Space Lua: Improve numeric types semantics (#1803)
* Space Lua: Improve numeric types semantics Add numeric result normalization for arithmetic operations: * Integer operations preserve int type, collapse -0 to +0 * Float operations preserve float type, maintain -0.0 * Division always produces float results Fix for-loop variable type tracking: * Loop variable type determined by start/step parameters * Integer loops produce integer variables * Float/mixed loops produce float-tagged variables Implement table key normalization: * Integer-valued floats (1.0, 2.0) normalize to integer keys * All zero variants (0, 0.0, -0.0) map to same key * Non-integer floats (1.5) remain distinct keys Add tests for: * Arithmetic type preservation across operators * For-loop type modes (int/float/mixed) * Table key equivalence and normalization * Edge cases with zero, -0.0, and special values * Standard library `type` and `math.type` Signed-off-by: Matouš Jan Fialka <mjf@mjf.cz> * Code refactor and deduplication Signed-off-by: Matouš Jan Fialka <mjf@mjf.cz> --------- Signed-off-by: Matouš Jan Fialka <mjf@mjf.cz>
This commit is contained in:
Matouš Jan Fialka
@@ -63,6 +63,40 @@ assert_eq(1/((-0.0)%-1.0) == -1/ 0.0, true, 'float: mod neg divisor (-0.0)')
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-- 4.1. Zero result from float addition prefers +0.0
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assert_eq(1/((-0.0)+0.0) == 1/0.0, true, 'float: (-0.0)+0.0 yields +0.0')
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-- 4.2. Plain -0.0 handling in arithmetic
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do
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local nz = -0.0
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-- Addition: -0.0 + 0 yields +0.0 (IEEE 754 rule)
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assert_eq(1/(nz + 0), 1/0.0, 'plain -0.0: nz + 0 yields +0.0')
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assert_eq(1/(0 + nz), 1/0.0, 'plain -0.0: 0 + nz yields +0.0')
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-- Multiplication preserves -0.0
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assert_eq(1/(nz * 1), -1/0.0, 'plain -0.0: nz * 1 yields -0.0')
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assert_eq(1/(1 * nz), -1/0.0, 'plain -0.0: 1 * nz yields -0.0')
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-- Subtraction: -0.0 - 0 = -0.0
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assert_eq(1/(nz - 0), 1/0.0, 'plain -0.0: nz - 0 yields +0.0')
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-- Subtraction: -0.0 - 0.0 = -0.0 (float)
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assert_eq(1/(nz - 0.0), -1/0.0, 'plain -0.0: nz - 0.0 yields -0.0')
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-- Subtraction: 0 - (-0.0) = +0.0
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assert_eq(1/(0 - nz), 1/0.0, 'plain -0.0: 0 - nz yields +0.0')
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end
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-- 4.3. Expression-generated -0.0
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do
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local r = 0.0 * -1.0
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assert_eq(1/r, -1/0.0, 'expr: 0.0 * -1.0 yields -0.0')
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local s = -1.0 * 0.0
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assert_eq(1/s, -1/0.0, 'expr: -1.0 * 0.0 yields -0.0')
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-- Division producing -0.0
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local d = -0.0 / 1.0
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assert_eq(1/d, -1/0.0, 'expr: -0.0 / 1.0 yields -0.0')
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end
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-- 5. Mixed arithmetic producing zero
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assert_eq(1/(0*-1.0) == -1/0.0, true, 'mixed: mul int*float (-0.0)')
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assert_eq(1/(0.0*-1 ) == -1/0.0, true, 'mixed: mul float*int (-0.0)')
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@@ -701,3 +735,904 @@ assertThrows("attempt to divide by zero",
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return 1 // (1-1)
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end
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)
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-- 20. `tostring()` numeric formatting
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-- 20.1. Integers
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assert_eq(tostring(0), '0', 'tostring: 0')
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assert_eq(tostring(1), '1', 'tostring: 1')
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assert_eq(tostring(-5), '-5', 'tostring: -5')
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assert_eq(tostring(42), '42', 'tostring: 42')
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assert_eq(tostring(-123), '-123', 'tostring: -123')
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-- 20.2. Float zeros (positive and negative)
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assert_eq(tostring(0.0), '0.0', 'tostring: 0.0')
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assert_eq(tostring(-0.0), '-0.0', 'tostring: -0.0')
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-- 20.3. Integer-valued floats
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assert_eq(tostring(1.0), '1.0', 'tostring: 1.0')
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assert_eq(tostring(2.0), '2.0', 'tostring: 2.0')
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assert_eq(tostring(-3.0), '-3.0', 'tostring: -3.0')
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assert_eq(tostring(100.0), '100.0', 'tostring: 100.0')
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-- 20.4. Non-integer floats
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assert_eq(tostring(0.5), '0.5', 'tostring: 0.5')
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assert_eq(tostring(3.14), '3.14', 'tostring: 3.14')
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assert_eq(tostring(-2.5), '-2.5', 'tostring: -2.5')
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-- 20.5. Special float values
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assert_eq(tostring(1/0.0), 'inf', 'tostring: +inf')
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assert_eq(tostring(-1/0.0), '-inf', 'tostring: -inf')
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assert_eq(tostring(0.0/0.0), '-nan', 'tostring: NaN')
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assert_eq(tostring(1.0%0.0), '-nan', 'tostring: NaN from modulo')
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assert_eq(tostring((-1.0)%0.0), '-nan', 'tostring: NaN from neg modulo')
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-- 20.6. Results from tonumber() preserve type
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assert_eq(tostring(tonumber('5')), '5', 'tonumber int: "5"')
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assert_eq(tostring(tonumber('5.')), '5.0', 'tonumber float: "5."')
