1699 lines
80 KiB
Diff
1699 lines
80 KiB
Diff
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
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||
+++ 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
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@@ -1 +1 @@
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||
-3.1.3
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+3.1.3-p1
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diff -Naurd mpfr-3.1.3-a/doc/mpfr.texi mpfr-3.1.3-b/doc/mpfr.texi
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--- mpfr-3.1.3-a/doc/mpfr.texi 2015-06-19 19:55:11.000000000 +0000
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+++ mpfr-3.1.3-b/doc/mpfr.texi 2015-07-02 10:49:24.018113593 +0000
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@@ -810,13 +810,17 @@
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When the input point is in the closure of the domain of the mathematical
|
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function and an input argument is +0 (resp.@: @minus{}0), one considers
|
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the limit when the corresponding argument approaches 0 from above
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-(resp.@: below). If the limit is not defined (e.g., @code{mpfr_log} on
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-@minus{}0), the behavior is specified in the description of the MPFR function.
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+(resp.@: below), if possible. If the limit is not defined (e.g.,
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+@code{mpfr_sqrt} and @code{mpfr_log} on @minus{}0), the behavior is
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+specified in the description of the MPFR function, but must be consistent
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+with the rule from the above paragraph (e.g., @code{mpfr_log} on @pom{}0
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+gives @minus{}Inf).
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||
|
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When the result is equal to 0, its sign is determined by considering the
|
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limit as if the input point were not in the domain: If one approaches 0
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from above (resp.@: below), the result is +0 (resp.@: @minus{}0);
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-for example, @code{mpfr_sin} on +0 gives +0.
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+for example, @code{mpfr_sin} on @minus{}0 gives @minus{}0 and
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+@code{mpfr_acos} on 1 gives +0 (in all rounding modes).
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In the other cases, the sign is specified in the description of the MPFR
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function; for example @code{mpfr_max} on @minus{}0 and +0 gives +0.
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@@ -832,8 +836,8 @@
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@c that advantages in practice), like for any bug fix.
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Example: @code{mpfr_hypot} on (NaN,0) gives NaN, but @code{mpfr_hypot}
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on (NaN,+Inf) gives +Inf (as specified in @ref{Special Functions}),
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-since for any finite input @var{x}, @code{mpfr_hypot} on (@var{x},+Inf)
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-gives +Inf.
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+since for any finite or infinite input @var{x}, @code{mpfr_hypot} on
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+(@var{x},+Inf) gives +Inf.
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@node Exceptions, Memory Handling, Floating-Point Values on Special Numbers, MPFR Basics
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@comment node-name, next, previous, up
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@@ -1581,7 +1585,8 @@
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@deftypefunx int mpfr_add_z (mpfr_t @var{rop}, mpfr_t @var{op1}, mpz_t @var{op2}, mpfr_rnd_t @var{rnd})
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@deftypefunx int mpfr_add_q (mpfr_t @var{rop}, mpfr_t @var{op1}, mpq_t @var{op2}, mpfr_rnd_t @var{rnd})
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Set @var{rop} to @math{@var{op1} + @var{op2}} rounded in the direction
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-@var{rnd}. For types having no signed zero, it is considered unsigned
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+@var{rnd}. The IEEE-754 rules are used, in particular for signed zeros.
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+But for types having no signed zeros, 0 is considered unsigned
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(i.e., (+0) + 0 = (+0) and (@minus{}0) + 0 = (@minus{}0)).
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The @code{mpfr_add_d} function assumes that the radix of the @code{double} type
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is a power of 2, with a precision at most that declared by the C implementation
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@@ -1599,7 +1604,8 @@
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@deftypefunx int mpfr_sub_z (mpfr_t @var{rop}, mpfr_t @var{op1}, mpz_t @var{op2}, mpfr_rnd_t @var{rnd})
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@deftypefunx int mpfr_sub_q (mpfr_t @var{rop}, mpfr_t @var{op1}, mpq_t @var{op2}, mpfr_rnd_t @var{rnd})
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Set @var{rop} to @math{@var{op1} - @var{op2}} rounded in the direction
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-@var{rnd}. For types having no signed zero, it is considered unsigned
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+@var{rnd}. The IEEE-754 rules are used, in particular for signed zeros.
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+But for types having no signed zeros, 0 is considered unsigned
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(i.e., (+0) @minus{} 0 = (+0), (@minus{}0) @minus{} 0 = (@minus{}0),
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0 @minus{} (+0) = (@minus{}0) and 0 @minus{} (@minus{}0) = (+0)).
