Display a linear combination
sub linear-combination(@coeff) {
(@coeff Z=> map { "e($_)" }, 1 .. *)
.grep(+*.key)
.map({ .key ~ '*' ~ .value })
.join(' + ')
.subst('+ -', '- ', :g)
.subst(/<|w>1\*/, '', :g)
|| '0'
}
say linear-combination($_) for
[1, 2, 3],
[0, 1, 2, 3],
[1, 0, 3, 4],
[1, 2, 0],
[0, 0, 0],
[0],
[1, 1, 1],
[-1, -1, -1],
[-1, -2, 0, -3],
[-1 ]
;
Output:
e(1) + 2*e(2) + 3*e(3)
e(2) + 2*e(3) + 3*e(4)
e(1) + 3*e(3) + 4*e(4)
e(1) + 2*e(2)
0
0
e(1) + e(2) + e(3)
-e(1) - e(2) - e(3)
-e(1) - 2*e(2) - 3*e(4)
-e(1)