(kill(all),0);
0$

map(f, '(if x < 1 then 5 else 2));
'(if f(x < 1) then f(5) else f(2))$

fullmap(f, '(if x < 1 then 5 else 2));
'(if f(x) < f(1) then f(5) else f(2))$

/* The user documentation says that matrixmap returns a matrix. So
matrixmap(f,[6]) --> [f(6)] is wrong. */

errcatch(matrixmap(f, [6]));
[]$

map('cos,[]);
[]$

map('cos, matrix());
matrix()$

map('exp, set());
set()$

map(f, set(a,b));
set(f(a),f(b))$

map(lambda([x],x^2), set(-1,1));
set(1)$

errcatch(map(f, false));
[]$

map(f[1], []);
[]$

map(f[q], [2]);
[f[q](2)]$

map(f[5],[1,2,inf]);
[f[5](1), f[5](2), f[5](inf)]$

errcatch(map(f, 1.5b0));
[]$

map('cos, [0]);
[1]$

map(lambda([x], x^2), []);
[]$

map(f, [[]]);
[f([])]$

map(f, [false]);
[f(false)]$

map(f, [[false]]);
[f([false])]$

map(f, [2,[2]]);
[f(2), f([2])]$

map(f,[a],[b],[c]);
[f(a,b,c)]$

map(f,[a],[b],[c,b]), maperror : false;
[f(a,b,c)]$

map(lambda([a,b], is(a < b)), [],[]);
[]$

map(lambda([a,b], is(a < b)), [1],[2]);
[true]$

map(lambda([a,b], is(a < b)), [x],[x+1]);
[true]$

errcatch(map(lambda([a,b], is(a < b)), [x],[x+1],[x+2]));
[]$

map("=",[a,b],[1,2]);
[a=1,b=2]$

map("#",[a,b],[1,2]);
[a # 1,b # 2]$

map(f,-x);
-f(x)$

map(f,a+b);
f(a) + f(b)$

map(f,a-b);
f(a) + f(-b)$

map(f, rat(a+b));
f(a) + f(b)$

map(f, a+b*c);
f(a) + f(b*c)$

map(f, a^b);
f(a)^f(b)$

map(f, a^(b^c));
f(a)^f(b^c)$

map(f,a*b*c);
f(a) * f(b) * f(c)$

map(f, a/b);
f(a) / f(b)$

map(f, dpart(a*b*c,1));
''(dpart(f(a) * f(b) * f(c),1,1))$

errcatch(map(f,1));
[]$

map(f,[[[x]]]);
[f([[x]])]$

map(log, x < y);
log(x) < log(y)$

map(f, cfdisrep([1,2,3,4]));
f(1) + f(''(cfdisrep([0,2,3,4])))$

map('append, [[v]],[[t]]);
[[v,t]]$

map('first,[[u,1],[n,2],[k,3]]);
[u,n,k]$

map(f, a.b);
f(a) . f(b)$

map(f, a^^b);
f(a)^^f(b)$

map(j, j());
j()$

map(q,j());
j()$

map(q,j(m));
j(q(m))$

map(q,j(m()))$
j(q(m()))$

map(t,q(%pi));
q(t(%pi))$

fullmap('cos,[]);
[]$

fullmap('cos, matrix());
matrix()$

fullmap('exp, set());
set()$

fullmap(f, set(a,b));
set(f(a),f(b))$

fullmap(lambda([x],x^2), set(-1,1));
set(1)$

fullmap(f[1], []);
[]$

fullmap(f[q], [2]);
[f[q](2)]$

fullmap(f[5],[1,2,inf]);
[f[5](1), f[5](2), f[5](inf)]$

errcatch(fullmap(f, 1.5b0));
[]$

fullmap('cos, [0]);
[1]$

fullmap(lambda([x], x^2), []);
[]$

fullmap(f, [[]]);
[[]]$

fullmap(f, [false]);
[f(false)]$

fullmap(f, [[false]]);
[[f(false)]]$

fullmap(f, [2,[2]]);
[f(2), [f(2)]]$

fullmap(f,[a],[b],[c]);
[f(a,b,c)]$

fullmap(f,[a],[b],[c,b]), maperror : false;
[f(a,b,c)]$

fullmap(lambda([a,b], is(a < b)), [],[]);
[]$

fullmap(lambda([a,b], is(a < b)), [1],[2]);
[true]$

fullmap(lambda([a,b], is(a < b)), [x],[x+1]);
[true]$

errcatch(fullmap(lambda([a,b], is(a < b)), [x],[x+1],[x+2]));
[]$

fullmap("=",[a,b],[1,2]);
[a=1,b=2]$

fullmap("#",[a,b],[1,2]);
[a # 1,b # 2]$

fullmap(f,-x);
-f(x)$

fullmap(f,a+b);
f(a) + f(b)$

fullmap(f,a-b), inflag : true$
f(a) + f(-1) * f(b)$

fullmap(f,a-b), inflag : false$
f(a) - f(b)$

fullmap(f, rat(a+b));
f(a) + f(b)$

fullmap(f, a+b*c);
f(a) + f(b)*f(c)$

fullmap(f, a^b);
f(a)^f(b)$

fullmap(f, a^(b^c));
f(a)^(f(b)^f(c))$

fullmap(f,a*b*c);
f(a) * f(b) * f(c)$

fullmap(f, a/b);
f(a) / f(b)$

fullmap(f, dpart(a*b*c,1));
''(dpart(f(a) * f(b) * f(c),1))$

errcatch(fullmap(f,1));
[]$

fullmap(f,[[[x]]]);
[[[f(x)]]]$

fullmap(log, x < y);
log(x) < log(y)$

fullmap(f, a.b);
f(a) . f(b)$

fullmap(f,a.b + b . a);
f(a) . f(b) + f(b) . f(a)$

fullmap(f, a^^b);
f(a)^^f(b)$

fullmap(f, a. (b .c ));
f(a) . (f(b) . f(c))$

fullmap(f, a^^(b^^c));
f(a)^^(f(b)^^f(c))$

matrixmap(f,matrix());
matrix()$

matrixmap(f, matrix([]));
matrix([])$

matrixmap(f, matrix([],[]));
matrix([],[])$

matrixmap(f, matrix([5]));
matrix([f(5)])$

matrixmap('cosh, matrix([a,b],[c,d]));
matrix([cosh(a), cosh(b)],[cosh(c), cosh(d)])$

matrixmap(lambda([x], x * ident(2)), matrix([1,2],[3,4]));
matrix([matrix([1,0],[0,1]),matrix([2,0],[0,2])],[matrix([3,0],[0,3]),matrix([4,0],[0,4])])$