5.1.144 size

Syntax:

size ( string_expression )
size ( bigint_expression )
size ( number_expression )
size ( intvec_expression )
size ( bigintvec_expression )
size ( intmat_expression )
size ( poly_expression )
size ( vector_expression )
size ( ideal_expression )
size ( module_expression )
size ( matrix_expression )
size ( bigintmat_expression )
size ( list_expression )
size ( resolution_expression )
size ( ring_expression )

Type:

int

Purpose:

depends on the type of argument:

ideal or module

returns the number of (non-zero) generators.

string, intvec, bigintvec, list or resolution

returns the length, i.e., the number of characters, entries or elements.

poly or vector

returns the number of monomials.

matrix, bigintmat or intmat

returns the number of entries (rows*columns).

ring

returns the number of elements in the ground field (for Z/p and algebraic extensions) or -1

number or bigint

returns 0 for 0 or the number of words

Example:

string s="hello"; size(s); ==> 5 intvec iv=1,2; size(iv); ==> 2 ring r=0,(x,y,z),lp; poly f=x+y+z; size(f); ==> 3 vector v=[x+y,0,0,1]; size(v); ==> 3 ideal i=f,y; size(i); ==> 2 module m=v,[0,1],[0,0,1],2*v; size(m); ==> 4 matrix mm[2][2]; size(mm); ==> 4 ring r1=(2,a),x,dp; minpoly=a4+a+1; size(r1); ==> 16