BigIntegerPoly

java.lang.Object
- etomica.veos.bigdecimal.BigIntegerPoly

All Implemented Interfaces:

java.lang.Cloneable
```
public class BigIntegerPoly
extends java.lang.Object
implements java.lang.Cloneable
```
Polynomial with integer coefficients. Alternatively to be interpreted as a sequence which has the polynomial as an (approximate) generating function.

Since:

2010-08-27

Constructor Summary

Constructors
Constructor	Description
`BigIntegerPoly()`	Default ctor.
`BigIntegerPoly(java.lang.String L)`	Ctor with a comma-separated list as the list of coefficients.
`BigIntegerPoly(java.math.BigInteger[] c)`	Ctor with a list of coefficients.
`BigIntegerPoly(java.util.Vector<java.math.BigInteger> c)`	Ctor with a list of coefficients.

Method Summary

All Methods Instance Methods Concrete Methods
Modifier and Type	Method	Description
`BigIntegerPoly`	`add(BigIntegerPoly val)`	Add another polynomial
`java.math.BigInteger`	`at(int n)`	Retrieve a polynomial coefficient.
`BigIntegerPoly`	`binomialTInv(int maxdeg)`	Inverse Binomial transform.
`BigIntegerPoly`	`clone()`	Create a copy of this.
`int`	`degree()`	Polynomial degree.
`BigIntegerPoly`	`derive()`	First derivative.
`BigIntegerPoly[]`	`divideAndRemainder(BigIntegerPoly val)`	Divide by another polynomial.
`protected java.util.Vector<BigIntegerPoly>`	`i2roots()`	Generate the factors which are 2nd degree polynomials.
`java.util.Vector<BigIntegerPoly>`	`ifactor()`	Factorization into integer polynomials.
`java.util.Vector<java.math.BigInteger>`	`iroots()`	Generate the integer roots of the polynomial.
`boolean`	`isZero()`	Test whether this polynomial value is zero.
`int`	`ldegree()`	Polynomial lower degree.
`BigIntegerPoly`	`multiply(BigIntegerPoly val)`	Multiply by another polynomial
`BigIntegerPoly`	`multiply(java.math.BigInteger val)`	Multiply by a constant factor.
`BigIntegerPoly`	`pow(int n)`	Raise to a positive power.
`int`	`rootDeg(java.math.BigInteger r)`	Compute the order of the root r.
`void`	`set(int n, int value)`	Set a polynomial coefficient.
`void`	`set(int n, java.math.BigInteger value)`	Set a polynomial coefficient.
`protected void`	`simplify()`	Simplify the representation.
`int`	`size()`	Count of coefficients.
`BigIntegerPoly`	`subtract(BigIntegerPoly val)`	Subtract another polynomial
`java.lang.String`	`toPString()`	Print as a polyomial in x.
`etomica.veos.bigdecimal.RatPoly`	`toRatPoly()`	Translate into a RatPoly copy.
`java.lang.String`	`toString()`	Print as a comma-separated list of coefficients.
`BigIntegerPoly`	`trunc(int newdeg)`	Truncate polynomial degree.
`java.math.BigInteger`	`valueOf(int x)`	Horner scheme to find the function value at the argument x
`java.math.BigInteger`	`valueOf(java.math.BigInteger x)`	Evaluate at some integer argument.

Methods inherited from class java.lang.Object
equals, finalize, getClass, hashCode, notify, notifyAll, wait, wait, wait

- Constructor Detail
  - BigIntegerPoly
```
public BigIntegerPoly()
```
    Default ctor. Creates the polynomial p(x)=0.
  - BigIntegerPoly
```
public BigIntegerPoly(java.lang.String L)
               throws java.lang.NumberFormatException
```
    Ctor with a comma-separated list as the list of coefficients.
    
    Parameters:
    
    L - the string of the form a0,a1,a2,a3 with the coefficients
    
    Throws:
    
    java.lang.NumberFormatException
  - BigIntegerPoly
```
public BigIntegerPoly(java.util.Vector<java.math.BigInteger> c)
```
    Ctor with a list of coefficients.
    
