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(L : [exp(-a/p),v,1/gamma(v+1)],0);
0$
is(equal(sort(L) , sort(reverse(L))));
true$
(declare(z,complex),domain : complex,0);
0$
/* #4383 great not transitive (so simplifya not idempotent) */
exp(z) + sqrt(exp(z)) + exp(z);
2*exp(z) + sqrt(exp(z))$
is(orderlessp(exp(z),sqrt(exp(z))) # orderlessp(sqrt(exp(z)),exp(z)));
true$
is((a^(b*d))^f(c)/(b*f(c)) = expand((a^(b*d))^f(c)/(b*f(c)),0,0));
true$
(bad: '[
[f(b),a^(b*c),b],
[a^(b*c),b,f(b)],
[b,f(b),a^(b*c)]
],0);
0$
block([ok : true],
for i in bad do (
ok : ok and sort(i) = sort(reverse(i))),
ok);
true$
/* #365 orderlessp not transitive */
(l: [z+x*(x+2)+v+1,z+x^2+x+v+1,z+(x+1)^2+v],0);
0$
orderlessp(l[1],l[2]);
true$
orderlessp(l[2],l[3]);
true$
orderlessp(l[1],l[3]);
true$
(remvalue(l),0);
0$
(LL : sort([-(1/c^%pi),-(1/(1/c)^%pi),b*c]),0);
0$
orderlessp(first(LL), second(LL));
true$
orderlessp(second(LL), third(LL));
true$
orderlessp(first(LL), third(LL));
true$
(remvalue(LL),0);
0$
/* #3072 orderlessp/great not transitive (2) */
cardinality(map('sort, permutations([A(w*(x-1)), x, A(x-1)])));
1$
/* #4484 more 'great' bugs */
block([domain : 'complex], cardinality(map(sort, permutations([a[1],a,exp(a[1])]))));
1$
block([domain : 'real], cardinality(map(sort, permutations([%e^(a . b),a^^7,a*b]))));
1$
(L : [%e^(a . b),a^^7,a*b],0);
0$
block([ans1,ans2,ans3],
ans1 : xreduce("+",L),
ans2 : expand(ans1,0,0),
ans3 : expand(ans2,0,0),
[ans1,ans2,ans3]);
[a*b+a^^7+%e^(a . b),a*b+a^^7+%e^(a . b),a*b+a^^7+%e^(a . b)]$
/* \#3183 %i * 3^%i/2^%i; does not consistently simplify*/
block([e0 : ((0.23665921047828*%i+0.7345467111924259)*(0.4980156681183566*%i-0.15494982830181)*1.5^%i*cosh(%pi))
/2^%i, e1,e2],
e1 : expand(e0,0,0),
e2 : expand(e1,0,0),
outermap(lambda([a,b], is(a=b)),[e0,e1,e2],[e0,e1,e2]));
[[true, true, true], [true, true, true], [true, true, true]]$
block([e0 : %i * 3^%i/2^%i, e1, e2, e3],
e1 : 1*e0,
e2 : 1*e1,
e3 : 1*e2,
outermap(lambda([a,b], is(a=b)),[e0,e1,e2,e3],[e0,e1,e2,e3]));
[[true, true, true, true], [true, true, true, true], [true, true, true, true], [true, true, true, true]]$
block([EY,ans], declare(K,constant),
EY: 1/2^K+K+3^K,
ans : [EY-EY,(-EY) - (-EY)],
remove(K,constant),
ans);
[0,0]$
block([a,b,c,d,M,L,ans],
[a, b, c, d] : [3, M, M^3, 3^M],
L : powerset ({a, b, c, d}, 2),
declare (M, constant),
ans : maplist (lambda ([p], ?great (first(p), second(p))), L),
remove(M,constant),
ans);
[false, false, false, false, false, false]$
/* Did we make a mess? Let's clean it up!*/
(remvalue(L),remvalue(bad),remove(z,complex), reset(domain), 0);
0$
values;
[]$
facts();
[]$
contexts;
[initial, global]$
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