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Diffstat (limited to 'patches/mpfr/3.1.3/110-lngamma-and-doc.patch')
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diff --git a/patches/mpfr/3.1.3/110-lngamma-and-doc.patch b/patches/mpfr/3.1.3/110-lngamma-and-doc.patch new file mode 100644 index 0000000..d7e1cbf --- /dev/null +++ b/patches/mpfr/3.1.3/110-lngamma-and-doc.patch @@ -0,0 +1,1117 @@ +diff -Naurd mpfr-3.1.3-a/PATCHES mpfr-3.1.3-b/PATCHES +--- mpfr-3.1.3-a/PATCHES 2015-07-02 10:49:23.950112879 +0000 ++++ mpfr-3.1.3-b/PATCHES 2015-07-02 10:49:24.042113845 +0000 +@@ -0,0 +1 @@ ++lngamma-and-doc +diff -Naurd mpfr-3.1.3-a/VERSION mpfr-3.1.3-b/VERSION +--- mpfr-3.1.3-a/VERSION 2015-06-19 19:55:09.000000000 +0000 ++++ mpfr-3.1.3-b/VERSION 2015-07-02 10:49:24.042113845 +0000 +@@ -1 +1 @@ +-3.1.3 ++3.1.3-p1 +diff -Naurd mpfr-3.1.3-a/doc/mpfr.texi mpfr-3.1.3-b/doc/mpfr.texi +--- mpfr-3.1.3-a/doc/mpfr.texi 2015-06-19 19:55:11.000000000 +0000 ++++ mpfr-3.1.3-b/doc/mpfr.texi 2015-07-02 10:49:24.018113593 +0000 +@@ -810,13 +810,17 @@ + When the input point is in the closure of the domain of the mathematical + function and an input argument is +0 (resp.@: @minus{}0), one considers + the limit when the corresponding argument approaches 0 from above +-(resp.@: below). If the limit is not defined (e.g., @code{mpfr_log} on +-@minus{}0), the behavior is specified in the description of the MPFR function. ++(resp.@: below), if possible. If the limit is not defined (e.g., ++@code{mpfr_sqrt} and @code{mpfr_log} on @minus{}0), the behavior is ++specified in the description of the MPFR function, but must be consistent ++with the rule from the above paragraph (e.g., @code{mpfr_log} on @pom{}0 ++gives @minus{}Inf). + + When the result is equal to 0, its sign is determined by considering the + limit as if the input point were not in the domain: If one approaches 0 + from above (resp.@: below), the result is +0 (resp.@: @minus{}0); +-for example, @code{mpfr_sin} on +0 gives +0. ++for example, @code{mpfr_sin} on @minus{}0 gives @minus{}0 and ++@code{mpfr_acos} on 1 gives +0 (in all rounding modes). + In the other cases, the sign is specified in the description of the MPFR + function; for example @code{mpfr_max} on @minus{}0 and +0 gives +0. + +@@ -832,8 +836,8 @@ + @c that advantages in practice), like for any bug fix. + Example: @code{mpfr_hypot} on (NaN,0) gives NaN, but @code{mpfr_hypot} + on (NaN,+Inf) gives +Inf (as specified in @ref{Special Functions}), +-since for any finite input @var{x}, @code{mpfr_hypot} on (@var{x},+Inf) +-gives +Inf. ++since for any finite or infinite input @var{x}, @code{mpfr_hypot} on ++(@var{x},+Inf) gives +Inf. + + @node Exceptions, Memory Handling, Floating-Point Values on Special Numbers, MPFR Basics + @comment node-name, next, previous, up +@@ -1581,7 +1585,8 @@ + @deftypefunx int mpfr_add_z (mpfr_t @var{rop}, mpfr_t @var{op1}, mpz_t @var{op2}, mpfr_rnd_t @var{rnd}) + @deftypefunx int mpfr_add_q (mpfr_t @var{rop}, mpfr_t @var{op1}, mpq_t @var{op2}, mpfr_rnd_t @var{rnd}) + Set @var{rop} to @math{@var{op1} + @var{op2}} rounded in the direction +-@var{rnd}. For types having no signed zero, it is considered unsigned ++@var{rnd}. The IEEE-754 rules are used, in particular for signed zeros. ++But for types having no signed zeros, 0 is considered unsigned + (i.e., (+0) + 0 = (+0) and (@minus{}0) + 0 = (@minus{}0)). + The @code{mpfr_add_d} function assumes that the radix of the @code{double} type + is a power of 2, with a precision at most that declared by the C implementation +@@ -1599,7 +1604,8 @@ + @deftypefunx int mpfr_sub_z (mpfr_t @var{rop}, mpfr_t @var{op1}, mpz_t @var{op2}, mpfr_rnd_t @var{rnd}) + @deftypefunx int mpfr_sub_q (mpfr_t @var{rop}, mpfr_t @var{op1}, mpq_t @var{op2}, mpfr_rnd_t @var{rnd}) + Set @var{rop} to @math{@var{op1} - @var{op2}} rounded in the direction +-@var{rnd}. For types having no signed zero, it is considered unsigned ++@var{rnd}. The IEEE-754 rules are used, in particular for signed zeros. ++But for types having no signed zeros, 0 is considered unsigned + (i.e., (+0) @minus{} 0 = (+0), (@minus{}0) @minus{} 0 = (@minus{}0), + 0 @minus{} (+0) = (@minus{}0) and 0 @minus{} (@minus{}0) = (+0)). + The same restrictions than for @code{mpfr_add_d} apply to @code{mpfr_d_sub} +@@ -1615,7 +1621,7 @@ + Set @var{rop} to @math{@var{op1} @GMPtimes{} @var{op2}} rounded in the + direction @var{rnd}. + When a result is zero, its sign is the product of the signs of the operands +-(for types having no signed zero, it is considered positive). ++(for types having no signed zeros, 0 is considered positive). + The same restrictions than for @code{mpfr_add_d} apply to @code{mpfr_mul_d}. + @end deftypefun + +@@ -1635,7 +1641,7 @@ + @deftypefunx int mpfr_div_q (mpfr_t @var{rop}, mpfr_t @var{op1}, mpq_t @var{op2}, mpfr_rnd_t @var{rnd}) + Set @var{rop} to @math{@var{op1}/@var{op2}} rounded in the direction @var{rnd}. + When a result is zero, its sign is the product of the signs of the operands +-(for types having no signed zero, it is considered positive). ++(for types having no signed zeros, 0 is considered positive). + The same restrictions than for @code{mpfr_add_d} apply to @code{mpfr_d_div} + and @code{mpfr_div_d}. + @end deftypefun +@@ -1643,15 +1649,18 @@ + @deftypefun int mpfr_sqrt (mpfr_t @var{rop}, mpfr_t @var{op}, mpfr_rnd_t @var{rnd}) + @deftypefunx int mpfr_sqrt_ui (mpfr_t @var{rop}, unsigned long int @var{op}, mpfr_rnd_t @var{rnd}) + Set @var{rop} to @m{\sqrt{@var{op}}, the square root of @var{op}} +-rounded in the direction @var{rnd} (set @var{rop} to @minus{}0 if @var{op} is +-@minus{}0, to be consistent with the IEEE 754 standard). ++rounded in the direction @var{rnd}. Set @var{rop} to @minus{}0 if ++@var{op} is @minus{}0, to be consistent with the IEEE 754 standard. + Set @var{rop} to NaN if @var{op} is negative. + @end deftypefun + + @deftypefun int mpfr_rec_sqrt (mpfr_t @var{rop}, mpfr_t @var{op}, mpfr_rnd_t @var{rnd}) + Set @var{rop} to @m{1/\sqrt{@var{op}}, the reciprocal square root of @var{op}} +-rounded in the direction @var{rnd}. Set @var{rop} to +Inf if @var{op} is +-@pom{}0, +0 if @var{op} is +Inf, and NaN if @var{op} is negative. ++rounded in the direction @var{rnd}. Set @var{rop} to +Inf if @var{op} is ++@pom{}0, +0 if @var{op} is +Inf, and NaN if @var{op} is negative. Warning! ++Therefore the result on @minus{}0 is different from the one of the rSqrt ++function recommended by the IEEE 754-2008 standard (Section 9.2.1), which ++is @minus{}Inf instead of +Inf. + @end deftypefun + + @deftypefun int mpfr_cbrt (mpfr_t @var{rop}, mpfr_t @var{op}, mpfr_rnd_t @var{rnd}) +@@ -1832,7 +1841,9 @@ + @m{\log_2 @var{op}, log2(@var{op})} or + @m{\log_{10} @var{op}, log10(@var{op})}, respectively, + rounded in the direction @var{rnd}. +-Set @var{rop} to @minus{}Inf if @var{op} is @minus{}0 ++Set @var{rop} to +0 if @var{op} is 1 (in all rounding modes), ++for consistency with the ISO C99 and IEEE 754-2008 standards. ++Set @var{rop} to @minus{}Inf if @var{op} is @pom{}0 + (i.e., the sign of the zero has no influence on the result). + @end deftypefun + +@@ -2003,8 +2014,11 @@ + @deftypefun int mpfr_lngamma (mpfr_t @var{rop}, mpfr_t @var{op}, mpfr_rnd_t @var{rnd}) + Set @var{rop} to the value of the logarithm of the Gamma function on @var{op}, + rounded in the direction @var{rnd}. +-When @math{@minus{}2@var{k}@minus{}1 @le{} @var{op} @le{} @minus{}2@var{k}}, +-@var{k} being a non-negative integer, @var{rop} is set to NaN. ++When @var{op} is 1 or 2, set @var{rop} to +0 (in all rounding modes). ++When @var{op} is an infinity or a nonpositive integer, set @var{rop} to +Inf, ++following the general rules on special values. ++When @math{@minus{}2@var{k}@minus{}1 < @var{op} < @minus{}2@var{k}}, ++@var{k} being a nonnegative integer, set @var{rop} to NaN@. + See also @code{mpfr_lgamma}. + @end deftypefun + +@@ -2012,10 +2026,11 @@ + Set @var{rop} to the value of the logarithm of the absolute value of the + Gamma function on @var{op}, rounded in the direction @var{rnd}. The sign + (1 or @minus{}1) of Gamma(@var{op}) is returned in the object pointed to +-by @var{signp}. When @var{op} is an infinity or a non-positive integer, set +-@var{rop} to +Inf. When @var{op} is NaN, @minus{}Inf or a negative integer, +-*@var{signp} is undefined, and when @var{op} is @pom{}0, *@var{signp} is +-the sign of the zero. ++by @var{signp}. ++When @var{op} is 1 or 2, set @var{rop} to +0 (in all rounding modes). ++When @var{op} is an infinity or a nonpositive integer, set @var{rop} to +Inf. ++When @var{op} is NaN, @minus{}Inf or a negative integer, *@var{signp} is ++undefined, and when @var{op} is @pom{}0, *@var{signp} is the sign of the zero. + @end deftypefun + + @deftypefun int mpfr_digamma (mpfr_t @var{rop}, mpfr_t @var{op}, mpfr_rnd_t @var{rnd}) +@@ -2064,7 +2079,10 @@ + @deftypefunx int mpfr_fms (mpfr_t @var{rop}, mpfr_t @var{op1}, mpfr_t @var{op2}, mpfr_t @var{op3}, mpfr_rnd_t @var{rnd}) + Set @var{rop} to @math{(@var{op1} @GMPtimes{} @var{op2}) + @var{op3}} + (resp.@: @math{(@var{op1} @GMPtimes{} @var{op2}) - @var{op3}}) +-rounded in the direction @var{rnd}. ++rounded in the direction @var{rnd}. Concerning special values (signed zeros, ++infinities, NaN), these functions behave like a multiplication followed by a ++separate addition or subtraction. That is, the fused operation matters only ++for rounding. + @end deftypefun + + @deftypefun int mpfr_agm (mpfr_t @var{rop}, mpfr_t @var{op1}, mpfr_t @var{op2}, mpfr_rnd_t @var{rnd}) +@@ -2089,8 +2107,8 @@ + i.e., $\sqrt{x^2+y^2}$, + @end tex + rounded in the direction @var{rnd}. +-Special values are handled as described in Section F.9.4.3 of +-the ISO C99 and IEEE 754-2008 standards: ++Special values are handled as described in the ISO C99 (Section F.9.4.3) ++and IEEE 754-2008 (Section 9.2.1) standards: + If @var{x} or @var{y} is an infinity, then +Inf is returned in @var{rop}, + even if the other number is NaN. + @end deftypefun +diff -Naurd mpfr-3.1.3-a/doc/mpfr.info mpfr-3.1.3-b/doc/mpfr.info +--- mpfr-3.1.3-a/doc/mpfr.info 2015-06-19 19:55:53.000000000 +0000 ++++ mpfr-3.1.3-b/doc/mpfr.info 2015-07-02 10:49:38.718267817 +0000 +@@ -1,4 +1,4 @@ +-This is mpfr.info, produced by makeinfo version 5.2 from mpfr.texi. ++This is mpfr.info, produced by makeinfo version 6.0 from mpfr.texi. + + This manual documents how to install and use the Multiple Precision + Floating-Point Reliable Library, version 3.1.3. +@@ -55,7 +55,7 @@ + MPFR Copying Conditions + *********************** + +-The GNU MPFR library (or MPFR for short) is "free"; this means that ++The GNU MPFR library (or MPFR for short) is “free”; this means that + everyone is free to use it and free to redistribute it on a free basis. + The library is not in the public domain; it is copyrighted and there are + restrictions on its distribution, but these restrictions are designed to +@@ -418,7 +418,7 @@ + 4.2 Nomenclature and Types + ========================== + +-A "floating-point number", or "float" for short, is an arbitrary ++A “floating-point number”, or “float” for short, is an arbitrary + precision significand (also called mantissa) with a limited precision + exponent. The C data type for such objects is ‘mpfr_t’ (internally + defined as a one-element array of a structure, and ‘mpfr_ptr’ is the C +@@ -432,7 +432,7 @@ + to the other functions supported by MPFR. Unless documented otherwise, + the sign bit of a NaN is unspecified. + +-The "precision" is the number of bits used to represent the significand ++The “precision” is the number of bits used to represent the significand + of a floating-point number; the corresponding C data type is + ‘mpfr_prec_t’. The precision can be any integer between ‘MPFR_PREC_MIN’ + and ‘MPFR_PREC_MAX’. In the current implementation, ‘MPFR_PREC_MIN’ is +@@ -446,7 +446,7 @@ + may abort, crash or have undefined behavior (depending on your C + implementation). + +-The "rounding mode" specifies the way to round the result of a ++The “rounding mode” specifies the way to round the result of a + floating-point operation, in case the exact result can not be + represented exactly in the destination significand; the corresponding C + data type is ‘mpfr_rnd_t’. +@@ -499,14 +499,14 @@ + representable numbers, it is rounded to the one with the least + significant bit set to zero. For example, the number 2.5, which is + represented by (10.1) in binary, is rounded to (10.0)=2 with a precision +-of two bits, and not to (11.0)=3. This rule avoids the "drift" ++of two bits, and not to (11.0)=3. This rule avoids the “drift” + phenomenon mentioned by Knuth in volume 2 of The Art of Computer + Programming (Section 4.2.2). + + Most MPFR functions take as first argument the destination variable, + as second and following arguments the input variables, as last argument + a rounding mode, and have a return value of type ‘int’, called the +-"ternary value". The value stored in the destination variable is ++“ternary value”. The value stored in the destination variable is + correctly rounded, i.e., MPFR behaves as if it computed the result with + an infinite precision, then rounded it to the precision of this + variable. The input variables are regarded as exact (in particular, +@@ -572,15 +572,18 @@ + When the input point is in the closure of the domain of the + mathematical function and an input argument is +0 (resp. −0), one + considers the limit when the corresponding argument approaches 0 from +-above (resp. below). If the limit is not defined (e.g., ‘mpfr_log’ on +-−0), the behavior is specified in the description of the MPFR function. ++above (resp. below), if possible. If the limit is not defined (e.g., ++‘mpfr_sqrt’ and ‘mpfr_log’ on −0), the behavior is specified in the ++description of the MPFR function, but must be consistent with the rule ++from the above paragraph (e.g., ‘mpfr_log’ on ±0 gives −Inf). + + When the result is equal to 0, its sign is determined by considering + the limit as if the input point were not in the domain: If one + approaches 0 from above (resp. below), the result is +0 (resp. −0); for +-example, ‘mpfr_sin’ on +0 gives +0. In the other cases, the sign is +-specified in the description of the MPFR function; for example +-‘mpfr_max’ on −0 and +0 gives +0. ++example, ‘mpfr_sin’ on −0 gives −0 and ‘mpfr_acos’ on 1 gives +0 (in all ++rounding modes). In the other cases, the sign is specified in the ++description of the MPFR function; for example ‘mpfr_max’ on −0 and +0 ++gives +0. + + When the input point is not in the closure of the domain of the + function, the result is NaN. Example: ‘mpfr_sqrt’ on −17 gives NaN. +@@ -590,8 +593,8 @@ + numbers; such a case is always explicitly specified in *note MPFR + Interface::. Example: ‘mpfr_hypot’ on (NaN,0) gives NaN, but + ‘mpfr_hypot’ on (NaN,+Inf) gives +Inf (as specified in *note Special +-Functions::), since for any finite input X, ‘mpfr_hypot’ on (X,+Inf) +-gives +Inf. ++Functions::), since for any finite or infinite input X, ‘mpfr_hypot’ on ++(X,+Inf) gives +Inf. + + + File: mpfr.info, Node: Exceptions, Next: Memory Handling, Prev: Floating-Point Values on Special Numbers, Up: MPFR Basics +@@ -1253,8 +1256,9 @@ + mpfr_rnd_t RND) + -- Function: int mpfr_add_q (mpfr_t ROP, mpfr_t OP1, mpq_t OP2, + mpfr_rnd_t RND) +- Set ROP to OP1 + OP2 rounded in the direction RND. For types +- having no signed zero, it is considered unsigned (i.e., (+0) + 0 = ++ Set ROP to OP1 + OP2 rounded in the direction RND. The IEEE-754 ++ rules are used, in particular for signed zeros. But for types ++ having no signed zeros, 0 is considered unsigned (i.e., (+0) + 0 = + (+0) and (−0) + 0 = (−0)). The ‘mpfr_add_d’ function assumes that + the radix of the ‘double’ type is a power of 2, with a precision at + most that declared by the C implementation (macro +@@ -1280,8 +1284,9 @@ + mpfr_rnd_t RND) + -- Function: int mpfr_sub_q (mpfr_t ROP, mpfr_t OP1, mpq_t OP2, + mpfr_rnd_t RND) +- Set ROP to OP1 - OP2 rounded in the direction RND. For types +- having no signed zero, it is considered unsigned (i.e., (+0) − 0 = ++ Set ROP to OP1 - OP2 rounded in the direction RND. The IEEE-754 ++ rules are used, in particular for signed zeros. But for types ++ having no signed zeros, 0 is considered unsigned (i.e., (+0) − 0 = + (+0), (−0) − 0 = (−0), 0 − (+0) = (−0) and 0 − (−0) = (+0)). The + same restrictions than for ‘mpfr_add_d’ apply to ‘mpfr_d_sub’ and + ‘mpfr_sub_d’. +@@ -1300,7 +1305,7 @@ + mpfr_rnd_t RND) + Set ROP to OP1 times OP2 rounded in the direction RND. When a + result is zero, its sign is the product of the signs of the +- operands (for types having no signed zero, it is considered ++ operands (for types having no signed zeros, 0 is considered + positive). The same restrictions than for ‘mpfr_add_d’ apply to + ‘mpfr_mul_d’. + +@@ -1327,21 +1332,24 @@ + mpfr_rnd_t RND) + Set ROP to OP1/OP2 rounded in the direction RND. When a result is + zero, its sign is the product of the signs of the operands (for +- types having no signed zero, it is considered positive). The same ++ types having no signed zeros, 0 is considered positive). The same + restrictions than for ‘mpfr_add_d’ apply to ‘mpfr_d_div’ and + ‘mpfr_div_d’. + + -- Function: int mpfr_sqrt (mpfr_t ROP, mpfr_t OP, mpfr_rnd_t RND) + -- Function: int mpfr_sqrt_ui (mpfr_t ROP, unsigned long int OP, + mpfr_rnd_t RND) +- Set ROP to the square root of OP rounded in the direction RND (set +- ROP to −0 if OP is −0, to be consistent with the IEEE 754 +- standard). Set ROP to NaN if OP is negative. ++ Set ROP to the square root of OP rounded in the direction RND. Set ++ ROP to −0 if OP is −0, to be consistent with the IEEE 754 standard. ++ Set ROP to NaN if OP is negative. + + -- Function: int mpfr_rec_sqrt (mpfr_t ROP, mpfr_t OP, mpfr_rnd_t RND) + Set ROP to the reciprocal square root of OP rounded in the + direction RND. Set ROP to +Inf if OP is ±0, +0 if OP is +Inf, and +- NaN if OP is negative. ++ NaN if OP is negative. Warning! Therefore the result on −0 is ++ different from the one of the rSqrt function recommended by the ++ IEEE 754-2008 standard (Section 9.2.1), which is −Inf instead of ++ +Inf. + + -- Function: int mpfr_cbrt (mpfr_t ROP, mpfr_t OP, mpfr_rnd_t RND) + -- Function: int mpfr_root (mpfr_t ROP, mpfr_t OP, unsigned long int K, +@@ -1515,8 +1523,10 @@ + -- Function: int mpfr_log2 (mpfr_t ROP, mpfr_t OP, mpfr_rnd_t RND) + -- Function: int mpfr_log10 (mpfr_t ROP, mpfr_t OP, mpfr_rnd_t RND) + Set ROP to the natural logarithm of OP, log2(OP) or log10(OP), +- respectively, rounded in the direction RND. Set ROP to −Inf if OP +- is −0 (i.e., the sign of the zero has no influence on the result). ++ respectively, rounded in the direction RND. Set ROP to +0 if OP is ++ 1 (in all rounding modes), for consistency with the ISO C99 and ++ IEEE 754-2008 standards. Set ROP to −Inf if OP is ±0 (i.e., the ++ sign of the zero has no influence on the result). + + -- Function: int mpfr_exp (mpfr_t ROP, mpfr_t OP, mpfr_rnd_t RND) + -- Function: int mpfr_exp2 (mpfr_t ROP, mpfr_t OP, mpfr_rnd_t RND) +@@ -1649,17 +1659,21 @@ + + -- Function: int mpfr_lngamma (mpfr_t ROP, mpfr_t OP, mpfr_rnd_t RND) + Set ROP to the value of the logarithm of the Gamma function on OP, +- rounded in the direction RND. When −2K−1 <= OP <= −2K, K being a +- non-negative integer, ROP is set to NaN. See also ‘mpfr_lgamma’. ++ rounded in the direction RND. When OP is 1 or 2, set ROP to +0 (in ++ all rounding modes). When OP is an infinity or a nonpositive ++ integer, set ROP to +Inf, following the general rules on special ++ values. When −2K−1 < OP < −2K, K being a nonnegative integer, set ++ ROP to NaN. See also ‘mpfr_lgamma’. + + -- Function: int mpfr_lgamma (mpfr_t ROP, int *SIGNP, mpfr_t OP, + mpfr_rnd_t RND) + Set ROP to the value of the logarithm of the absolute value of the + Gamma function on OP, rounded in the direction RND. The sign (1 or + −1) of Gamma(OP) is returned in the object pointed to by SIGNP. +- When OP is an infinity or a non-positive integer, set ROP to +Inf. +- When OP is NaN, −Inf or a negative integer, *SIGNP is undefined, +- and when OP is ±0, *SIGNP is the sign of the zero. ++ When OP is 1 or 2, set ROP to +0 (in all rounding modes). When OP ++ is an infinity or a nonpositive integer, set ROP to +Inf. When OP ++ is NaN, −Inf or a negative integer, *SIGNP is undefined, and when ++ OP is ±0, *SIGNP is the sign of the zero. + + -- Function: int mpfr_digamma (mpfr_t ROP, mpfr_t OP, mpfr_rnd_t RND) + Set ROP to the value of the Digamma (sometimes also called Psi) +@@ -1703,7 +1717,10 @@ + -- Function: int mpfr_fms (mpfr_t ROP, mpfr_t OP1, mpfr_t OP2, mpfr_t + OP3, mpfr_rnd_t RND) + Set ROP to (OP1 times OP2) + OP3 (resp. (OP1 times OP2) - OP3) +- rounded in the direction RND. ++ rounded in the direction RND. Concerning special values (signed ++ zeros, infinities, NaN), these functions behave like a ++ multiplication followed by a separate addition or subtraction. ++ That is, the fused operation matters only for rounding. + + -- Function: int mpfr_agm (mpfr_t ROP, mpfr_t OP1, mpfr_t OP2, + mpfr_rnd_t RND) +@@ -1717,9 +1734,10 @@ + RND) + Set ROP to the Euclidean norm of X and Y, i.e., the square root of + the sum of the squares of X and Y, rounded in the direction RND. +- Special values are handled as described in Section F.9.4.3 of the +- ISO C99 and IEEE 754-2008 standards: If X or Y is an infinity, then +- +Inf is returned in ROP, even if the other number is NaN. ++ Special values are handled as described in the ISO C99 (Section ++ F.9.4.3) and IEEE 754-2008 (Section 9.2.1) standards: If X or Y is ++ an infinity, then +Inf is returned in ROP, even if the other number ++ is NaN. + + -- Function: int mpfr_ai (mpfr_t ROP, mpfr_t X, mpfr_rnd_t RND) + Set ROP to the value of the Airy function Ai on X, rounded in the +@@ -2670,7 +2688,7 @@ + 5.16 Internals + ============== + +-A "limb" means the part of a multi-precision number that fits in a ++A “limb” means the part of a multi-precision number that fits in a + single word. Usually a limb contains 32 or 64 bits. The C data type + for a limb is ‘mp_limb_t’. + +@@ -3140,7 +3158,7 @@ + 0. PREAMBLE + + The purpose of this License is to make a manual, textbook, or other +- functional and useful document "free" in the sense of freedom: to ++ functional and useful document “free” in the sense of freedom: to + assure everyone the effective freedom to copy and redistribute it, + with or without modifying it, either commercially or + noncommercially. Secondarily, this License preserves for the +@@ -3655,9 +3673,9 @@ + * Menu: + + * mpfr_abs: Basic Arithmetic Functions. +- (line 160) +-* mpfr_acos: Special Functions. (line 51) +-* mpfr_acosh: Special Functions. (line 115) ++ (line 165) ++* mpfr_acos: Special Functions. (line 53) ++* mpfr_acosh: Special Functions. (line 117) + * mpfr_add: Basic Arithmetic Functions. + (line 6) + * mpfr_add_d: Basic Arithmetic Functions. +@@ -3670,15 +3688,15 @@ + (line 8) + * mpfr_add_z: Basic Arithmetic Functions. + (line 14) +-* mpfr_agm: Special Functions. (line 210) +-* mpfr_ai: Special Functions. (line 226) +-* mpfr_asin: Special Functions. (line 52) +-* mpfr_asinh: Special Functions. (line 116) ++* mpfr_agm: Special Functions. (line 219) ++* mpfr_ai: Special Functions. (line 236) ++* mpfr_asin: Special Functions. (line 54) ++* mpfr_asinh: Special Functions. (line 118) + * mpfr_asprintf: Formatted Output Functions. + (line 193) +-* mpfr_atan: Special Functions. (line 53) +-* mpfr_atan2: Special Functions. (line 63) +-* mpfr_atanh: Special Functions. (line 117) ++* mpfr_atan: Special Functions. (line 55) ++* mpfr_atan2: Special Functions. (line 65) ++* mpfr_atanh: Special Functions. (line 119) + * mpfr_buildopt_decimal_p: Miscellaneous Functions. + (line 162) + * mpfr_buildopt_gmpinternals_p: Miscellaneous Functions. +@@ -3690,7 +3708,7 @@ + * mpfr_can_round: Rounding Related Functions. + (line 39) + * mpfr_cbrt: Basic Arithmetic Functions. +- (line 108) ++ (line 113) + * mpfr_ceil: Integer Related Functions. + (line 7) + * mpfr_check_range: Exception Related Functions. +@@ -3735,18 +3753,18 @@ + (line 27) + * mpfr_cmp_z: Comparison Functions. + (line 11) +-* mpfr_const_catalan: Special Functions. (line 237) +-* mpfr_const_euler: Special Functions. (line 236) +-* mpfr_const_log2: Special Functions. (line 234) +-* mpfr_const_pi: Special Functions. (line 235) ++* mpfr_const_catalan: Special Functions. (line 247) ++* mpfr_const_euler: Special Functions. (line 246) ++* mpfr_const_log2: Special Functions. (line 244) ++* mpfr_const_pi: Special Functions. (line 245) + * mpfr_copysign: Miscellaneous Functions. + (line 109) +-* mpfr_cos: Special Functions. (line 29) +-* mpfr_cosh: Special Functions. (line 95) +-* mpfr_cot: Special Functions. (line 47) +-* mpfr_coth: Special Functions. (line 111) +-* mpfr_csc: Special Functions. (line 46) +-* mpfr_csch: Special Functions. (line 110) ++* mpfr_cos: Special Functions. (line 31) ++* mpfr_cosh: Special Functions. (line 97) ++* mpfr_cot: Special Functions. (line 49) ++* mpfr_coth: Special Functions. (line 113) ++* mpfr_csc: Special Functions. (line 48) ++* mpfr_csch: Special Functions. (line 112) + * mpfr_custom_get_exp: Custom Interface. (line 75) + * mpfr_custom_get_kind: Custom Interface. (line 65) + * mpfr_custom_get_significand: Custom Interface. (line 70) +@@ -3756,47 +3774,47 @@ + * mpfr_custom_move: Custom Interface. (line 82) + * MPFR_DECL_INIT: Initialization Functions. + (line 74) +-* mpfr_digamma: Special Functions. (line 166) ++* mpfr_digamma: Special Functions. (line 172) + * mpfr_dim: Basic Arithmetic Functions. +- (line 166) ++ (line 171) + * mpfr_div: Basic Arithmetic Functions. +- (line 72) ++ (line 74) + * mpfr_divby0_p: Exception Related Functions. + (line 134) + * mpfr_div_2exp: Compatibility with MPF. + (line 49) + * mpfr_div_2si: Basic Arithmetic Functions. +- (line 181) ++ (line 186) + * mpfr_div_2ui: Basic Arithmetic Functions. +- (line 179) ++ (line 184) + * mpfr_div_d: Basic Arithmetic Functions. +- (line 84) ++ (line 86) + * mpfr_div_q: Basic Arithmetic Functions. +- (line 88) ++ (line 90) + * mpfr_div_si: Basic Arithmetic Functions. +- (line 80) ++ (line 82) + * mpfr_div_ui: Basic Arithmetic Functions. +- (line 76) ++ (line 78) + * mpfr_div_z: Basic Arithmetic Functions. +- (line 86) ++ (line 88) + * mpfr_d_div: Basic Arithmetic Functions. +- (line 82) ++ (line 84) + * mpfr_d_sub: Basic Arithmetic Functions. +- (line 35) +-* mpfr_eint: Special Functions. (line 133) ++ (line 36) ++* mpfr_eint: Special Functions. (line 135) + * mpfr_eq: Compatibility with MPF. + (line 28) + * mpfr_equal_p: Comparison Functions. + (line 59) + * mpfr_erangeflag_p: Exception Related Functions. + (line 137) +-* mpfr_erf: Special Functions. (line 177) +-* mpfr_erfc: Special Functions. (line 178) +-* mpfr_exp: Special Functions. (line 23) +-* mpfr_exp10: Special Functions. (line 25) +-* mpfr_exp2: Special Functions. (line 24) +-* mpfr_expm1: Special Functions. (line 129) +-* mpfr_fac_ui: Special Functions. (line 121) ++* mpfr_erf: Special Functions. (line 183) ++* mpfr_erfc: Special Functions. (line 184) ++* mpfr_exp: Special Functions. (line 25) ++* mpfr_exp10: Special Functions. (line 27) ++* mpfr_exp2: Special Functions. (line 26) ++* mpfr_expm1: Special Functions. (line 131) ++* mpfr_fac_ui: Special Functions. (line 123) + * mpfr_fits_intmax_p: Conversion Functions. + (line 150) + * mpfr_fits_sint_p: Conversion Functions. +@@ -3815,20 +3833,20 @@ + (line 147) + * mpfr_floor: Integer Related Functions. + (line 8) +-* mpfr_fma: Special Functions. (line 203) ++* mpfr_fma: Special Functions. (line 209) + * mpfr_fmod: Integer Related