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assert_eq(tostring(tonumber('.5')), '0.5', 'tonumber float: ".5"')
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assert_eq(tostring(tonumber('5.0')), '5.0', 'tonumber float: "5.0"')
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assert_eq(tostring(tonumber('0x10')), '16', 'tonumber hex int: "0x10"')
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assert_eq(tostring(tonumber('0x10.0')), '16.0', 'tonumber hex float: "0x10.0"')
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assert_eq(tostring(tonumber('0x1p4')), '16.0', 'tonumber hex float: "0x1p4"')
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-- 20.7. Arithmetic results formatting
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assert_eq(tostring(1+1), '2', 'int+int yields int')
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assert_eq(tostring(1.0+1.0), '2.0', 'float+float yields float')
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assert_eq(tostring(1+1.0), '2.0', 'int+float yields float')
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assert_eq(tostring(5/2), '2.5', 'division yields float')
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assert_eq(tostring(4/2), '2.0', 'division exact yields float')
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-- 21. Numeric for loops: comprehensive type/mode coverage
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-- 21.1. Integer mode (all params integer-valued and untagged)
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do
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local types, vals = {}, {}
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for i = 1, 3 do
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table.insert(types, math.type(i))
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table.insert(vals, tostring(i))
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end
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assert_eq(table.concat(types, ','), 'integer,integer,integer', 'for 1,3: types')
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assert_eq(table.concat(vals, ','), '1,2,3', 'for 1,3: values')
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end
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do
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local types = {}
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for i = 1, 3, 1 do
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table.insert(types, math.type(i))
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end
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assert_eq(types[1], 'integer', 'for 1,3,1: type')
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end
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do
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local vals = {}
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for i = 3, 1, -1 do
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table.insert(vals, tostring(i))
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end
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assert_eq(table.concat(vals, ','), '3,2,1', 'for 3,1,-1: descending')
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end
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do
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local found_zero = false
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local zero_str
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for i = -1, 1 do
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if i == 0 then
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found_zero = true
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zero_str = tostring(i)
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end
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end
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assert_eq(found_zero, true, 'for -1,1: crosses zero')
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assert_eq(zero_str, '0', 'for -1,1: zero is int')
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end
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do
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for i = 1, 3 do
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local zero = i - i
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assert_eq(math.type(zero), 'integer', 'for 1,3: i-i is int')
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assert_eq(tostring(zero), '0', 'for 1,3: i-i formats as int')
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end
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end
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do
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for i = 2, 4 do
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local expr = i * 2 - i - i
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assert_eq(math.type(expr), 'integer', 'for 2,4: int expr is int')
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assert_eq(expr, 0, 'for 2,4: int expr value')
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end
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end
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-- 21.2. Float mode (all params float-typed)
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do
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local types, vals = {}, {}
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for i = 1.0, 3.0, 1.0 do
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table.insert(types, math.type(i))
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table.insert(vals, tostring(i))
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end
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assert_eq(table.concat(types, ','), 'float,float,float', 'for 1.0,3.0,1.0: types')
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assert_eq(table.concat(vals, ','), '1.0,2.0,3.0', 'for 1.0,3.0,1.0: values')
