#### D.15.15.3 frandwalk

Procedure from library `rwalk.lib` (see rwalk_lib).

Syntax:
  frwalk(ideal i, int radius);
  frwalk(ideal i, int radius, intvec v, intvec w);

Type:
  ideal

Purpose:
  compute the standard basis of the ideal w.r.t. the
  lexicographical ordering or a weighted-lex ordering, calculated via the Random Fractal walk algorithm.

Example:

    LIB "rwalk.lib";
    ring r = 0,(z,y,x), lp;
    ideal I = y3+xyz+y2z+xz3, 3+xy+x2y+y2z;
    int reduction = 0;
    frandwalk(I,2);
    ==> _[1]=y9-y7x2-y7x-y6x3-y6x2-3y6-3y5x-y3x7-3y3x6-3y3x5-y3x4-9y2x5-18y2x4-9y\
       2x3-27yx3-27yx2-27x
    ==> _[2]=zx-2/27y8x2-2/27y8x+1/9y7+2/27y6x4+4/27y6x3+2/27y6x2+2/27y5x5+4/27y5\
       x4+2/27y5x3+1/9y5x2+1/9y5x+1/9y4x3+1/9y4x2-1/3y4-1/3y3x+2/27y2x9+8/27y2x8\
       +4/9y2x7+8/27y2x6+2/27y2x5+5/9yx7+5/3yx6+5/3yx5+5/9yx4+x5+2x4+x3
    ==> _[3]=zy2+yx2+yx+3

See also: awalk1; awalk2; groebner; gwalk; pwalk; std; stdfglm; twalk.

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