--- /dev/null
+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.
+
+ \1f
+ 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)
+
+
+ \1f
+ Tag Table:
+ Node: Top\7f775
+ Node: Copying\7f2007
+-Node: Introduction to MPFR\7f3766
+-Node: Installing MPFR\7f5880
+-Node: Reporting Bugs\7f11323
+-Node: MPFR Basics\7f13353
+-Node: Headers and Libraries\7f13669
+-Node: Nomenclature and Types\7f16828
+-Node: MPFR Variable Conventions\7f18874
+-Node: Rounding Modes\7f20418
+-Ref: ternary value\7f21544
+-Node: Floating-Point Values on Special Numbers\7f23526
+-Node: Exceptions\7f26572
+-Node: Memory Handling\7f29749
+-Node: MPFR Interface\7f30894
+-Node: Initialization Functions\7f33008
+-Node: Assignment Functions\7f40318
+-Node: Combined Initialization and Assignment Functions\7f49673
+-Node: Conversion Functions\7f50974
+-Node: Basic Arithmetic Functions\7f60035
+-Node: Comparison Functions\7f69200
+-Node: Special Functions\7f72687
+-Node: Input and Output Functions\7f86672
+-Node: Formatted Output Functions\7f88644
+-Node: Integer Related Functions\7f98431
+-Node: Rounding Related Functions\7f105051
+-Node: Miscellaneous Functions\7f108888
+-Node: Exception Related Functions\7f117568
+-Node: Compatibility with MPF\7f124386
+-Node: Custom Interface\7f127127
+-Node: Internals\7f131526
+-Node: API Compatibility\7f133066
+-Node: Type and Macro Changes\7f134995
+-Node: Added Functions\7f137844
+-Node: Changed Functions\7f141132
+-Node: Removed Functions\7f145545
+-Node: Other Changes\7f145973
+-Node: Contributors\7f147576
+-Node: References\7f150219
+-Node: GNU Free Documentation License\7f151973
+-Node: Concept Index\7f174562
+-Node: Function and Type Index\7f180659
++Node: Introduction to MPFR\7f3770
++Node: Installing MPFR\7f5884
++Node: Reporting Bugs\7f11327
++Node: MPFR Basics\7f13357
++Node: Headers and Libraries\7f13673
++Node: Nomenclature and Types\7f16832
++Node: MPFR Variable Conventions\7f18894
++Node: Rounding Modes\7f20438
++Ref: ternary value\7f21568
++Node: Floating-Point Values on Special Numbers\7f23554
++Node: Exceptions\7f26813
++Node: Memory Handling\7f29990
++Node: MPFR Interface\7f31135
++Node: Initialization Functions\7f33249
++Node: Assignment Functions\7f40559
++Node: Combined Initialization and Assignment Functions\7f49914
++Node: Conversion Functions\7f51215
++Node: Basic Arithmetic Functions\7f60276
++Node: Comparison Functions\7f69777
++Node: Special Functions\7f73264
++Node: Input and Output Functions\7f87862
++Node: Formatted Output Functions\7f89834
++Node: Integer Related Functions\7f99621
++Node: Rounding Related Functions\7f106241
++Node: Miscellaneous Functions\7f110078
++Node: Exception Related Functions\7f118758
