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D.4.31.1 realpoly
Procedure from library realrad.lib (see realrad_lib).
- Usage:
- realpoly(f); a univariate polynomial f;
- Return:
- poly f, where f is the real part of the input f
Example:
| | LIB "realrad.lib";
ring r1 = 0,x,dp;
poly f=x5+16x2+x+1;
realpoly(f);
==> x5+16x2+x+1
realpoly(f*(x4+2));
==> x5+16x2+x+1
ring r2=0,(x,y),dp;
poly f=x6-3x4y2 + y6 + x2y2 -6y+5;
realpoly(f);
==> x6-3x4y2+y6+x2y2-6y+5
ring r3=0,(x,y,z),dp;
poly f=x4y4-2x5y3z2+x6y2z4+2x2y3z-4x3y2z3+2x4yz5+z2y2-2z4yx+z6x2;
realpoly(f);
==> x3yz2-x2y2+xz3-yz
realpoly(f*(x2+y2+1));
==> x3yz2-x2y2+xz3-yz
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