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Fix rounding in scm_i_divide2double for negative arguments.
* libguile/numbers.c (INUM_LOSSLESSLY_CONVERTIBLE_TO_DOUBLE): New macro. (scm_i_divide2double): Use INUM_LOSSLESSLY_CONVERTIBLE_TO_DOUBLE to determine if our fast path is safe. Previously, negative arguments were not checked properly. * test-suite/tests/numbers.test (exact->inexact): Add tests.
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2 changed files with 24 additions and 4 deletions
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@ -100,6 +100,13 @@ typedef scm_t_signed_bits scm_t_inum;
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#define DOUBLE_IS_POSITIVE_INFINITY(x) (isinf(x) && ((x) > 0))
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#define DOUBLE_IS_NEGATIVE_INFINITY(x) (isinf(x) && ((x) < 0))
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/* Test an inum to see if it can be converted to a double without loss
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of precision. Note that this will sometimes return 0 even when 1
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could have been returned, e.g. for large powers of 2. It is designed
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to be a fast check to optimize common cases. */
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#define INUM_LOSSLESSLY_CONVERTIBLE_TO_DOUBLE(n) \
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(SCM_I_FIXNUM_BIT-1 <= DBL_MANT_DIG \
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|| ((n) ^ ((n) >> (SCM_I_FIXNUM_BIT-1))) < (1L << DBL_MANT_DIG))
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#if ! HAVE_DECL_MPZ_INITS
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@ -506,10 +513,10 @@ scm_i_divide2double (SCM n, SCM d)
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if (SCM_LIKELY (SCM_I_INUMP (d)))
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{
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if (SCM_LIKELY (SCM_I_INUMP (n)
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&& (SCM_I_FIXNUM_BIT-1 <= DBL_MANT_DIG
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|| (SCM_I_INUM (n) < (1L << DBL_MANT_DIG)
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&& SCM_I_INUM (d) < (1L << DBL_MANT_DIG)))))
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if (SCM_LIKELY
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(SCM_I_INUMP (n)
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&& INUM_LOSSLESSLY_CONVERTIBLE_TO_DOUBLE (SCM_I_INUM (n))
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&& INUM_LOSSLESSLY_CONVERTIBLE_TO_DOUBLE (SCM_I_INUM (d))))
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/* If both N and D can be losslessly converted to doubles, then
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we can rely on IEEE floating point to do proper rounding much
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faster than we can. */
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