4.18.2 vector expressions

A vector expression is:

1. an identifier of type vector
2. a function returning vector
3. a poly expression (via the canonical embedding p → p*gen(1))
4. vector expressions combined by the arithmetic operations + or -
5. a poly expression and a vector expression combined by the arithmetic operation *
6. a type cast to vector using the brackets [ , ]

Example:

  // ordering gives priority to components:
  ring rr=0,(x,y,z),(c,dp);
  vector v=[x2+y3,2,0,x*y]+gen(6)*x6;
  v;
→ [y3+x2,2,0,xy,0,x6]
  vector w=[z3-x,3y];
  v-w;
→ [y3-z3+x2+x,-3y+2,0,xy,0,x6]
  v*(z+x);
→ [xy3+y3z+x3+x2z,2x+2z,0,x2y+xyz,0,x7+x6z]

See Type conversion and casting; ring.