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end
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do
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local vals = {}
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for i = 0.5, 2.5, 0.5 do
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table.insert(vals, tostring(i))
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end
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assert_eq(table.concat(vals, ','), '0.5,1.0,1.5,2.0,2.5', 'for 0.5,2.5,0.5: values')
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end
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do
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local vals = {}
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for i = 3.0, 1.0, -1.0 do
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table.insert(vals, tostring(i))
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end
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assert_eq(table.concat(vals, ','), '3.0,2.0,1.0', 'for 3.0,1.0,-1.0: descending')
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end
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do
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local vals = {}
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for i = 2.5, 0.5, -0.5 do
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table.insert(vals, tostring(i))
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end
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assert_eq(table.concat(vals, ','), '2.5,2.0,1.5,1.0,0.5', 'for 2.5,0.5,-0.5: values')
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end
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do
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local zero_str
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for i = -1.0, 1.0 do
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if i == 0 then
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zero_str = tostring(i)
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end
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end
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assert_eq(zero_str, '0.0', 'for -1.0,1.0: zero is float')
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end
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do
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for i = 1.0, 3.0 do
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local zero = i - i
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assert_eq(math.type(zero), 'float', 'for 1.0,3.0: i-i is float')
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assert_eq(tostring(zero), '0.0', 'for 1.0,3.0: i-i formats as float')
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end
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end
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do
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for i = 2.0, 4.0 do
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local expr = i * 2.0 - i - i
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assert_eq(math.type(expr), 'float', 'for 2.0,4.0: float expr is float')
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assert_eq(tostring(expr), '0.0', 'for 2.0,4.0: float expr formats')
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end
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end
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-- 21.3. Mixed mode (start type determines loop var type)
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do
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local types, vals = {}, {}
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for i = 1, 3.5 do
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table.insert(types, math.type(i))
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table.insert(vals, tostring(i))
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end
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assert_eq(types[1], 'integer', 'for 1,3.5: start int yields var int')
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assert_eq(types[2], 'integer', 'for 1,3.5: var stays int')
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assert_eq(table.concat(vals, ','), '1,2,3', 'for 1,3.5: int formatting')
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end
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do
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local types, vals = {}, {}
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for i = 1.0, 3 do
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table.insert(types, math.type(i))
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table.insert(vals, tostring(i))
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end
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assert_eq(types[1], 'float', 'for 1.0,3: start float yields var float')
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assert_eq(types[2], 'float', 'for 1.0,3: var stays float')
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assert_eq(table.concat(vals, ','), '1.0,2.0,3.0', 'for 1.0,3: float formatting')
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end
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do
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local types = {}
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for i = 1, 3.0 do
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table.insert(types, math.type(i))
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end
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assert_eq(types[1], 'integer', 'for 1,3.0: end=3.0 but start int yields var int')
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end
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do
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local types, vals = {}, {}