    Parameters:
    
    c - The coefficients a0, a1, a2 etc in a0+a1*x+a2*x^2+...
  - BigIntegerPoly
```
public BigIntegerPoly(java.math.BigInteger[] c)
```
    Ctor with a list of coefficients.
    
    Parameters:
    
    c - The coefficients a0, a1, a2 etc in a0+a1*x+a2*x^2+...
- Method Detail
  - clone
```
public BigIntegerPoly clone()
```
    Create a copy of this.
    
    Overrides:
    
    clone in class java.lang.Object
    
    Since:
    
    2010-08-27
  - toRatPoly
```
public etomica.veos.bigdecimal.RatPoly toRatPoly()
```
    Translate into a RatPoly copy.
    
    Since:
    
    2012-03-02
  - at
```
public java.math.BigInteger at(int n)
```
    Retrieve a polynomial coefficient.
    
    Parameters:
    
    n - the zero-based index of the coefficient. n=0 for the constant term.
    
    Returns:
    
    the polynomial coefficient in front of x^n.
  - valueOf
```
public java.math.BigInteger valueOf(java.math.BigInteger x)
```
    Evaluate at some integer argument.
    
    Parameters:
    
    x - The abscissa point of the evaluation
    
    Returns:
    
    The polynomial value.
    
    Since:
    
    2010-08-27
  - valueOf
```
public java.math.BigInteger valueOf(int x)
```
    Horner scheme to find the function value at the argument x
    
    Parameters:
    
    x - The argument x.
    
    Returns:
    
    Value of the polynomial at x.
    
    Since:
    
    2008-11-13
  - set
```
public void set(int n,
                java.math.BigInteger value)
```
    Set a polynomial coefficient.
    
    Parameters:
    
    n - the zero-based index of the coefficient. n=0 for the constant term. If the polynomial has not yet the degree to need this coefficient, the intermediate coefficients are set to zero.
    
    value - the new value of the coefficient.
  - set
```
public void set(int n,
                int value)
```
    Set a polynomial coefficient.
    
    Parameters:
    
    n - the zero-based index of the coefficient. n=0 for the constant term. If the polynomial has not yet the degree to need this coefficient, the intermediate coefficients are implicitly set to zero.
    
    value - the new value of the coefficient.
  - size
```
public int size()
```
    Count of coefficients.
    
    Returns:
    
    the number of polynomial coefficients. Differs from the polynomial degree by one.
  - degree
```
public int degree()
```
    Polynomial degree.
    
    Returns:
    
    the polynomial degree.
  - ldegree
```
public int ldegree()
```
    Polynomial lower degree.
    
    Returns:
    
    power of the smallest non-zero coefficient. If the polynomial is identical to 0, 0 is returned.
  - multiply
```
public BigIntegerPoly multiply(java.math.BigInteger val)
```
    Multiply by a constant factor.
    
    Parameters:
    
    val - the factor
    
    Returns:
    
    the product of this with the factor. All coefficients of this have been multiplied individually by the factor.
    
    Since:
    
    2010-08-27
  - multiply
```
public BigIntegerPoly multiply(BigIntegerPoly val)
```
    Multiply by another polynomial
    
    Parameters:
    
    val - the other polynomial
    
    Returns:
    
    the product of this with the other polynomial
  - pow
```
public BigIntegerPoly pow(int n)
                   throws java.lang.ArithmeticException
```
    Raise to a positive power.
    
    Parameters:
    
    n - the exponent of the power
    
    Returns:
    
    the n-th power of this.
    
    Throws:
    
    java.lang.ArithmeticException
  - add
```
public BigIntegerPoly add(BigIntegerPoly val)
```
    Add another polynomial
    
    Parameters:
    
    val - the other polynomial
    
    Returns:
    
    the sum of this with the other polynomial
    
    Since:
    
    2010-08-27
  - subtract
```
public BigIntegerPoly subtract(BigIntegerPoly val)
```
    Subtract another polynomial
    
    Parameters:
    
    val - the other polynomial
    
    Returns:
    
    the difference between this and the other polynomial
    
    Since:
    
    2008-10-25
  - divideAndRemainder
```
public BigIntegerPoly[] divideAndRemainder(BigIntegerPoly val)
```
    Divide by another polynomial.
    