++Node: Compatibility with MPF\7f125576
++Node: Custom Interface\7f128317
++Node: Internals\7f132716
++Node: API Compatibility\7f134260
++Node: Type and Macro Changes\7f136189
++Node: Added Functions\7f139038
++Node: Changed Functions\7f142326
++Node: Removed Functions\7f146739
++Node: Other Changes\7f147167
++Node: Contributors\7f148770
++Node: References\7f151413
++Node: GNU Free Documentation License\7f153167
++Node: Concept Index\7f175760
++Node: Function and Type Index\7f181857
+ \1f
+ 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 ");
--- /dev/null
+diff -Naurd mpfr-3.1.3-a/PATCHES mpfr-3.1.3-b/PATCHES
+--- mpfr-3.1.3-a/PATCHES 2015-07-17 08:54:48.592799981 +0000
++++ mpfr-3.1.3-b/PATCHES 2015-07-17 08:54:48.616811495 +0000
+@@ -0,0 +1 @@
++muldiv-2exp-underflow
+diff -Naurd mpfr-3.1.3-a/VERSION mpfr-3.1.3-b/VERSION
+--- mpfr-3.1.3-a/VERSION 2015-07-02 10:50:08.126574142 +0000
++++ mpfr-3.1.3-b/VERSION 2015-07-17 08:54:48.616811495 +0000
+@@ -1 +1 @@
+-3.1.3-p2
++3.1.3-p3
+diff -Naurd mpfr-3.1.3-a/src/div_2si.c mpfr-3.1.3-b/src/div_2si.c
+--- mpfr-3.1.3-a/src/div_2si.c 2015-07-02 10:50:08.106573933 +0000
++++ mpfr-3.1.3-b/src/div_2si.c 2015-07-17 08:54:48.608807656 +0000
+@@ -45,7 +45,8 @@
+ if (rnd_mode == MPFR_RNDN &&
+ (__gmpfr_emin > MPFR_EMAX_MAX - (n - 1) ||
+ exp < __gmpfr_emin + (n - 1) ||
+- (inexact >= 0 && mpfr_powerof2_raw (y))))
++ ((MPFR_IS_NEG (y) ? inexact <= 0 : inexact >= 0) &&
++ mpfr_powerof2_raw (y))))
+ rnd_mode = MPFR_RNDZ;
+ return mpfr_underflow (y, rnd_mode, MPFR_SIGN(y));
+ }
+diff -Naurd mpfr-3.1.3-a/src/div_2ui.c mpfr-3.1.3-b/src/div_2ui.c
+--- mpfr-3.1.3-a/src/div_2ui.c 2015-07-02 10:50:08.106573933 +0000
++++ mpfr-3.1.3-b/src/div_2ui.c 2015-07-17 08:54:48.608807656 +0000
+@@ -44,7 +44,9 @@
+ if (MPFR_UNLIKELY (n >= diffexp)) /* exp - n <= emin - 1 */
+ {
+ if (rnd_mode == MPFR_RNDN &&
+- (n > diffexp || (inexact >= 0 && mpfr_powerof2_raw (y))))
++ (n > diffexp ||
++ ((MPFR_IS_NEG (y) ? inexact <= 0 : inexact >= 0) &&
++ mpfr_powerof2_raw (y))))
+ rnd_mode = MPFR_RNDZ;
+ return mpfr_underflow (y, rnd_mode, MPFR_SIGN (y));
+ }
+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 2015-07-02 10:50:08.126574142 +0000
++++ mpfr-3.1.3-b/src/mpfr.h 2015-07-17 08:54:48.616811495 +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-p2"
++#define MPFR_VERSION_STRING "3.1.3-p3"
+
+ /* 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/mul_2si.c mpfr-3.1.3-b/src/mul_2si.c
+--- mpfr-3.1.3-a/src/mul_2si.c 2015-07-02 10:50:08.106573933 +0000
++++ mpfr-3.1.3-b/src/mul_2si.c 2015-07-17 08:54:48.608807656 +0000
+@@ -48,7 +48,8 @@
+ if (rnd_mode == MPFR_RNDN &&
+ (__gmpfr_emin > MPFR_EMAX_MAX + (n + 1) ||