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for i = 1, 3, 1.0 do
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table.insert(types, math.type(i))
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table.insert(vals, tostring(i))
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end
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assert_eq(types[1], 'float', 'for 1,3,1.0: step float yields var float')
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assert_eq(table.concat(vals, ','), '1.0,2.0,3.0', 'for 1,3,1.0: float formatting')
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end
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do
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local types, vals = {}, {}
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for i = 1.0, 3.0, 1 do
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table.insert(types, math.type(i))
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table.insert(vals, tostring(i))
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end
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assert_eq(types[1], 'float', 'for 1.0,3.0,1: start float yields var float')
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assert_eq(table.concat(vals, ','), '1.0,2.0,3.0', 'for 1.0,3.0,1: float formatting')
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end
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do
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local types = {}
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for i = 3.0, 1, -1 do
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table.insert(types, math.type(i))
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end
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assert_eq(types[1], 'float', 'for 3.0,1,-1: start float yields var float')
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end
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-- Mixed mode: float step, integer start
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do
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local types, vals = {}, {}
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for i = 1, 3, 1.0 do
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table.insert(types, math.type(i))
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table.insert(vals, tostring(i))
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end
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assert_eq(types[1], 'float', 'for 1,3,1.0: step float yields var float')
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assert_eq(table.concat(vals, ','), '1.0,2.0,3.0', 'for 1,3,1.0: float formatting')
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end
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-- Mixed mode: integer start, negative float step
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do
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local types, vals = {}, {}
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for i = 3, 1, -1.0 do
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table.insert(types, math.type(i))
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table.insert(vals, tostring(i))
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end
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assert_eq(types[1], 'float', 'for 3,1,-1.0: step float yields var float')
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assert_eq(table.concat(vals, ','), '3.0,2.0,1.0', 'for 3,1,-1.0: float formatting')
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end
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do
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for i = 1, 3.5 do
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local zero = i - i
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assert_eq(math.type(zero), 'integer', 'for 1,3.5: start int yields i-i is int')
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end
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end
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do
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for i = 1.0, 3 do
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local zero = i - i
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assert_eq(math.type(zero), 'float', 'for 1.0,3: start float yields i-i is float')
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end
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end
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-- 21.4. Boundary conditions
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do
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local count = 0
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for i = 5, 5 do
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count = count + 1
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assert_eq(i, 5, 'for 5,5: i=5')
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end
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assert_eq(count, 1, 'for 5,5: one iteration')
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end
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do
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local count = 0
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for i = 5, 3 do
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count = count + 1
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end
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assert_eq(count, 0, 'for 5,3: no iterations')
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end
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do
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local count = 0
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for i = 3, 5, -1 do
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count = count + 1
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end