Functions. + (line 92) +-* mpfr_fms: Special Functions. (line 205) ++* mpfr_fms: Special Functions. (line 211) + * mpfr_fprintf: Formatted Output Functions. + (line 157) + * mpfr_frac: Integer Related Functions. + (line 76) +-* mpfr_free_cache: Special Functions. (line 244) ++* mpfr_free_cache: Special Functions. (line 254) + * mpfr_free_str: Conversion Functions. + (line 137) + * mpfr_frexp: Conversion Functions. + (line 45) +-* mpfr_gamma: Special Functions. (line 148) ++* mpfr_gamma: Special Functions. (line 150) + * mpfr_get_d: Conversion Functions. + (line 7) + * mpfr_get_decimal64: Conversion Functions. +@@ -3887,7 +3905,7 @@ + (line 56) + * mpfr_greater_p: Comparison Functions. + (line 55) +-* mpfr_hypot: Special Functions. (line 218) ++* mpfr_hypot: Special Functions. (line 227) + * mpfr_inexflag_p: Exception Related Functions. + (line 136) + * mpfr_inf_p: Comparison Functions. +@@ -3922,21 +3940,21 @@ + (line 31) + * mpfr_integer_p: Integer Related Functions. + (line 119) +-* mpfr_j0: Special Functions. (line 182) +-* mpfr_j1: Special Functions. (line 183) +-* mpfr_jn: Special Functions. (line 184) ++* mpfr_j0: Special Functions. (line 188) ++* mpfr_j1: Special Functions. (line 189) ++* mpfr_jn: Special Functions. (line 190) + * mpfr_lessequal_p: Comparison Functions. + (line 58) + * mpfr_lessgreater_p: Comparison Functions. + (line 64) + * mpfr_less_p: Comparison Functions. + (line 57) +-* mpfr_lgamma: Special Functions. (line 157) +-* mpfr_li2: Special Functions. (line 143) +-* mpfr_lngamma: Special Functions. (line 152) ++* mpfr_lgamma: Special Functions. (line 162) ++* mpfr_li2: Special Functions. (line 145) ++* mpfr_lngamma: Special Functions. (line 154) + * mpfr_log: Special Functions. (line 16) + * mpfr_log10: Special Functions. (line 18) +-* mpfr_log1p: Special Functions. (line 125) ++* mpfr_log1p: Special Functions. (line 127) + * mpfr_log2: Special Functions. (line 17) + * mpfr_max: Miscellaneous Functions. + (line 22) +@@ -3947,29 +3965,29 @@ + * mpfr_modf: Integer Related Functions. + (line 82) + * mpfr_mul: Basic Arithmetic Functions. +- (line 51) ++ (line 53) + * mpfr_mul_2exp: Compatibility with MPF. + (line 47) + * mpfr_mul_2si: Basic Arithmetic Functions. +- (line 174) ++ (line 179) + * mpfr_mul_2ui: Basic Arithmetic Functions. +- (line 172) ++ (line 177) + * mpfr_mul_d: Basic Arithmetic Functions. +- (line 57) ++ (line 59) + * mpfr_mul_q: Basic Arithmetic Functions. +- (line 61) ++ (line 63) + * mpfr_mul_si: Basic Arithmetic Functions. +- (line 55) ++ (line 57) + * mpfr_mul_ui: Basic Arithmetic Functions. +- (line 53) ++ (line 55) + * mpfr_mul_z: Basic Arithmetic Functions. +- (line 59) ++ (line 61) + * mpfr_nanflag_p: Exception Related Functions. + (line 135) + * mpfr_nan_p: Comparison Functions. + (line 39) + * mpfr_neg: Basic Arithmetic Functions. +- (line 159) ++ (line 164) + * mpfr_nextabove: Miscellaneous Functions. + (line 15) + * mpfr_nextbelow: Miscellaneous Functions. +@@ -3983,13 +4001,13 @@ + * mpfr_overflow_p: Exception Related Functions. + (line 133) + * mpfr_pow: Basic Arithmetic Functions. +- (line 116) ++ (line 121) + * mpfr_pow_si: Basic Arithmetic Functions. +- (line 120) ++ (line 125) + * mpfr_pow_ui: Basic Arithmetic Functions. +- (line 118) ++ (line 123) + * mpfr_pow_z: Basic Arithmetic Functions. +- (line 122) ++ (line 127) + * mpfr_prec_round: Rounding Related Functions. + (line 13) + * ‘mpfr_prec_t’: Nomenclature and Types. +@@ -3999,7 +4017,7 @@ + * mpfr_print_rnd_mode: Rounding Related Functions. + (line 71) + * mpfr_rec_sqrt: Basic Arithmetic Functions. +- (line 103) ++ (line 105) + * mpfr_regular_p: Comparison Functions. + (line 43) + * mpfr_reldiff: Compatibility with MPF. +@@ -4021,11 +4039,11 @@ + * ‘mpfr_rnd_t’: Nomenclature and Types. + (line 34) + * mpfr_root: Basic Arithmetic Functions. +- (line 109) ++ (line 114) + * mpfr_round: Integer Related Functions. + (line 9) +-* mpfr_sec: Special Functions. (line 45) +-* mpfr_sech: Special Functions. (line 109) ++* mpfr_sec: Special Functions. (line 47) ++* mpfr_sech: Special Functions. (line 111) + * mpfr_set: Assignment Functions. + (line 9) + * mpfr_setsign: Miscellaneous Functions. +@@ -4100,57 +4118,57 @@ + (line 49) + * mpfr_signbit: Miscellaneous Functions. + (line 99) +-* mpfr_sin: Special Functions. (line 30) +-* mpfr_sinh: Special Functions. (line 96) +-* mpfr_sinh_cosh: Special Functions. (line 101) +-* mpfr_sin_cos: Special Functions. (line 35) ++* mpfr_sin: Special Functions. (line 32) ++* mpfr_sinh: Special Functions. (line 98) ++* mpfr_sinh_cosh: Special Functions. (line 103) ++* mpfr_sin_cos: Special Functions. (line 37) + * mpfr_si_div: Basic Arithmetic Functions. +- (line 78) ++ (line 80) + * mpfr_si_sub: Basic Arithmetic Functions. +- (line 31) ++ (line 32) + * mpfr_snprintf: Formatted Output Functions. + (line 180) + * mpfr_sprintf: Formatted Output Functions. + (line 170) + * mpfr_sqr: Basic Arithmetic Functions. +- (line 69) ++ (line 71) + * mpfr_sqrt: Basic Arithmetic Functions. +- (line 96) ++ (line 98) + * mpfr_sqrt_ui: Basic Arithmetic Functions. +- (line 97) ++ (line 99) + * mpfr_strtofr: Assignment Functions. + (line 80) + * mpfr_sub: Basic Arithmetic Functions. +- (line 25) ++ (line 26) + * mpfr_subnormalize: Exception Related Functions. + (line 60) + * mpfr_sub_d: Basic Arithmetic Functions. +- (line 37) ++ (line 38) + * mpfr_sub_q: Basic Arithmetic Functions. +- (line 43) ++ (line 44) + * mpfr_sub_si: Basic Arithmetic Functions. +- (line 33) ++ (line 34) + * mpfr_sub_ui: Basic Arithmetic Functions. +- (line 