# CoCoA:HowTo:Round Coefficients

## About

CoCoA computes polynomials either Q or in Z/(p). In case you have polynomials in Q and you do some computations with them, after some time their coefficients probably look quite ugly (ToDo: Add Example). To get a feeling for the coefficients, it may be quite handy to get a rounded value instead of these loooong fractions. Their is no code inside CoCoA to do this automatically, but you can do it quite easy, using CoCoA's FloatApprox or FloatStr functions.

## First version: Converting to string

P := x^2 + 11/10 y + 1/3 z; S := Sum(Flatten([ ['( ',FloatStr(LC(M)),'*',Sprint(LT(M)),') +'] | M In Monomials(P)])); S;

code by dheldt, 23 Jun 2005 (CEST)

## Second version: Only rounding coefficients

P := x^2 + 11/10 y + 1/3 z; S := Sum([ FloatApprox(LC(M),1/10^3)LT(M) | M In Monomials(P)]); S;

code by dheldt, 23 Jun 2005 (CEST)

## Third version: Using DecimalStr()

```
Define PolyStr(Poly,MultSymb)
```

T := Sum(Flatten(
[[SignStr(LC(M))," " ,DecimalStr(Abs(LC(M))),MultSymb ,Sprint(LT(M)), " "] |
M In Monomials(Poly)]));
If (T[1] IsIn "+")=True Then
T := Sum([T[I] | I In 2..Len(T)]);
EndIf;
Return T;

```
EndDefine;
```

Code by Matthias Machnik, 26 April 2008

## Examples

Output First Version:

( 1.000000000*10^0*x^2) +( 1.100000000*10^0*y) +( 3.333333333*10^(-1)*z) +

Output Second Version:

x^2 + 11/10y + 3333/10000z

Calling Third Version with: PolyStr(P,Ascii(183));

1·x^2 + 1.1·y + 0.333·z