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assert_eq(count, 0, 'for 3,5,-1: no iterations')
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end
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do
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local last
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for i = 1.0, 3.0 do
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last = i
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end
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assert_eq(tostring(last), '3.0', 'for 1.0,3.0: exactly reaches end')
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end
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do
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local last
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for i = 1, 10, 3 do
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last = i
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end
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assert_eq(last, 10, 'for 1,10,3: reaches end exactly')
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end
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do
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local last
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for i = 1, 9, 3 do
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last = i
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end
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assert_eq(last, 7, 'for 1,9,3: stops before end')
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end
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do
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local vals = {}
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for i = 0.1, 0.3, 0.1 do
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table.insert(vals, i)
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end
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assert_eq(#vals, 2, 'for 0.1,0.3,0.1: small float step iterations')
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end
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do
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local vals = {}
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-- 0.5 has exact binary representation
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for i = 0.5, 1.5, 0.5 do
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table.insert(vals, i)
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end
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assert_eq(#vals, 3, 'for 0.5,1.5,0.5: small float step')
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end
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-- 21.5. Edge cases and errors
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assertThrows('step is zero', function()
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for i = 1, 10, 0 do
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end
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end)
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assertThrows('step is zero', function()
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for i = 1.0, 10.0, 0.0 do
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end
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end)
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do
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local count = 0
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for i = 1, 1000000 do
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count = count + 1
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if count > 5 then break end
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end
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assert_eq(count, 6, 'for 1,1000000: large range with break')
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end
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do
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local sum = 0
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for i = 1, 5, 2 do
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sum = sum + i
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end
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assert_eq(sum, 9, 'for 1,5,2: step>1 sum (1+3+5)')
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end
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do
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local sum = 0
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for i = 10, 1, -3 do
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sum = sum + i
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end
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assert_eq(sum, 22, 'for 10,1,-3: negative step>1 sum (10+7+4+1)')
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end
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-- 22. Table numeric key equivalence
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-- 22.1. Integer-valued floats normalize to integers
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do
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local t = {}
|
||||
t[1] = 'one'
|
||||
assert_eq(t[1.0], 'one', 'table: t[1] accessed via t[1.0]')
|
||||
assert_eq(t[1], 'one', 'table: t[1] accessed via t[1]')
|
||||
end
|
||||
|
||||
do
|
||||
local t = {}
|
||||
t[2.0] = 'two'
|
||||
assert_eq(t[2], 'two', 'table: t[2.0] accessed via t[2]')
|
||||
assert_eq(t[2.0], 'two', 'table: t[2.0] accessed via t[2.0]')
|
||||
end
|
||||
|
||||
do
|
||||
local t = {}
|
||||
t[1] = 'a'
|
||||
t[2.0] = 'b'
|
||||
t[3] = 'c'
|
||||
assert_eq(t[1.0], 'a', 'table: multi-key t[1.0]')
|
||||
assert_eq(t[2], 'b', 'table: multi-key t[2]')
|
||||
assert_eq(t[3.0], 'c', 'table: multi-key t[3.0]')
|
||||
end
|
||||
|
||||
do
|
||||
local t = {}
|
||||
t[5] = 'first'
|
||||
t[5.0] = 'second'
|
