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if ?get ('amatrix, 'present) = false then load (amatrix) else 'already_loaded;
"... Hilbert matrix ..."$
foo : make_matrix (7, 5)$
for i thru foo@nr do for j thru foo@nc do foo [i, j] : 1/(i + j - 1);
foo;
"... Integer subscripts ..."$
foo [1, 1];
foo [1, 1] : 42;
foo;
"... 'all subscripts ..."$
foo [all, 1];
foo [1, all];
foo [all, all];
bar : foo [all, 1];
mumble : foo [1, all];
"... Collective assignment ..."$
foo [all, 2] : %pi;
foo;
foo [all, 5] : foo [all, 1];
foo;
"... Implicit subscript=1 when #rows=1 or #columns=1 ..."$
bar;
bar [1];
bar [all];
"... Copy-on-write policy ..."$
bar [1];
bar [1] : 1729;
bar;
mumble;
"... List of integers subscripts ..."$
foo [[1, 5, 3], 1];
foo [all, [5, 4, 3]];
foo [[5, 6, 7], [2, 5]];
"... amatrix of Boolean values subscripts ..."$
baz : amatrixmap (lambda ([x], is (x > 3/10)), bar);
quux : amatrixmap (lambda ([x], is (x < 1/4)), bar);
blurf : amatrixmap (lambda ([x], is (x < 1/2)), mumble);
snort : amatrixmap (lambda ([x], is (x >= 1/3)), mumble);
foo [baz, 4];
foo [6, blurf];
foo [baz, all];
foo [all, blurf];
foo [baz, [1, 5]];
foo [[2, 3, 6], blurf];
foo [baz, blurf];
"... Relational expressions subscripts ..."$
bar;
bar [bar > 2/3];
foo [bar >= 1/4, 4];
foo [6, 3/4 >= mumble];
foo [bar > 1/2, all];
foo [all, mumble < 1/2];
foo [bar # 1/2, [5, 2]];
foo [[4, 3, 2], mumble < 3/7];
foo [bar <= 7/8, blurf];
foo [baz, mumble > 1/8];
foo [bar > 2/7, 8/9 >= mumble];
"... Boolean expressions subscripts ..."$
foo [not baz, 3];
foo [7, blurf and snort];
foo [baz and not quux, all];
foo [all, not blurf or snort];
foo [baz or quux, [1, 2, 4]];
foo [[3, 2, 5], not blurf and snort];
foo [quux and baz, snort];
foo [quux, not blurf];
foo [not quux and not baz, mumble < 0.95];
foo [bar > 0.15, not blurf or not snort];
foo [quux or baz, blurf or not snort];
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