Corrections in the implementation of '%' for floats.
The multiplication (m*b) used to test whether 'm' is non-zero and 'm' and 'b' have different signs can underflow for very small numbers, giving a wrong result. The use of explicit comparisons solves this problem. This commit also adds several new tests for '%' (both for floats and for integers) to exercise more corner cases, such as very large and very small values.
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14
llimits.h
14
llimits.h
@@ -293,15 +293,17 @@ typedef unsigned long Instruction;
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#endif
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/*
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** modulo: defined as 'a - floor(a/b)*b'; this definition gives NaN when
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** 'b' is huge, but the result should be 'a'. 'fmod' gives the result of
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** 'a - trunc(a/b)*b', and therefore must be corrected when 'trunc(a/b)
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** ~= floor(a/b)'. That happens when the division has a non-integer
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** negative result, which is equivalent to the test below.
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** modulo: defined as 'a - floor(a/b)*b'; the direct computation
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** using this definition has several problems with rounding errors,
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** so it is better to use 'fmod'. 'fmod' gives the result of
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** 'a - trunc(a/b)*b', and therefore must be corrected when
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** 'trunc(a/b) ~= floor(a/b)'. That happens when the division has a
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** non-integer negative result, which is equivalent to the tests below.
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*/
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#if !defined(luai_nummod)
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#define luai_nummod(L,a,b,m) \
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{ (m) = l_mathop(fmod)(a,b); if ((m)*(b) < 0) (m) += (b); }
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{ (void)L; (m) = l_mathop(fmod)(a,b); \
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if (((m) > 0) ? (b) < 0 : ((m) < 0 && (b) > 0)) (m) += (b); }
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#endif
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/* exponentiation */
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