||||
assert_eq(t[5], 'second', 'table: overwrite int with float')
|
||||
assert_eq(t[5.0], 'second', 'table: overwrite int with float (access)')
|
||||
end
|
||||
|
||||
do
|
||||
local t = {}
|
||||
t[100] = 'hundred'
|
||||
assert_eq(t[100.0], 'hundred', 'table: large int t[100.0]')
|
||||
end
|
||||
|
||||
-- 22.2. Zero normalization (both -0 and +0 map to same key)
|
||||
|
||||
do
|
||||
local t = {}
|
||||
t[0] = 'zero'
|
||||
assert_eq(t[-0.0], 'zero', 'table: t[0] accessed via t[-0.0]')
|
||||
assert_eq(t[0.0], 'zero', 'table: t[0] accessed via t[0.0]')
|
||||
assert_eq(t[0], 'zero', 'table: t[0] accessed via t[0]')
|
||||
end
|
||||
|
||||
do
|
||||
local t = {}
|
||||
t[-0.0] = 'negzero'
|
||||
assert_eq(t[0], 'negzero', 'table: t[-0.0] accessed via t[0]')
|
||||
assert_eq(t[0.0], 'negzero', 'table: t[-0.0] accessed via t[0.0]')
|
||||
assert_eq(t[-0.0], 'negzero', 'table: t[-0.0] accessed via t[-0.0]')
|
||||
end
|
||||
|
||||
do
|
||||
local t = {}
|
||||
t[0.0] = 'float_zero'
|
||||
assert_eq(t[0], 'float_zero', 'table: t[0.0] accessed via t[0]')
|
||||
assert_eq(t[-0.0], 'float_zero', 'table: t[0.0] accessed via t[-0.0]')
|
||||
end
|
||||
|
||||
do
|
||||
local t = {}
|
||||
t[0] = 'first'
|
||||
t[-0.0] = 'second'
|
||||
t[0.0] = 'third'
|
||||
assert_eq(t[0], 'third', 'table: zero overwrite final')
|
||||
assert_eq(t[-0.0], 'third', 'table: zero overwrite via -0.0')
|
||||
end
|
||||
|
||||
-- 22.3. Non-integer floats are distinct keys
|
||||
|
||||
do
|
||||
local t = {}
|
||||
t[1] = 'int_one'
|
||||
t[1.5] = 'one_point_five'
|
||||
assert_eq(t[1], 'int_one', 'table: non-int float t[1]')
|
||||
assert_eq(t[1.5], 'one_point_five', 'table: non-int float t[1.5]')
|
||||
assert_eq(t[1.0], 'int_one', 'table: non-int float t[1.0] maps to int')
|
||||
end
|
||||
|
||||
do
|
||||
local t = {}
|
||||
t[0.5] = 'half'
|
||||
t[1.5] = 'one_half'
|
||||
t[2.5] = 'two_half'
|
||||
assert_eq(t[0.5], 'half', 'table: multi non-int t[0.5]')
|
||||
assert_eq(t[1.5], 'one_half', 'table: multi non-int t[1.5]')
|
||||
assert_eq(t[2.5], 'two_half', 'table: multi non-int t[2.5]')
|
||||
end
|
||||
|
||||
-- 22.4. Mixed integer and float keys
|
||||
|
||||
do
|
||||
local t = {}
|
||||
t[0] = 'zero'
|
||||
t[1] = 'one'
|
||||
t[1.5] = 'one_point_five'
|
||||
t[2.0] = 'two'
|
||||
t[-0.0] = 'neg_zero'
|
||||
|
||||
assert_eq(t[0], 'neg_zero', 'table: mixed t[0] (last zero)')
|
||||
assert_eq(t[0.0], 'neg_zero', 'table: mixed t[0.0]')
|
||||
assert_eq(t[-0.0], 'neg_zero', 'table: mixed t[-0.0]')
|
||||
assert_eq(t[1], 'one', 'table: mixed t[1]')
|
||||
assert_eq(t[1.0], 'one', 'table: mixed t[1.0]')
|
||||
assert_eq(t[1.5], 'one_point_five', 'table: mixed t[1.5]')
|
||||
assert_eq(t[2], 'two', 'table: mixed t[2]')
|
||||
assert_eq(t[2.0], 'two', 'table: mixed t[2.0]')
|
||||
end
|
||||
|
||||
-- 22.5. Key equivalence with expressions
|
||||
|
||||
do
|
||||
local t = {}
|
||||
t[1+1] = 'two'
|
||||
assert_eq(t[2.0], 'two', 'table: expr key t[1+1] via t[2.0]')
|
||||
assert_eq(t[4/2], 'two', 'table: expr key t[4/2]')
|
||||
end
|
||||
|
||||
do
|
||||
local t = {}
|
||||
t[1-1] = 'int_zero'
|
||||
assert_eq(t[0], 'int_zero', 'table: expr t[1-1] via t[0]')
|
||||
assert_eq(t[0.0], 'int_zero', 'table: expr t[1-1] via t[0.0]')
|
||||
assert_eq(t[-0.0], 'int_zero', 'table: expr t[1-1] via t[-0.0]')
|
||||
end
|
||||
|
||||
do
|
||||
local t = {}
|
||||
t[1.0-1.0] = 'float_zero'
|
||||
assert_eq(t[0], 'float_zero', 'table: expr t[1.0-1.0] via t[0]')
|
||||
assert_eq(t[-0.0], 'float_zero', 'table: expr t[1.0-1.0] via t[-0.0]')
|
||||
end
|
||||
|
||||
-- 22.6. Key equivalence with variables
|
||||
|
||||
do
|
||||
local t = {}
|
||||
local i = 1
|
||||
local f = 1.0
|
||||
t[i] = 'from_int'
|
||||
assert_eq(t[f], 'from_int', 'table: var int key via float var')
|
||||
end
|
||||
|
||||
do
|
||||
local t = {}
|
||||
local i = 1
|
||||
local f = 1.0
|
||||
t[f] = 'from_float'
|
||||
assert_eq(t[i], 'from_float', 'table: var float key via int var')
|
||||
end
|
||||
|
||||
do
|
||||
local t = {}
|
||||
local zi = 0
|
||||
local zf = 0.0
|
||||
local zfn = -0.0
|
||||
t[zi] = 'int_zero'
|
||||
assert_eq(t[zf], 'int_zero', 'table: var zi via zf')
|
||||
assert_eq(t[zfn], 'int_zero', 'table: var zi via zfn')
|
||||
end
|
||||
|
||||
-- 22.7. Key equivalence in array part
|
||||
|
||||
do
|
||||
local t = {10, 20, 30}
|
||||
assert_eq(t[1.0], 10, 'table: array t[1.0]')
|
||||
assert_eq(t[2.0], 20, 'table: array t[2.0]')
|
||||
assert_eq(t[3.0], 30, 'table: array t[3.0]')
|
||||
end
|
||||
|
||||
do
|
||||
local t = {}
|
||||
t[1.0] = 'first'
|
||||
t[2.0] = 'second'
|
||||
assert_eq(t[1], 'first', 'table: array assign t[1.0] via t[1]')
|
||||
assert_eq(t[2], 'second', 'table: array assign t[2.0] via t[2]')
|
||||
end
|
||||
|
||||
-- 22.8. Key counting and iteration
|
||||
|
||||
do
|
||||
local t = {}
|
||||
t[1] = 'a'
|
||||
t[1.0] = 'b'
|
||||
t[2] = 'c'
|
||||
t[2.0] = 'd'
|
||||
|
||||
local count = 0
|
||||
for k, v in pairs(t) do
|
||||
count = count + 1
|
||||
end
|
||||
assert_eq(count, 2, 'table: normalized keys count as one')
|
||||
end
|
||||
|
||||
do
|
||||
local t = {}
|
||||
t[0] = 'a'
|
||||
t[0.0] = 'b'
|
||||
t[-0.0] = 'c'
|
||||
|
||||
local count = 0
|
||||
for k, v in pairs(t) do
|
||||
count = count + 1
|
||||
end
|
||||
assert_eq(count, 1, 'table: all zeros count as one key')
|
||||
end
|
||||
|
||||
-- 23. Type introspection: type() and math.type()
|
||||
|
||||
-- 23.1. Basic type() function (returns general Lua types)
|
||||
|
||||
assert_eq(type(nil), 'nil', 'type(nil)')
|
||||
assert_eq(type(true), 'boolean', 'type(true)')
|
||||
assert_eq(type(false), 'boolean', 'type(false)')
|
||||
assert_eq(type(0), 'number', 'type(0) is number')
|
||||
assert_eq(type(1), 'number', 'type(1) is number')
|
||||
assert_eq(type(0.0), 'number', 'type(0.0) is number')
|
||||
assert_eq(type(1.0), 'number', 'type(1.0) is number')
|
||||
assert_eq(type(-0.0), 'number', 'type(-0.0) is number')