+ exp < __gmpfr_emin - (n + 1) ||
+- (inexact >= 0 && mpfr_powerof2_raw (y))))
++ ((MPFR_IS_NEG (y) ? inexact <= 0 : inexact >= 0) &&
++ mpfr_powerof2_raw (y))))
+ rnd_mode = MPFR_RNDZ;
+ return mpfr_underflow (y, rnd_mode, MPFR_SIGN(y));
+ }
+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 2015-07-02 10:50:08.126574142 +0000
++++ mpfr-3.1.3-b/src/version.c 2015-07-17 08:54:48.616811495 +0000
+@@ -25,5 +25,5 @@
+ const char *
+ mpfr_get_version (void)
+ {
+- return "3.1.3-p2";
++ return "3.1.3-p3";
+ }
+diff -Naurd mpfr-3.1.3-a/tests/tmul_2exp.c mpfr-3.1.3-b/tests/tmul_2exp.c
+--- mpfr-3.1.3-a/tests/tmul_2exp.c 2015-07-02 10:50:08.106573933 +0000
++++ mpfr-3.1.3-b/tests/tmul_2exp.c 2015-07-17 08:54:48.608807656 +0000
+@@ -50,77 +50,82 @@
+ {
+ mpfr_t x, y, z1, z2;
+ mpfr_exp_t emin;
+- int i, k;
++ int i, k, s;
+ int prec;
+ int rnd;
+ int div;
+ int inex1, inex2;
+ unsigned int flags1, flags2;
+
+- /* Test mul_2si(x, e - k), div_2si(x, k - e) and div_2ui(x, k - e)
+- * with emin = e, x = 1 + i/16, i in { -1, 0, 1 }, and k = 1 to 4,
+- * by comparing the result with the one of a simple division.
++ /* Test mul_2si(x, e - k), div_2si(x, k - e) and div_2ui(x, k - e) with
++ * emin = e, x = s * (1 + i/16), i in { -1, 0, 1 }, s in { -1, 1 }, and
++ * k = 1 to 4, by comparing the result with the one of a simple division.
+ */
+ emin = mpfr_get_emin ();
+ set_emin (e);
+ mpfr_inits2 (8, x, y, (mpfr_ptr) 0);
+ for (i = 15; i <= 17; i++)
+- {
+- inex1 = mpfr_set_ui_2exp (x, i, -4, MPFR_RNDN);
+- MPFR_ASSERTN (inex1 == 0);
+- for (prec = 6; prec >= 3; prec -= 3)
+- {
+- mpfr_inits2 (prec, z1, z2, (mpfr_ptr) 0);
+- RND_LOOP (rnd)
+- for (k = 1; k <= 4; k++)
+- {
+- /* The following one is assumed to be correct. */
+- inex1 = mpfr_mul_2si (y, x, e, MPFR_RNDN);
+- MPFR_ASSERTN (inex1 == 0);
+- inex1 = mpfr_set_ui (z1, 1 << k, MPFR_RNDN);
+- MPFR_ASSERTN (inex1 == 0);
+- mpfr_clear_flags ();
+- /* Do not use mpfr_div_ui to avoid the optimization
+- by mpfr_div_2si. */
+- inex1 = mpfr_div (z1, y, z1, (mpfr_rnd_t) rnd);
+- flags1 = __gmpfr_flags;
+-
+- for (div = 0; div <= 2; div++)
++ for (s = 1; s >= -1; s -= 2)
++ {
++ inex1 = mpfr_set_si_2exp (x, s * i, -4, MPFR_RNDN);
++ MPFR_ASSERTN (inex1 == 0);
++ for (prec = 6; prec >= 3; prec -= 3)
++ {
++ mpfr_inits2 (prec, z1, z2, (mpfr_ptr) 0);
++ RND_LOOP (rnd)
++ for (k = 1; k <= 4; k++)
+ {
++ /* The following one is assumed to be correct. */
++ inex1 = mpfr_mul_2si (y, x, e, MPFR_RNDN);
++ MPFR_ASSERTN (inex1 == 0);
++ inex1 = mpfr_set_ui (z1, 1 << k, MPFR_RNDN);
++ MPFR_ASSERTN (inex1 == 0);
+ mpfr_clear_flags ();
+- inex2 = div == 0 ?
+- mpfr_mul_2si (z2, x, e - k, (mpfr_rnd_t) rnd) : div == 1 ?
