tr}{tr:id=ret}{td}*Returns*\\{div:class=sIndent}void{div}{td}{tr}{tr:id=sam}{td}*Sample*\\{div:class=sIndent}{code:language=javascript}

Table Row (tr)

class	lastDetailRow

Table Cell (td)

Table Body (tbody)

id	setToZero

Table Row (tr)

id	name

Table Cell (td)
setToZero

Table Row (tr)

id	sig

Table Cell (td)

Span

style	margin-right: 5px;

void

Span

style	font-weight: bold;

setToZero

Span
()

Table Row (tr)

id	des

Table Cell (td)

Div

class	sIndent

Sets this polynomial to zero.

Table Row (tr)

id	ret

Table Cell (td)

Returns

Div

class	sIndent

void

Table Row (tr)

id	sam

Table Cell (td)

Sample

Div

class	sIndent

Code Block

language	javascript

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

{code}{div}{td}{tr}{tr:class=lastDetailRow}{td}{td}{tr}{tbody}{table}

Table Row (tr)

class	lastDetailRow

Table Cell (td)

Child pages

Versions Compared

Old Version 18

New Version Current

Key

addPolynomial

addTerm

findRoot

getDerivative

getDerivativeValue

getValue

multiplyByPolynomial

multiplyByTerm

setToZero