|
||||
assert_eq(type(1.5), 'number', 'type(1.5) is number')
|
||||
assert_eq(type(1/0.0), 'number', 'type(inf) is number')
|
||||
assert_eq(type(0.0/0.0), 'number', 'type(nan) is number')
|
||||
assert_eq(type('hello'), 'string', 'type(string)')
|
||||
assert_eq(type({}), 'table', 'type(table)')
|
||||
assert_eq(type(function() end), 'function', 'type(function)')
|
||||
|
||||
-- 23.2. math.type() function (distinguishes integer vs float)
|
||||
|
||||
-- Integers
|
||||
assert_eq(math.type(0), 'integer', 'math.type(0)')
|
||||
assert_eq(math.type(1), 'integer', 'math.type(1)')
|
||||
assert_eq(math.type(-1), 'integer', 'math.type(-1)')
|
||||
assert_eq(math.type(42), 'integer', 'math.type(42)')
|
||||
assert_eq(math.type(-123), 'integer', 'math.type(-123)')
|
||||
assert_eq(math.type(1000000), 'integer', 'math.type(1000000)')
|
||||
|
||||
-- Floats (literals with decimal point)
|
||||
assert_eq(math.type(0.0), 'float', 'math.type(0.0)')
|
||||
assert_eq(math.type(-0.0), 'float', 'math.type(-0.0)')
|
||||
assert_eq(math.type(1.0), 'float', 'math.type(1.0)')
|
||||
assert_eq(math.type(2.0), 'float', 'math.type(2.0)')
|
||||
assert_eq(math.type(-3.0), 'float', 'math.type(-3.0)')
|
||||
assert_eq(math.type(100.0), 'float', 'math.type(100.0)')
|
||||
|
||||
-- Floats (non-integer values)
|
||||
assert_eq(math.type(0.5), 'float', 'math.type(0.5)')
|
||||
assert_eq(math.type(1.5), 'float', 'math.type(1.5)')
|
||||
assert_eq(math.type(3.14), 'float', 'math.type(3.14)')
|
||||
assert_eq(math.type(-2.5), 'float', 'math.type(-2.5)')
|
||||
|
||||
-- Special float values
|
||||
assert_eq(math.type(1/0.0), 'float', 'math.type(inf)')
|
||||
assert_eq(math.type(-1/0.0), 'float', 'math.type(-inf)')
|
||||
assert_eq(math.type(0.0/0.0), 'float', 'math.type(nan)')
|
||||
|
||||
-- Non-numbers return nil
|
||||
assert_eq(math.type(nil), nil, 'math.type(nil) yields nil')
|
||||
assert_eq(math.type(true), nil, 'math.type(boolean) yields nil')
|
||||
assert_eq(math.type('123'), nil, 'math.type(string) yields nil')
|
||||
assert_eq(math.type({}), nil, 'math.type(table) yields nil')
|
||||
assert_eq(math.type(function() end), nil, 'math.type(function) yields nil')
|
||||
|
||||
-- 23.3. Integer arithmetic preserves integer type
|
||||
|
||||
do
|
||||
local a = 1
|
||||
local b = 2
|
||||
assert_eq(math.type(a + b), 'integer', 'int + int yields integer')
|
||||
assert_eq(math.type(a - b), 'integer', 'int - int yields integer')
|
||||
assert_eq(math.type(a * b), 'integer', 'int * int yields integer')
|
||||
assert_eq(math.type(a // b), 'integer', 'int // int yields integer')
|
||||
assert_eq(math.type(a % b), 'integer', 'int % int yields integer')
|
||||
end
|
||||
|
||||
-- Integer operations producing zero
|
||||
do
|
||||
assert_eq(math.type(1 - 1), 'integer', '1 - 1 yields integer zero')
|
||||
assert_eq(math.type(0 * 5), 'integer', '0 * 5 yields integer zero')
|
||||
assert_eq(math.type(0 % 1), 'integer', '0 % 1 yields integer zero')
|
||||
assert_eq(math.type(0 // 1), 'integer', '0 // 1 yields integer zero')
|
||||
end
|
||||
|
||||
-- 23.4. Float arithmetic preserves float type
|
||||
|
||||
do
|
||||
local a = 1.0
|
||||
local b = 2.0
|
||||
assert_eq(math.type(a + b), 'float', 'float + float yields float')
|
||||
assert_eq(math.type(a - b), 'float', 'float - float yields float')
|
||||
assert_eq(math.type(a * b), 'float', 'float * float yields float')
|
||||
assert_eq(math.type(a / b), 'float', 'float / float yields float')
|
||||
assert_eq(math.type(a // b), 'float', 'float // float yields float')
|
||||
assert_eq(math.type(a % b), 'float', 'float % float yields float')
|
||||
end
|
||||
|
||||
-- Float operations producing zero
|
||||
do
|
||||
assert_eq(math.type(1.0 - 1.0), 'float', '1.0 - 1.0 yields float zero')
|
||||
assert_eq(math.type(0.0 * 5.0), 'float', '0.0 * 5.0 yields float zero')
|
||||
assert_eq(math.type(0.0 % 1.0), 'float', '0.0 % 1.0 yields float zero')
|
||||
assert_eq(math.type(0.0 // 1.0), 'float', '0.0 // 1.0 yields float zero')
|
||||
end
|
||||
|
||||
-- 23.5. Mixed arithmetic promotes to float
|
||||
|
||||
do
|
||||
assert_eq(math.type(1 + 1.0), 'float', 'int + float yields float')
|
||||
assert_eq(math.type(1.0 + 1), 'float', 'float + int yields float')
|
||||
assert_eq(math.type(2 * 1.5), 'float', 'int * float yields float')
|
||||
assert_eq(math.type(3.0 - 1), 'float', 'float - int yields float')
|
||||
assert_eq(math.type(5 // 2.0), 'float', 'int // float yields float')
|
||||
assert_eq(math.type(5.0 % 2), 'float', 'float % int yields float')
|
||||
end
|
||||
|
||||
-- Mixed operations producing zero
|
||||
do
|
||||
assert_eq(math.type(1 - 1.0), 'float', '1 - 1.0 yields float zero')
|
||||
assert_eq(math.type(0 * 1.0), 'float', '0 * 1.0 yields float zero')
|
||||
assert_eq(math.type(0.0 * 1), 'float', '0.0 * 1 yields float zero')
|
||||
end
|
||||
|
||||
-- 23.6. Division and power always produce floats
|
||||
|
||||
do
|
||||
assert_eq(math.type(4 / 2), 'float', '4 / 2 yields float (2.0)')
|
||||
assert_eq(math.type(5 / 2), 'float', '5 / 2 yields float (2.5)')
|
||||
assert_eq(math.type(1 / 1), 'float', '1 / 1 yields float (1.0)')
|
||||
|
||||
assert_eq(math.type(2 ^ 3), 'float', '2 ^ 3 yields float (8.0)')
|
||||
assert_eq(math.type(2 ^ 0), 'float', '2 ^ 0 yields float (1.0)')
|
||||
assert_eq(math.type(10 ^ 2), 'float', '10 ^ 2 yields float (100.0)')
|
||||
end
|
||||
|
||||
-- Division producing zero
|
||||
do
|
||||
assert_eq(math.type(0 / 1), 'float', '0 / 1 yields float zero')
|
||||
assert_eq(math.type(0.0 / 1.0), 'float', '0.0 / 1.0 yields float zero')
|
||||
end
|
||||
|
||||
-- 23.7. Unary minus preserves type
|
||||
|
||||
do
|
||||
assert_eq(math.type(-5), 'integer', '-5 is integer')
|
||||
assert_eq(math.type(-0), 'integer', '-0 is integer')
|
||||
|
||||
assert_eq(math.type(-5.0), 'float', '-5.0 is float')
|
||||
assert_eq(math.type(-0.0), 'float', '-0.0 is float')
|
||||
end
|
||||
|
||||
-- Unary minus on variables