29) ++ (line 30) + * mpfr_sub_z: Basic Arithmetic Functions. +- (line 41) +-* mpfr_sum: Special Functions. (line 252) ++ (line 42) ++* mpfr_sum: Special Functions. (line 262) + * mpfr_swap: Assignment Functions. + (line 150) + * ‘mpfr_t’: Nomenclature and Types. + (line 6) +-* mpfr_tan: Special Functions. (line 31) +-* mpfr_tanh: Special Functions. (line 97) ++* mpfr_tan: Special Functions. (line 33) ++* mpfr_tanh: Special Functions. (line 99) + * mpfr_trunc: Integer Related Functions. + (line 10) + * mpfr_ui_div: Basic Arithmetic Functions. +- (line 74) ++ (line 76) + * mpfr_ui_pow: Basic Arithmetic Functions. +- (line 126) ++ (line 131) + * mpfr_ui_pow_ui: Basic Arithmetic Functions. +- (line 124) ++ (line 129) + * mpfr_ui_sub: Basic Arithmetic Functions. +- (line 27) ++ (line 28) + * mpfr_underflow_p: Exception Related Functions. + (line 132) + * mpfr_unordered_p: Comparison Functions. +@@ -4181,61 +4199,61 @@ + (line 182) + * mpfr_vsprintf: Formatted Output Functions. + (line 171) +-* mpfr_y0: Special Functions. (line 193) +-* mpfr_y1: Special Functions. (line 194) +-* mpfr_yn: Special Functions. (line 195) ++* mpfr_y0: Special Functions. (line 199) ++* mpfr_y1: Special Functions. (line 200) ++* mpfr_yn: Special Functions. (line 201) + * mpfr_zero_p: Comparison Functions. + (line 42) +-* mpfr_zeta: Special Functions. (line 171) +-* mpfr_zeta_ui: Special Functions. (line 172) ++* mpfr_zeta: Special Functions. (line 177) ++* mpfr_zeta_ui: Special Functions. (line 178) + * mpfr_z_sub: Basic Arithmetic Functions. +- (line 39) ++ (line 40) + + + + Tag Table: + Node: Top775 + Node: Copying2007 +-Node: Introduction to MPFR3766 +-Node: Installing MPFR5880 +-Node: Reporting Bugs11323 +-Node: MPFR Basics13353 +-Node: Headers and Libraries13669 +-Node: Nomenclature and Types16828 +-Node: MPFR Variable Conventions18874 +-Node: Rounding Modes20418 +-Ref: ternary value21544 +-Node: Floating-Point Values on Special Numbers23526 +-Node: Exceptions26572 +-Node: Memory Handling29749 +-Node: MPFR Interface30894 +-Node: Initialization Functions33008 +-Node: Assignment Functions40318 +-Node: Combined Initialization and Assignment Functions49673 +-Node: Conversion Functions50974 +-Node: Basic Arithmetic Functions60035 +-Node: Comparison Functions69200 +-Node: Special Functions72687 +-Node: Input and Output Functions86672 +-Node: Formatted Output Functions88644 +-Node: Integer Related Functions98431 +-Node: Rounding Related Functions105051 +-Node: Miscellaneous Functions108888 +-Node: Exception Related Functions117568 +-Node: Compatibility with MPF124386 +-Node: Custom Interface127127 +-Node: Internals131526 +-Node: API Compatibility133066 +-Node: Type and Macro Changes134995 +-Node: Added Functions137844 +-Node: Changed Functions141132 +-Node: Removed Functions145545 +-Node: Other Changes145973 +-Node: Contributors147576 +-Node: References150219 +-Node: GNU Free Documentation License151973 +-Node: Concept Index174562 +-Node: Function and Type Index180659 ++Node: Introduction to MPFR3770 ++Node: Installing MPFR5884 ++Node: Reporting Bugs11327 ++Node: MPFR Basics13357 ++Node: Headers and Libraries13673 ++Node: Nomenclature and Types16832 ++Node: MPFR Variable Conventions18894 ++Node: Rounding Modes20438 ++Ref: ternary value21568 ++Node: Floating-Point Values on Special Numbers23554 ++Node: Exceptions26813 ++Node: Memory Handling29990 ++Node: MPFR Interface31135 ++Node: Initialization Functions33249 ++Node: Assignment Functions40559 ++Node: Combined Initialization and Assignment Functions49914 ++Node: Conversion Functions51215 ++Node: Basic Arithmetic Functions60276 ++Node: Comparison Functions69777 ++Node: Special Functions73264 ++Node: Input and Output Functions87862 ++Node: Formatted Output Functions89834 ++Node: Integer Related Functions99621 ++Node: Rounding Related Functions106241 ++Node: Miscellaneous Functions110078 ++Node: Exception Related Functions118758 ++Node: Compatibility with MPF125576 ++Node: Custom Interface128317 ++Node: Internals132716 ++Node: API Compatibility134260 ++Node: Type and Macro Changes136189 ++Node: Added Functions139038 ++Node: Changed Functions142326 ++Node: Removed Functions146739 ++Node: Other Changes147167 ++Node: Contributors148770 ++Node: References151413 ++Node: GNU Free Documentation License153167 ++Node: Concept Index175760 ++Node: Function and Type Index181857 + + End Tag Table + +diff -Naurd mpfr-3.1.3-a/src/lngamma.c mpfr-3.1.3-b/src/lngamma.c +--- mpfr-3.1.3-a/src/lngamma.c 2015-06-19 19:55:10.000000000 +0000 ++++ mpfr-3.1.3-b/src/lngamma.c 2015-07-02 10:49:24.018113593 +0000 +@@ -603,16 +603,17 @@ + mpfr_get_prec (y), mpfr_log_prec, y, inex)); + + /* special cases */ +- if (MPFR_UNLIKELY (MPFR_IS_SINGULAR (x))) ++ if (MPFR_UNLIKELY (MPFR_IS_SINGULAR (x) || ++ (MPFR_IS_NEG (x) && mpfr_integer_p (x)))) + { +- if (MPFR_IS_NAN (x) || MPFR_IS_NEG (x)) ++ if (MPFR_IS_NAN (x)) + { + MPFR_SET_NAN (y); + MPFR_RET_NAN; + } +- else /* lngamma(+Inf) = lngamma(+0) = +Inf */ ++ else /* lngamma(+/-Inf) = lngamma(nonpositive integer) = +Inf */ + { +- if (MPFR_IS_ZERO (x)) ++ if (!MPFR_IS_INF (x)) + mpfr_set_divby0 (); + MPFR_SET_INF (y); + MPFR_SET_POS (y); +@@ -620,8 +621,8 @@ + } + } + +- /* if x < 0 and -2k-1 <= x <= -2k, then lngamma(x) = NaN */ +- if (MPFR_IS_NEG (x) && (unit_bit (x) == 0 || mpfr_integer_p (x))) ++ /* if -2k-1 < x < -2k <= 0, then lngamma(x) = NaN */ ++ if (MPFR_IS_NEG (x) && unit_bit (x) == 0) + { + MPFR_SET_NAN (y); + MPFR_RET_NAN; +diff -Naurd mpfr-3.1.3-a/src/mpfr.h mpfr-3.1.3-b/src/mpfr.h +--- mpfr-3.1.3-a/src/mpfr.h 2015-06-19 19:55:10.000000000 +0000 ++++ mpfr-3.1.3-b/src/mpfr.h 2015-07-02 10:49:24.038113803 +0000 +@@ -27,7 +27,7 @@ + #define MPFR_VERSION_MAJOR 3 + #define MPFR_VERSION_MINOR 1 + #define MPFR_VERSION_PATCHLEVEL 3 +-#define MPFR_VERSION_STRING "3.1.3" ++#define MPFR_VERSION_STRING "3.1.3-p1" + + /* Macros dealing with MPFR VERSION */ + #define MPFR_VERSION_NUM(a,b,c) (((a) << 16L) | ((b) << 8) | (c)) +diff -Naurd mpfr-3.1.3-a/src/version.c mpfr-3.1.3-b/src/version.c +--- mpfr-3.1.3-a/src/version.c 2015-06-19 19:55:10.000000000 +0000 ++++ mpfr-3.1.3-b/src/version.c 2015-07-02 10:49:24.042113845 +0000 +@@ -25,5 +25,5 @@ + const char * + mpfr_get_version (void) + { +- return "3.1.3"; ++ return "3.1.3-p1"; + } +diff -Naurd mpfr-3.1.3-a/tests/tlngamma.c mpfr-3.1.3-b/tests/tlngamma.c +--- mpfr-3.1.3-a/tests/tlngamma.c 2015-06-19 19:55:10.000000000 +0000 ++++ mpfr-3.1.3-b/tests/tlngamma.c 2015-07-02 10:49:24.018113593 +0000 +@@ -33,7 +33,7 @@ + special (void) + { + mpfr_t x, y; +- int inex; ++ int i, inex; + + mpfr_init (x); + mpfr_init (y); +@@ -46,25 +46,29 @@ + exit (1); + } + +- mpfr_set_inf (x, -1); ++ mpfr_set_inf (x, 1); ++ mpfr_clear_flags (); + mpfr_lngamma (y, x, MPFR_RNDN); +- if (!mpfr_nan_p (y)) ++ if (!mpfr_inf_p (y) || mpfr_sgn (y) < 0 || __gmpfr_flags != 0) + { +- printf ("Error for lngamma(-Inf)\n"); ++ printf ("Error for lngamma(+Inf)\n"); + exit (1); + } + +- mpfr_set_inf (x, 1); ++ mpfr_set_inf (x, -1); ++ mpfr_clear_flags (); + mpfr_lngamma (y, x, MPFR_RNDN); +- if (!mpfr_inf_p (y) || mpfr_sgn (y) < 0) ++ if (!mpfr_inf_p (y) || mpfr_sgn (y) < 0 || __gmpfr_flags != 0) + { +- printf ("Error for lngamma(+Inf)\n"); ++ printf ("Error for lngamma(-Inf)\n"); + exit (1); + } + + mpfr_set_ui (x, 0, MPFR_RNDN); ++ mpfr_clear_flags (); + mpfr_lngamma (y, x, MPFR_RNDN); +- if (!mpfr_inf_p (y) || mpfr_sgn (y) < 0) ++ if (!mpfr_inf_p (y) || mpfr_sgn (y) < 0 || ++ __gmpfr_flags != MPFR_FLAGS_DIVBY0) + { + printf ("Error for lngamma(+0)\n"); + exit (1); +@@ -72,32 +76,58 @@ + + mpfr_set_ui (x, 0, MPFR_RNDN); + mpfr_neg (x, x, MPFR_RNDN); ++ mpfr_clear_flags (); + mpfr_lngamma (y, x, MPFR_RNDN); +- if (!mpfr_nan_p (y)) ++ if (!mpfr_inf_p (y) || mpfr_sgn (y) < 0 || ++ __gmpfr_flags != MPFR_FLAGS_DIVBY0) + { + printf ("Error for lngamma(-0)\n"); + exit (1); + } + + mpfr_set_ui (x, 1, MPFR_RNDN); ++ mpfr_clear_flags (); + mpfr_lngamma (y, x, MPFR_RNDN); +- if (MPFR_IS_NAN (y) || mpfr_cmp_ui (y, 0) || MPFR_IS_NEG (y)) ++ if (mpfr_cmp_ui0 (y, 0) || MPFR_IS_NEG (y)) + { + printf ("Error for lngamma(1)\n"); + exit (1); + } + +- mpfr_set_si (x, -1, MPFR_RNDN); +- mpfr_lngamma (y, x, MPFR_RNDN); +- if (!mpfr_nan_p (y)) ++ for (i = 1; i <= 5; i++) + { +- printf ("Error for lngamma(-1)\n"); +- exit (1); ++ int c; ++ ++ mpfr_set_si (x, -i, MPFR_RNDN); ++ mpfr_clear_flags (); ++ mpfr_lngamma (y, x, MPFR_RNDN); ++ if (!mpfr_inf_p (y) || mpfr_sgn (y) < 0 || ++ __gmpfr_flags != MPFR_FLAGS_DIVBY0) ++ { ++ printf ("Error for lngamma(-%d)\n", i); ++ exit (1); ++ } ++ if (i & 1) ++ { ++ mpfr_nextabove (x); ++ c = '+'; ++ } ++ else ++ { ++ mpfr_nextbelow (x); ++ c = '-'; ++ } ++ mpfr_lngamma (y, x, MPFR_RNDN); ++ if (!mpfr_nan_p (y)) ++ { ++ printf ("Error for lngamma(-%d%cepsilon)\n", i, c); ++ exit (1); ++ } + } + + mpfr_set_ui (x, 2, MPFR_RNDN); + mpfr_lngamma (y, x, MPFR_RNDN); +- if (MPFR_IS_NAN (y) || mpfr_cmp_ui (y, 0) || MPFR_IS_NEG (y)) ++ if (mpfr_cmp_ui0 (y, 0) || MPFR_IS_NEG (y)) + { + printf ("Error for lngamma(2)\n"); + exit (1); +@@ -127,7 +157,7 @@ + mpfr_set_str (x, CHECK_X2, 10, MPFR_RNDN); + mpfr_lngamma (y, x, MPFR_RNDN); + mpfr_set_str (x, CHECK_Y2, 10, MPFR_RNDN); +- if (MPFR_IS_NAN (y) || mpfr_cmp (y, x)) ++ if (mpfr_cmp0 (y, x)) + { + printf ("mpfr_lngamma("CHECK_X2") is wrong:\n" + "expected "); +@@ -143,7 +173,7 @@ + mpfr_lngamma (y, x, MPFR_RNDU); + mpfr_set_prec (x, 175); + mpfr_set_str_binary (x, "0.1010001100011101101011001101110010100001000001000001110011000001101100001111001001000101011011100100010101011110100111110101010100010011010010000101010111001100011000101111E7"); +- if (MPFR_IS_NAN (y) || mpfr_cmp (x, y)) ++ if (mpfr_cmp0 (x, y)) + { + printf ("Error in mpfr_lngamma (1)\n"); + exit (1); +@@ -155,7 +185,7 @@ + mpfr_lngamma (x, y, MPFR_RNDZ); + mpfr_set_prec (y, 21); + mpfr_set_str_binary (y, "0.111000101000001100101E9"); +- if (MPFR_IS_NAN (x) || mpfr_cmp (x, y)) ++ if (mpfr_cmp0 (x, y)) + { + printf ("Error in mpfr_lngamma (120)\n"); + printf ("Expected "); mpfr_print_binary (y); puts (""); +@@ -169,7 +199,7 @@ + inex = mpfr_lngamma (y, x, MPFR_RNDN); + mpfr_set_prec (x, 206); + mpfr_set_str_binary (x, "0.10000111011000000011100010101001100110001110000111100011000100100110110010001011011110101001111011110110000001010100111011010000000011100110110101100111000111010011110010000100010111101010001101000110101001E13"); +- if (MPFR_IS_NAN (y) || mpfr_cmp (x, y)) ++ if (mpfr_cmp0 (x, y)) + { + printf ("Error in mpfr_lngamma (768)\n"); + exit (1); +@@ -185,7 +215,7 @@ + mpfr_set_str_binary (x, "0.1100E-66"); + mpfr_lngamma (y, x, MPFR_RNDN); + mpfr_set_str_binary (x, "0.1100E6"); +- if (MPFR_IS_NAN (y) || mpfr_cmp (x, y)) ++ if (mpfr_cmp0 (x, y)) + { + printf ("Error for lngamma(0.1100E-66)\n"); + exit (1); +@@ -199,7 +229,7 @@ + mpfr_lngamma (y, x, MPFR_RNDN); + mpfr_set_prec (x, 32); + mpfr_set_str_binary (x, "-0.10001000111011111011000010100010E207"); +- if (MPFR_IS_NAN (y) || mpfr_cmp (x, y)) ++ if (mpfr_cmp0 (x, y)) + { + printf ("Error for lngamma(-2^199+0.5)\n"); + printf ("Got "); |