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4.4.4 intmat operations

+

addition with intmat or int; the int is converted into a diagonal intmat

-

negation or subtraction with intmat or int; the int is converted into a diagonal intmat

*

multiplication with intmat, intvec, or int; the int is converted into a diagonal intmat

div,/

division of entries in the integers (omitting the remainder)

%, mod

entries modulo int (remainder of the division)

<>, ==

comparison

intmat_expression [ intvec_expression, intvec_expression ]

is an intmat entry, where the first index indicates the row and the second the column


Example:

 
  intmat m[2][4] = 1,0,2,4,0,1,-1,0,3,2,1,-2;
  m;
→ 1,0,2,4,
→ 0,1,-1,0 
  m[2,3];          // entry at row 2, col 3
→ -1
  size(m);         // number of entries
→ 8
  intvec v = 1,0,-1,2;
  m * v;
→ 7,1
  typeof(_);
→ intvec
  intmat m1[4][3] = 0,1,2,3,v,1;
  intmat m2 = m * m1;
  m2;             //  2 x 3 intmat
→ -2,5,4,
→ 4,-1,-1 
  m2*10;           // multiply each entry of m with 10;
→ -20,50,40,
→ 40,-10,-10 
  -m2;
→ 2,-5,-4,
→ -4,1,1 
  m2 % 2;
→ 0,1,0,
→ 0,1,1 
  m2 div 2;
→ -1,2,2,
→ 2,-1,-1 
  m2[2,1];          // entry at row 2, col 1
→ 4
  m1[2..3,2..3];   // submatrix
→ 1 0 2 1
  m2[nrows(m2),ncols(m2)];      // the last entry of intmat m2
→ -1

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