|
||||
do
|
||||
local i = 5
|
||||
local f = 5.0
|
||||
assert_eq(math.type(-i), 'integer', 'unary minus int var')
|
||||
assert_eq(math.type(-f), 'float', 'unary minus float var')
|
||||
end
|
||||
|
||||
-- Unary minus on expressions
|
||||
do
|
||||
assert_eq(math.type(-(1 + 1)), 'integer', 'unary minus int expr')
|
||||
assert_eq(math.type(-(1.0 + 1.0)), 'float', 'unary minus float expr')
|
||||
end
|
||||
|
||||
-- 23.8. String coercion preserves type (tonumber)
|
||||
|
||||
do
|
||||
assert_eq(math.type(tonumber('5')), 'integer', 'tonumber("5") yields integer')
|
||||
assert_eq(math.type(tonumber('5.')), 'float', 'tonumber("5.") yields float')
|
||||
assert_eq(math.type(tonumber('.5')), 'float', 'tonumber(".5") yields float')
|
||||
assert_eq(math.type(tonumber('5.0')), 'float', 'tonumber("5.0") yields float')
|
||||
assert_eq(math.type(tonumber('-0')), 'integer', 'tonumber("-0") yields integer')
|
||||
assert_eq(math.type(tonumber('-0.0')), 'float', 'tonumber("-0.0") yields float')
|
||||
end
|
||||
|
||||
-- Hexadecimal literals
|
||||
do
|
||||
assert_eq(math.type(tonumber('0x10')), 'integer', 'tonumber("0x10") yields integer')
|
||||
assert_eq(math.type(tonumber('0x10.0')), 'float', 'tonumber("0x10.0") yields float')
|
||||
assert_eq(math.type(tonumber('0x1p4')), 'float', 'tonumber("0x1p4") yields float')
|
||||
end
|
||||
|
||||
-- 23.9. Variables preserve type through assignment
|
||||
|
||||
do
|
||||
local i = 5
|
||||
local f = 5.0
|
||||
|
||||
assert_eq(math.type(i), 'integer', 'int variable')
|
||||
assert_eq(math.type(f), 'float', 'float variable')
|
||||
|
||||
local i2 = i
|
||||
local f2 = f
|
||||
|
||||
assert_eq(math.type(i2), 'integer', 'int variable copy')
|
||||
assert_eq(math.type(f2), 'float', 'float variable copy')
|
||||
end
|
||||
|
||||
-- 23.10. Function returns preserve type
|
||||
|
||||
do
|
||||
local function ret_int()
|
||||
return 42
|
||||
end
|
||||
|
||||
local function ret_float()
|
||||
return 42.0
|
||||
end
|
||||
|
||||
assert_eq(math.type(ret_int()), 'integer', 'function returns integer')
|
||||
assert_eq(math.type(ret_float()), 'float', 'function returns float')
|
||||
end
|
||||
|
||||
-- 23.11. Table values preserve type
|
||||
|
||||
do
|
||||
local t = {
|
||||
i = 10,
|
||||
f = 10.0,
|
||||
[1] = 20,
|
||||
[2] = 20.0
|
||||
}
|
||||
|
||||
assert_eq(math.type(t.i), 'integer', 'table int value (string key)')
|
||||
assert_eq(math.type(t.f), 'float', 'table float value (string key)')
|
||||
assert_eq(math.type(t[1]), 'integer', 'table int value (int key)')
|
||||
assert_eq(math.type(t[2]), 'float', 'table float value (int key)')
|
||||
end
|
||||
|
||||
-- 23.12. For-loop variable type tracking
|
||||
|
||||
do
|
||||
-- Integer loop
|
||||
for i = 1, 3 do
|
||||
assert_eq(math.type(i), 'integer', 'for 1,3: var is integer')
|
||||
break -- Just test first iteration
|
||||
end
|
||||
|
||||
-- Float loop (start is float)
|
||||
for i = 1.0, 3 do
|
||||
assert_eq(math.type(i), 'float', 'for 1.0,3: var is float')
|
||||
break
|
||||
end
|
||||
|
||||
-- Float loop (step is float)
|
||||
for i = 1, 3, 1.0 do
|
||||
assert_eq(math.type(i), 'float', 'for 1,3,1.0: var is float')
|
||||
break
|
||||
end
|
||||
end
|
||||
|
||||
-- 23.13. Bitwise operations require integers (input & output)
|
||||
|
||||
do
|
||||
assert_eq(math.type(5 & 3), 'integer', 'bitwise and yields integer')
|
||||
assert_eq(math.type(5 | 2), 'integer', 'bitwise or yields integer')
|
||||
assert_eq(math.type(5 ~ 1), 'integer', 'bitwise xor yields integer')
|
||||
assert_eq(math.type(1 << 5), 'integer', 'left shift yields integer')
|
||||
assert_eq(math.type(32 >> 2), 'integer', 'right shift yields integer')
|
||||
assert_eq(math.type(~0), 'integer', 'bitwise not yields integer')
|
||||
end
|
||||
|
||||
-- Bitwise operations convert float operands to integer
|
||||
do
|
||||
assert_eq(math.type(5.0 & 3), 'integer', 'float & int yields integer')
|
||||
assert_eq(math.type(5 | 2.0), 'integer', 'int | float yields integer')
|
||||
assert_eq(math.type(5.0 ~ 1.0), 'integer', 'float ~ float yields integer')
|
||||
end
|
||||
|
||||
-- 23.14. Edge cases: zero types
|
||||
|
||||
do
|
||||
-- Positive integer zero
|
||||
assert_eq(math.type(0), 'integer', '0 is integer')
|
||||
assert_eq(math.type(1 - 1), 'integer', '1 - 1 is integer')
|
||||
assert_eq(math.type(0 * 1), 'integer', '0 * 1 is integer')
|
||||
|
||||
-- Positive float zero
|
||||
assert_eq(math.type(0.0), 'float', '0.0 is float')
|
||||
assert_eq(math.type(1.0 - 1.0), 'float', '1.0 - 1.0 is float')
|
||||
|
||||
-- Negative float zero
|
||||
assert_eq(math.type(-0.0), 'float', '-0.0 is float')
|
||||
assert_eq(math.type(0.0 * -1.0), 'float', '0.0 * -1.0 is float')
|
||||
|
||||
-- Integer operations never produce -0
|
||||
assert_eq(math.type(0 * -1), 'integer', '0 * -1 is integer (not -0)')
|
||||
end
|
||||
|
||||
-- 23.15. Special float values
|
||||
|
||||
do
|
||||
local inf = 1.0 / 0.0
|
||||
local neginf = -1.0 / 0.0
|
||||
local nan = 0.0 / 0.0
|
||||
|
||||
assert_eq(type(inf), 'number', 'inf has type number')
|
||||
assert_eq(type(neginf), 'number', '-inf has type number')
|
||||
assert_eq(type(nan), 'number', 'nan has type number')
|
||||
|
||||
assert_eq(math.type(inf), 'float', 'inf has math.type float')
|
||||
assert_eq(math.type(neginf), 'float', '-inf has math.type float')
|
||||
assert_eq(math.type(nan), 'float', 'nan has math.type float')
|
||||
end
|
||||
|
||||
-- 23.16. Type consistency across operations
|
||||
|
||||
do
|
||||
local i = 10
|
||||
local sum_i = 0
|
||||
|
||||
for n = 1, 5 do
|
||||
sum_i = sum_i + n
|
||||
assert_eq(math.type(sum_i), 'integer', 'integer sum stays integer')
|
||||
end
|
||||
|
||||
local f = 10.0
|
||||
local sum_f = 0.0
|
||||
|
||||
for n = 1.0, 5.0 do
|
||||
sum_f = sum_f + n
|
||||
assert_eq(math.type(sum_f), 'float', 'float sum stays float')
|
||||
end
|
||||
end
|
||||
|
||||
Reference in New Issue
Block a user