    Parameters:
    
    val - the other polynomial
    
    Returns:
    
    A vector with [0] containg the polynomial of degree which is the difference of the degree of this and the degree of val. [1] the remainder polynomial. This = returnvalue[0] + returnvalue[1]/val .
    
    Since:
    
    2012-03-01
  - toString
```
public java.lang.String toString()
```
    Print as a comma-separated list of coefficients.
    
    Overrides:
    
    toString in class java.lang.Object
    
    Returns:
    
    the representation a0,a1,a2,a3,...
    
    Since:
    
    2010-08-27
  - toPString
```
public java.lang.String toPString()
```
    Print as a polyomial in x.
    
    Returns:
    
    The representation a0+a1*x+a2*x^2+... The terms with zero coefficients are not mentioned.
    
    Since:
    
    2008-10-26
  - simplify
```
protected void simplify()
```
    Simplify the representation. Trailing values with zero coefficients (at high powers) are deleted.
  - derive
```
public BigIntegerPoly derive()
```
    First derivative.
    
    Returns:
    
    The first derivative with respect to the indeterminate variable.
    
    Since:
    
    2008-10-26
  - trunc
```
public BigIntegerPoly trunc(int newdeg)
```
    Truncate polynomial degree.
    
    Returns:
    
    The polynomial with all coefficients beyond deg set to zero.
    
    Since:
    
    2010-08-27
  - binomialTInv
```
public BigIntegerPoly binomialTInv(int maxdeg)
```
    Inverse Binomial transform.
    
    Parameters:
    
    maxdeg - the maximum polynomial degree of the result
    
    Returns:
    
    the sequence of coefficients is the inverse binomial transform of the original sequence.
    
    Since:
    
    2010-08-29
  - rootDeg
```
public int rootDeg(java.math.BigInteger r)
```
    Compute the order of the root r.
    
    Returns:
    
    1 for simple roots, 2 for order 2 etc., 0 if not a root
    
    Since:
    
    2010-08-27
  - iroots
```
public java.util.Vector<java.math.BigInteger> iroots()
```
    Generate the integer roots of the polynomial.
    
    Returns:
    
    The vector of integer roots, without their multiplicity.
    
    Since:
    
    2010-08-27
  - i2roots
```
protected java.util.Vector<BigIntegerPoly> i2roots()
```
    Generate the factors which are 2nd degree polynomials.
    
    Returns:
    
    A (potentially empty) vector of factors, without multiplicity. Only factors with non-zero absolute coefficient are generated. This means the factors are of the form x^2+a*x+b=0 with nonzero b.
    
    Since:
    
    2012-03-01
  - isZero
```
public boolean isZero()
```
    Test whether this polynomial value is zero.
    
    Returns:
    
    If this is a polynomial p(x)=0 for all x.
  - ifactor
```
public java.util.Vector<BigIntegerPoly> ifactor()
```
    Factorization into integer polynomials. The current factorization detects only factors which are polynomials of order up to 2.
    
    Returns:
    
    The vector of factors. Factors with higher multiplicity are represented by repetition.
    
    Since:
    
    2012-03-01

Class BigIntegerPoly

Constructor Summary

Method Summary

Methods inherited from class java.lang.Object

Constructor Detail

BigIntegerPoly

BigIntegerPoly

BigIntegerPoly

BigIntegerPoly

Method Detail

clone

toRatPoly

at

valueOf

valueOf

set

set

size

degree

ldegree

multiply

multiply

pow

add

subtract

divideAndRemainder

toString

toPString

simplify

derive

trunc

binomialTInv

rootDeg

iroots

i2roots

isZero

ifactor