+- mpfr_div_2si (z2, x, k - e, (mpfr_rnd_t) rnd) :
+- mpfr_div_2ui (z2, x, k - e, (mpfr_rnd_t) rnd);
+- flags2 = __gmpfr_flags;
+- if (flags1 == flags2 && SAME_SIGN (inex1, inex2) &&
+- mpfr_equal_p (z1, z2))
+- continue;
+- printf ("Error in underflow(");
+- if (e == MPFR_EMIN_MIN)
+- printf ("MPFR_EMIN_MIN");
+- else if (e == emin)
+- printf ("default emin");
+- else if (e >= LONG_MIN)
+- printf ("%ld", (long) e);
+- else
+- printf ("<LONG_MIN");
+- printf (") with mpfr_%s,\nx = %d/16, prec = %d, k = %d, "
+- "%s\n", div == 0 ? "mul_2si" : div == 1 ?
+- "div_2si" : "div_2ui", i, prec, k,
+- mpfr_print_rnd_mode ((mpfr_rnd_t) rnd));
+- printf ("Expected ");
+- mpfr_out_str (stdout, 16, 0, z1, MPFR_RNDN);
+- printf (", inex = %d, flags = %u\n", SIGN (inex1), flags1);
+- printf ("Got ");
+- mpfr_out_str (stdout, 16, 0, z2, MPFR_RNDN);
+- printf (", inex = %d, flags = %u\n", SIGN (inex2), flags2);
+- exit (1);
+- } /* div */
+- } /* k */
+- mpfr_clears (z1, z2, (mpfr_ptr) 0);
+- } /* prec */
+- } /* i */
++ /* Do not use mpfr_div_ui to avoid the optimization
++ by mpfr_div_2si. */
++ inex1 = mpfr_div (z1, y, z1, (mpfr_rnd_t) rnd);
++ flags1 = __gmpfr_flags;
++
++ for (div = 0; div <= 2; div++)
++ {
++ mpfr_clear_flags ();
++ inex2 =
++ div == 0 ?
++ mpfr_mul_2si (z2, x, e - k, (mpfr_rnd_t) rnd) :
++ div == 1 ?
++ mpfr_div_2si (z2, x, k - e, (mpfr_rnd_t) rnd) :
++ mpfr_div_2ui (z2, x, k - e, (mpfr_rnd_t) rnd);
++ flags2 = __gmpfr_flags;
++ if (flags1 == flags2 && SAME_SIGN (inex1, inex2) &&
++ mpfr_equal_p (z1, z2))
++ continue;
++ printf ("Error in underflow(");
++ if (e == MPFR_EMIN_MIN)
++ printf ("MPFR_EMIN_MIN");
++ else if (e == emin)
++ printf ("default emin");
++ else if (e >= LONG_MIN)
++ printf ("%ld", (long) e);
++ else
++ printf ("<LONG_MIN");
++ printf (") with mpfr_%s,\nx = %d/16, prec = %d, k = %d,"
++ " %s\n", div == 0 ? "mul_2si" : div == 1 ?
++ "div_2si" : "div_2ui", s * i, prec, k,
++ mpfr_print_rnd_mode ((mpfr_rnd_t) rnd));
++ printf ("Expected ");
++ mpfr_out_str (stdout, 16, 0, z1, MPFR_RNDN);
++ printf (", inex = %d, flags = %u\n",
++ SIGN (inex1), flags1);
++ printf ("Got ");
++ mpfr_out_str (stdout, 16, 0, z2, MPFR_RNDN);
++ printf (", inex = %d, flags = %u\n",
++ SIGN (inex2), flags2);
++ exit (1);
++ } /* div */
++ } /* k */
++ mpfr_clears (z1, z2, (mpfr_ptr) 0);
++ } /* prec */
++ } /* i */
+ mpfr_clears (x, y, (mpfr_ptr) 0);
+ set_emin (emin);
+ }