| Method Summary | |
|---|---|
| void | #addPolynomial(polynomial) Adds another polynomial to this polynomial. |
| void | #addTerm(coefficient, exponent) Adds a term to this polynomial. |
| Number | #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. |
| Polynomial | #getDerivative() Returns a polynomial that holds the derivative of this polynomial. |
| Number | #getDerivativeValue(x) Returns the value of the derivative of this polynomial in a certain point. |
| Number | #getValue(x) Returns the value of this polynomial in a certain point. |
| void | #multiplyByPolynomial(polynomial) Multiplies this polynomial with another polynomial. |
| void | #multiplyByTerm(coefficient, exponent) Multiples this polynomial with a term. |
| void | #setToZero() Sets this polynomial to zero. |
| Method Details |
|---|
addPolynomial |
void addPolynomial (polynomial) |
| Adds another polynomial to this polynomial. |
| Parameters polynomial |
| Returns void |
Sample
// (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));
|
addTerm |
void addTerm (coefficient, exponent) |
| Adds a term to this polynomial. |
| Parameters coefficient exponent |
| Returns void |
Sample
// 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.");
|
findRoot |
Number 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. |
| Parameters startValue error iterations |
| Returns Number |
Sample
// 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.");
|
getDerivative |
Polynomial getDerivative () |
| Returns a polynomial that holds the derivative of this polynomial. |
| Returns Polynomial |
Sample
// 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.");
|
getDerivativeValue |
Number getDerivativeValue (x) |
| Returns the value of the derivative of this polynomial in a certain point. |
| Parameters x |
| Returns Number |
Sample
// 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.");
|
getValue |
Number getValue (x) |
| Returns the value of this polynomial in a certain point. |
| Parameters x |
| Returns Number |
Sample
// 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.");
|
multiplyByPolynomial |
void multiplyByPolynomial (polynomial) |
| Multiplies this polynomial with another polynomial. |
| Parameters polynomial |
| Returns void |
Sample
// 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));
|
multiplyByTerm |
void multiplyByTerm (coefficient, exponent) |
| Multiples this polynomial with a term. |
| Parameters coefficient exponent |
| Returns void |
Sample
// (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));
|
setToZero |
void setToZero () |
| Sets this polynomial to zero. |
| Returns void |
Samplevar 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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