diff options
Diffstat (limited to 'test/unit/util/cardinality_public.h')
-rw-r--r-- | test/unit/util/cardinality_public.h | 313 |
1 files changed, 161 insertions, 152 deletions
diff --git a/test/unit/util/cardinality_public.h b/test/unit/util/cardinality_public.h index 5927e1bfa..02c80441c 100644 --- a/test/unit/util/cardinality_public.h +++ b/test/unit/util/cardinality_public.h @@ -47,58 +47,58 @@ public: Cardinality r(Cardinality::REALS); Cardinality i(Cardinality::INTEGERS); - TS_ASSERT( zero < one ); - TS_ASSERT( one < two ); - TS_ASSERT( two < invalid ); - TS_ASSERT( invalid < big ); - TS_ASSERT( big < i ); - TS_ASSERT( i < r ); - - TS_ASSERT( zero <= one ); - TS_ASSERT( zero <= zero ); - TS_ASSERT( one <= two ); - TS_ASSERT( one <= one ); - TS_ASSERT( two <= invalid ); - TS_ASSERT( two <= two ); - TS_ASSERT( invalid <= big ); - TS_ASSERT( invalid <= invalid ); - TS_ASSERT( big <= i ); - TS_ASSERT( big <= big ); - TS_ASSERT( i <= r ); - TS_ASSERT( i <= i ); - TS_ASSERT( r <= r ); - - TS_ASSERT( zero == zero ); - TS_ASSERT( one == one ); - TS_ASSERT( two == two ); - TS_ASSERT( invalid == invalid ); - TS_ASSERT( copy == copy ); - TS_ASSERT( copy == one ); - TS_ASSERT( one == copy ); - TS_ASSERT( big == big ); - TS_ASSERT( i == i ); - TS_ASSERT( r == r ); - - TS_ASSERT( zero != one ); - TS_ASSERT( one != two ); - TS_ASSERT( two != invalid ); - TS_ASSERT( copy != r ); - TS_ASSERT( copy != i ); - TS_ASSERT( big != i ); - TS_ASSERT( i != big ); - TS_ASSERT( big != zero ); - TS_ASSERT( r != i ); - TS_ASSERT( i != r ); - - TS_ASSERT( r > zero ); - TS_ASSERT( r > one ); - TS_ASSERT( r > two ); - TS_ASSERT( r > copy ); - TS_ASSERT( r > invalid ); - TS_ASSERT( r > big ); - TS_ASSERT( r > i ); - TS_ASSERT( !( r > r ) ); - TS_ASSERT( r >= r ); + TS_ASSERT( zero.compare(one) == Cardinality::LESS ); + TS_ASSERT( one.compare(two) == Cardinality::LESS ); + TS_ASSERT( two.compare(invalid) == Cardinality::LESS ); + TS_ASSERT( invalid.compare(big) == Cardinality::LESS ); + TS_ASSERT( big.compare(i) == Cardinality::LESS ); + TS_ASSERT( i.compare(r) == Cardinality::LESS ); + + TS_ASSERT( zero.compare(one) != Cardinality::GREATER ); + TS_ASSERT( zero.compare(zero) != Cardinality::GREATER ); + TS_ASSERT( one.compare(two) != Cardinality::GREATER ); + TS_ASSERT( one.compare(one) != Cardinality::GREATER ); + TS_ASSERT( two.compare(invalid) != Cardinality::GREATER ); + TS_ASSERT( two.compare(two) != Cardinality::GREATER ); + TS_ASSERT( invalid.compare(big) != Cardinality::GREATER ); + TS_ASSERT( invalid.compare(invalid) != Cardinality::GREATER ); + TS_ASSERT( big.compare(i) != Cardinality::GREATER ); + TS_ASSERT( big.compare(big) != Cardinality::GREATER ); + TS_ASSERT( i.compare(r) != Cardinality::GREATER ); + TS_ASSERT( i.compare(i) != Cardinality::GREATER ); + TS_ASSERT( r.compare(r) != Cardinality::GREATER ); + + TS_ASSERT( zero.compare(zero) == Cardinality::EQUAL ); + TS_ASSERT( one.compare(one) == Cardinality::EQUAL ); + TS_ASSERT( two.compare(two) == Cardinality::EQUAL ); + TS_ASSERT( invalid.compare(invalid) == Cardinality::EQUAL ); + TS_ASSERT( copy.compare(copy) == Cardinality::EQUAL ); + TS_ASSERT( copy.compare(one) == Cardinality::EQUAL ); + TS_ASSERT( one.compare(copy) == Cardinality::EQUAL ); + TS_ASSERT( big.compare(big) == Cardinality::UNKNOWN ); + TS_ASSERT( i.compare(i) == Cardinality::EQUAL ); + TS_ASSERT( r.compare(r) == Cardinality::EQUAL ); + + TS_ASSERT( zero.compare(one) != Cardinality::EQUAL ); + TS_ASSERT( one.compare(two) != Cardinality::EQUAL ); + TS_ASSERT( two.compare(invalid) != Cardinality::EQUAL ); + TS_ASSERT( copy.compare(r) != Cardinality::EQUAL ); + TS_ASSERT( copy.compare(i) != Cardinality::EQUAL ); + TS_ASSERT( big.compare(i) != Cardinality::EQUAL ); + TS_ASSERT( i.compare(big) != Cardinality::EQUAL ); + TS_ASSERT( big.compare(zero) != Cardinality::EQUAL ); + TS_ASSERT( r.compare(i) != Cardinality::EQUAL ); + TS_ASSERT( i.compare(r) != Cardinality::EQUAL ); + + TS_ASSERT( r.compare(zero) == Cardinality::GREATER ); + TS_ASSERT( r.compare(one) == Cardinality::GREATER ); + TS_ASSERT( r.compare(two) == Cardinality::GREATER ); + TS_ASSERT( r.compare(copy) == Cardinality::GREATER ); + TS_ASSERT( r.compare(invalid) == Cardinality::GREATER ); + TS_ASSERT( r.compare(big) == Cardinality::GREATER ); + TS_ASSERT( r.compare(i) == Cardinality::GREATER ); + TS_ASSERT( r.compare(r) != Cardinality::GREATER ); + TS_ASSERT( r.compare(r) != Cardinality::LESS ); TS_ASSERT( zero.isFinite() ); TS_ASSERT( one.isFinite() ); @@ -109,12 +109,21 @@ public: TS_ASSERT( !i.isFinite() ); TS_ASSERT( !r.isFinite() ); + TS_ASSERT( !zero.isLargeFinite() ); + TS_ASSERT( !one.isLargeFinite() ); + TS_ASSERT( !two.isLargeFinite() ); + TS_ASSERT( !copy.isLargeFinite() ); + TS_ASSERT( !invalid.isLargeFinite() ); + TS_ASSERT( big.isLargeFinite() ); + TS_ASSERT( !i.isLargeFinite() ); + TS_ASSERT( !r.isLargeFinite() ); + TS_ASSERT( zero.getFiniteCardinality() == 0 ); TS_ASSERT( one.getFiniteCardinality() == 1 ); TS_ASSERT( two.getFiniteCardinality() == 2 ); TS_ASSERT( copy.getFiniteCardinality() == 1 ); TS_ASSERT( invalid.getFiniteCardinality() == 5 ); - TS_ASSERT( big.getFiniteCardinality() == Integer("3983982192391747295721957") ); + TS_ASSERT_THROWS( big.getFiniteCardinality(), IllegalArgumentException ); TS_ASSERT_THROWS( i.getFiniteCardinality(), IllegalArgumentException ); TS_ASSERT_THROWS( r.getFiniteCardinality(), IllegalArgumentException ); @@ -127,127 +136,127 @@ public: TS_ASSERT( i.getBethNumber() == 0 ); TS_ASSERT( r.getBethNumber() == 1 ); - TS_ASSERT( zero != Cardinality::INTEGERS ); - TS_ASSERT( one != Cardinality::INTEGERS ); - TS_ASSERT( two != Cardinality::INTEGERS ); - TS_ASSERT( copy != Cardinality::INTEGERS ); - TS_ASSERT( invalid != Cardinality::INTEGERS ); - TS_ASSERT( big != Cardinality::INTEGERS ); - TS_ASSERT( r != Cardinality::INTEGERS ); - TS_ASSERT( i == Cardinality::INTEGERS ); - - TS_ASSERT( zero != Cardinality::REALS ); - TS_ASSERT( one != Cardinality::REALS ); - TS_ASSERT( two != Cardinality::REALS ); - TS_ASSERT( copy != Cardinality::REALS ); - TS_ASSERT( invalid != Cardinality::REALS ); - TS_ASSERT( big != Cardinality::REALS ); - TS_ASSERT( i != Cardinality::REALS ); - TS_ASSERT( r == Cardinality::REALS ); + TS_ASSERT( zero.compare(Cardinality::INTEGERS) != Cardinality::EQUAL ); + TS_ASSERT( one.compare(Cardinality::INTEGERS) != Cardinality::EQUAL ); + TS_ASSERT( two.compare(Cardinality::INTEGERS) != Cardinality::EQUAL ); + TS_ASSERT( copy.compare(Cardinality::INTEGERS) != Cardinality::EQUAL ); + TS_ASSERT( invalid.compare(Cardinality::INTEGERS) != Cardinality::EQUAL ); + TS_ASSERT( big.compare(Cardinality::INTEGERS) != Cardinality::EQUAL ); + TS_ASSERT( r.compare(Cardinality::INTEGERS) != Cardinality::EQUAL ); + TS_ASSERT( i.compare(Cardinality::INTEGERS) == Cardinality::EQUAL ); + + TS_ASSERT( zero.compare(Cardinality::REALS) != Cardinality::EQUAL ); + TS_ASSERT( one.compare(Cardinality::REALS) != Cardinality::EQUAL ); + TS_ASSERT( two.compare(Cardinality::REALS) != Cardinality::EQUAL ); + TS_ASSERT( copy.compare(Cardinality::REALS) != Cardinality::EQUAL ); + TS_ASSERT( invalid.compare(Cardinality::REALS) != Cardinality::EQUAL ); + TS_ASSERT( big.compare(Cardinality::REALS) != Cardinality::EQUAL ); + TS_ASSERT( i.compare(Cardinality::REALS) != Cardinality::EQUAL ); + TS_ASSERT( r.compare(Cardinality::REALS) == Cardinality::EQUAL ); // should work the other way too - TS_ASSERT( Cardinality::INTEGERS != zero ); - TS_ASSERT( Cardinality::INTEGERS != one ); - TS_ASSERT( Cardinality::INTEGERS != two ); - TS_ASSERT( Cardinality::INTEGERS != copy ); - TS_ASSERT( Cardinality::INTEGERS != invalid ); - TS_ASSERT( Cardinality::INTEGERS != big ); - TS_ASSERT( Cardinality::INTEGERS != r ); - TS_ASSERT( Cardinality::INTEGERS == i ); - - TS_ASSERT( Cardinality::REALS != zero ); - TS_ASSERT( Cardinality::REALS != one ); - TS_ASSERT( Cardinality::REALS != two ); - TS_ASSERT( Cardinality::REALS != copy ); - TS_ASSERT( Cardinality::REALS != invalid ); - TS_ASSERT( Cardinality::REALS != big ); - TS_ASSERT( Cardinality::REALS != i ); - TS_ASSERT( Cardinality::REALS == r ); + TS_ASSERT( Cardinality::INTEGERS.compare(zero) != Cardinality::EQUAL ); + TS_ASSERT( Cardinality::INTEGERS.compare(one) != Cardinality::EQUAL ); + TS_ASSERT( Cardinality::INTEGERS.compare(two) != Cardinality::EQUAL ); + TS_ASSERT( Cardinality::INTEGERS.compare(copy) != Cardinality::EQUAL ); + TS_ASSERT( Cardinality::INTEGERS.compare(invalid) != Cardinality::EQUAL ); + TS_ASSERT( Cardinality::INTEGERS.compare(big) != Cardinality::EQUAL ); + TS_ASSERT( Cardinality::INTEGERS.compare(r) != Cardinality::EQUAL ); + TS_ASSERT( Cardinality::INTEGERS.compare(i) == Cardinality::EQUAL ); + + TS_ASSERT( Cardinality::REALS.compare(zero) != Cardinality::EQUAL ); + TS_ASSERT( Cardinality::REALS.compare(one) != Cardinality::EQUAL ); + TS_ASSERT( Cardinality::REALS.compare(two) != Cardinality::EQUAL ); + TS_ASSERT( Cardinality::REALS.compare(copy) != Cardinality::EQUAL ); + TS_ASSERT( Cardinality::REALS.compare(invalid) != Cardinality::EQUAL ); + TS_ASSERT( Cardinality::REALS.compare(big) != Cardinality::EQUAL ); + TS_ASSERT( Cardinality::REALS.compare(i) != Cardinality::EQUAL ); + TS_ASSERT( Cardinality::REALS.compare(r) == Cardinality::EQUAL ); // finite cardinal arithmetic - TS_ASSERT( zero + zero == zero ); - TS_ASSERT( zero * zero == zero ); - TS_ASSERT( (zero ^ zero) == one ); - TS_ASSERT( zero + one == one ); - TS_ASSERT( zero * one == zero ); - TS_ASSERT( (zero ^ one) == zero ); - TS_ASSERT( one + zero == one ); - TS_ASSERT( one * zero == zero ); - TS_ASSERT( (one ^ zero) == one ); - TS_ASSERT( two + two == 4 ); - TS_ASSERT( (two ^ two) == 4 ); - TS_ASSERT( two * two == 4 ); - TS_ASSERT( (two += two) == 4 ); - TS_ASSERT( two == 4 ); - TS_ASSERT( (two = 2) == 2 ); - TS_ASSERT( two == 2 ); - TS_ASSERT( (two *= 2) == 4 ); - TS_ASSERT( two == 4 ); - TS_ASSERT( ((two = 2) ^= 2) == 4 ); - TS_ASSERT( two == 4 ); - TS_ASSERT( (two = 2) == 2 ); + TS_ASSERT( (zero + zero).compare(zero) == Cardinality::EQUAL ); + TS_ASSERT( (zero * zero).compare(zero) == Cardinality::EQUAL ); + TS_ASSERT( (zero ^ zero).compare(one) == Cardinality::EQUAL ); + TS_ASSERT( (zero + one).compare(one) == Cardinality::EQUAL ); + TS_ASSERT( (zero * one).compare(zero) == Cardinality::EQUAL ); + TS_ASSERT( (zero ^ one).compare(zero) == Cardinality::EQUAL ); + TS_ASSERT( (one + zero).compare(one) == Cardinality::EQUAL ); + TS_ASSERT( (one * zero).compare(zero) == Cardinality::EQUAL ); + TS_ASSERT( (one ^ zero).compare(one) == Cardinality::EQUAL ); + TS_ASSERT( (two + two).compare(4) == Cardinality::EQUAL ); + TS_ASSERT( (two ^ two).compare(4) == Cardinality::EQUAL ); + TS_ASSERT( (two * two).compare(4) == Cardinality::EQUAL ); + TS_ASSERT( (two += two).compare(4) == Cardinality::EQUAL ); + TS_ASSERT( two.compare(4) == Cardinality::EQUAL ); + TS_ASSERT( (two = 2).compare(2) == Cardinality::EQUAL ); + TS_ASSERT( two.compare(2) == Cardinality::EQUAL ); + TS_ASSERT( (two *= 2).compare(4) == Cardinality::EQUAL ); + TS_ASSERT( two.compare(4) == Cardinality::EQUAL ); + TS_ASSERT( ((two = 2) ^= 2).compare(4) == Cardinality::EQUAL ); + TS_ASSERT( two.compare(4) == Cardinality::EQUAL ); + TS_ASSERT( (two = 2).compare(2) == Cardinality::EQUAL ); // infinite cardinal arithmetic Cardinality x = i, y = Cardinality(2)^x, z = Cardinality(2)^y; - TS_ASSERT( x == i && y == r ); - TS_ASSERT( x != r && y != i ); - TS_ASSERT( x != z && y != z ); + TS_ASSERT( x.compare(i) == Cardinality::EQUAL && y.compare(r) == Cardinality::EQUAL ); + TS_ASSERT( x.compare(r) != Cardinality::EQUAL && y.compare(i) != Cardinality::EQUAL ); + TS_ASSERT( x.compare(z) != Cardinality::EQUAL && y.compare(z) != Cardinality::EQUAL ); TS_ASSERT( x.isCountable() && !x.isFinite() ); TS_ASSERT( !y.isCountable() && !y.isFinite() ); TS_ASSERT( !z.isCountable() && !z.isFinite() ); - TS_ASSERT( big < x ); - TS_ASSERT( x < y ); - TS_ASSERT( y < z ); + TS_ASSERT( big.compare(x) == Cardinality::LESS ); + TS_ASSERT( x.compare(y) == Cardinality::LESS ); + TS_ASSERT( y.compare(z) == Cardinality::LESS ); TS_ASSERT_THROWS( big.getBethNumber(), IllegalArgumentException ); TS_ASSERT( x.getBethNumber() == 0 ); TS_ASSERT( y.getBethNumber() == 1 ); TS_ASSERT( z.getBethNumber() == 2 ); - TS_ASSERT( (zero ^ x) == zero ); - TS_ASSERT( (one ^ x) == one ); - TS_ASSERT( (two ^ x) == y && (two ^ x) != x ); - TS_ASSERT( (big ^ x) == y && (big ^ x) != x ); - TS_ASSERT( (two ^ x) == (big ^ x) ); - - TS_ASSERT( (x ^ zero) == one ); - TS_ASSERT( (x ^ one) == x ); - TS_ASSERT( (x ^ two) == x ); - TS_ASSERT( (x ^ big) == x ); - TS_ASSERT( (x ^ big) == (x ^ two) ); - - TS_ASSERT( (zero ^ y) == zero ); - TS_ASSERT( (one ^ y) == one ); - TS_ASSERT( (two ^ y) != x && (two ^ y) != y ); - TS_ASSERT( (big ^ y) != y && (big ^ y) != y ); + TS_ASSERT( (zero ^ x).compare(zero) == Cardinality::EQUAL ); + TS_ASSERT( (one ^ x).compare(one) == Cardinality::EQUAL ); + TS_ASSERT( (two ^ x).compare(y) == Cardinality::EQUAL && (two ^ x).compare(x) != Cardinality::EQUAL ); + TS_ASSERT( (big ^ x).compare(y) == Cardinality::EQUAL && (big ^ x).compare(x) != Cardinality::EQUAL ); + TS_ASSERT( (two ^ x).compare(big ^ x) == Cardinality::EQUAL ); + + TS_ASSERT( (x ^ zero).compare(one) == Cardinality::EQUAL ); + TS_ASSERT( (x ^ one).compare(x) == Cardinality::EQUAL ); + TS_ASSERT( (x ^ two).compare(x) == Cardinality::EQUAL ); + TS_ASSERT( (x ^ big).compare(x) == Cardinality::EQUAL ); + TS_ASSERT( (x ^ big).compare(x ^ two) == Cardinality::EQUAL ); + + TS_ASSERT( (zero ^ y).compare(zero) == Cardinality::EQUAL ); + TS_ASSERT( (one ^ y).compare(one) == Cardinality::EQUAL ); + TS_ASSERT( (two ^ y).compare(x) != Cardinality::EQUAL && (two ^ y).compare(y) != Cardinality::EQUAL ); + TS_ASSERT( (big ^ y).compare(y) != Cardinality::EQUAL && (big ^ y).compare(y) != Cardinality::EQUAL ); TS_ASSERT( (big ^ y).getBethNumber() == 2 ); - TS_ASSERT( (two ^ y) == (big ^ y) ); - - TS_ASSERT( (y ^ zero) == one ); - TS_ASSERT( (y ^ one) == y ); - TS_ASSERT( (y ^ two) == y ); - TS_ASSERT( (y ^ big) == y ); - TS_ASSERT( (y ^ big) == (y ^ two) ); - - TS_ASSERT( (x ^ x) == y ); - TS_ASSERT( (y ^ x) == y ); - TS_ASSERT( (x ^ y) == z ); - TS_ASSERT( (y ^ y) == z ); - TS_ASSERT( (z ^ x) == z ); - TS_ASSERT( (z ^ y) == z ); - TS_ASSERT( (zero ^ z) == 0 ); - TS_ASSERT( (z ^ zero) == 1 ); - TS_ASSERT( (z ^ 0) == 1 ); - TS_ASSERT( (two ^ z) > z ); - TS_ASSERT( (big ^ z) == (two ^ z) ); - TS_ASSERT( (x ^ z) == (two ^ z) ); - TS_ASSERT( (y ^ z) == (x ^ z) ); - TS_ASSERT( (z ^ z) == (x ^ z) ); + TS_ASSERT( (two ^ y).compare(big ^ y) == Cardinality::EQUAL ); + + TS_ASSERT( (y ^ zero).compare(one) == Cardinality::EQUAL ); + TS_ASSERT( (y ^ one).compare(y) == Cardinality::EQUAL ); + TS_ASSERT( (y ^ two).compare(y) == Cardinality::EQUAL ); + TS_ASSERT( (y ^ big).compare(y) == Cardinality::EQUAL ); + TS_ASSERT( (y ^ big).compare(y ^ two) == Cardinality::EQUAL ); + + TS_ASSERT( (x ^ x).compare(y) == Cardinality::EQUAL ); + TS_ASSERT( (y ^ x).compare(y) == Cardinality::EQUAL ); + TS_ASSERT( (x ^ y).compare(z) == Cardinality::EQUAL ); + TS_ASSERT( (y ^ y).compare(z) == Cardinality::EQUAL ); + TS_ASSERT( (z ^ x).compare(z) == Cardinality::EQUAL ); + TS_ASSERT( (z ^ y).compare(z) == Cardinality::EQUAL ); + TS_ASSERT( (zero ^ z).compare(0) == Cardinality::EQUAL ); + TS_ASSERT( (z ^ zero).compare(1) == Cardinality::EQUAL ); + TS_ASSERT( (z ^ 0).compare(1) == Cardinality::EQUAL ); + TS_ASSERT( (two ^ z).compare(z) == Cardinality::GREATER ); + TS_ASSERT( (big ^ z).compare(two ^ z) == Cardinality::EQUAL ); + TS_ASSERT( (x ^ z).compare(two ^ z) == Cardinality::EQUAL ); + TS_ASSERT( (y ^ z).compare(x ^ z) == Cardinality::EQUAL ); + TS_ASSERT( (z ^ z).compare(x ^ z) == Cardinality::EQUAL ); TS_ASSERT( (z ^ z).getBethNumber() == 3 ); }/* testCardinalities() */ |