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The same restrictions than for @code{mpfr_add_d} apply to @code{mpfr_d_sub}
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@@ -1615,7 +1621,7 @@
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Set @var{rop} to @math{@var{op1} @GMPtimes{} @var{op2}} rounded in the
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direction @var{rnd}.
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When a result is zero, its sign is the product of the signs of the operands
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-(for types having no signed zero, it is considered positive).
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+(for types having no signed zeros, 0 is considered positive).
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The same restrictions than for @code{mpfr_add_d} apply to @code{mpfr_mul_d}.
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@end deftypefun
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@@ -1635,7 +1641,7 @@
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@deftypefunx int mpfr_div_q (mpfr_t @var{rop}, mpfr_t @var{op1}, mpq_t @var{op2}, mpfr_rnd_t @var{rnd})
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Set @var{rop} to @math{@var{op1}/@var{op2}} rounded in the direction @var{rnd}.
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When a result is zero, its sign is the product of the signs of the operands
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-(for types having no signed zero, it is considered positive).
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+(for types having no signed zeros, 0 is considered positive).
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The same restrictions than for @code{mpfr_add_d} apply to @code{mpfr_d_div}
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and @code{mpfr_div_d}.
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@end deftypefun
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@@ -1643,15 +1649,18 @@
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@deftypefun int mpfr_sqrt (mpfr_t @var{rop}, mpfr_t @var{op}, mpfr_rnd_t @var{rnd})
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@deftypefunx int mpfr_sqrt_ui (mpfr_t @var{rop}, unsigned long int @var{op}, mpfr_rnd_t @var{rnd})
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Set @var{rop} to @m{\sqrt{@var{op}}, the square root of @var{op}}
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-rounded in the direction @var{rnd} (set @var{rop} to @minus{}0 if @var{op} is
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-@minus{}0, to be consistent with the IEEE 754 standard).
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+rounded in the direction @var{rnd}. Set @var{rop} to @minus{}0 if
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+@var{op} is @minus{}0, to be consistent with the IEEE 754 standard.
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Set @var{rop} to NaN if @var{op} is negative.
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@end deftypefun
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@deftypefun int mpfr_rec_sqrt (mpfr_t @var{rop}, mpfr_t @var{op}, mpfr_rnd_t @var{rnd})
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Set @var{rop} to @m{1/\sqrt{@var{op}}, the reciprocal square root of @var{op}}
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-rounded in the direction @var{rnd}. Set @var{rop} to +Inf if @var{op} is
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-@pom{}0, +0 if @var{op} is +Inf, and NaN if @var{op} is negative.
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+rounded in the direction @var{rnd}. Set @var{rop} to +Inf if @var{op} is
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+@pom{}0, +0 if @var{op} is +Inf, and NaN if @var{op} is negative. Warning!
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+Therefore the result on @minus{}0 is different from the one of the rSqrt
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+function recommended by the IEEE 754-2008 standard (Section 9.2.1), which
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+is @minus{}Inf instead of +Inf.
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@end deftypefun
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@deftypefun int mpfr_cbrt (mpfr_t @var{rop}, mpfr_t @var{op}, mpfr_rnd_t @var{rnd})
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@@ -1832,7 +1841,9 @@
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@m{\log_2 @var{op}, log2(@var{op})} or
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@m{\log_{10} @var{op}, log10(@var{op})}, respectively,
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rounded in the direction @var{rnd}.
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-Set @var{rop} to @minus{}Inf if @var{op} is @minus{}0
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+Set @var{rop} to +0 if @var{op} is 1 (in all rounding modes),
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+for consistency with the ISO C99 and IEEE 754-2008 standards.
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+Set @var{rop} to @minus{}Inf if @var{op} is @pom{}0
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(i.e., the sign of the zero has no influence on the result).
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@end deftypefun
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@@ -2003,8 +2014,11 @@
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@deftypefun int mpfr_lngamma (mpfr_t @var{rop}, mpfr_t @var{op}, mpfr_rnd_t @var{rnd})
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Set @var{rop} to the value of the logarithm of the Gamma function on @var{op},
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rounded in the direction @var{rnd}.
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-When @math{@minus{}2@var{k}@minus{}1 @le{} @var{op} @le{} @minus{}2@var{k}},
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-@var{k} being a non-negative integer, @var{rop} is set to NaN.
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+When @var{op} is 1 or 2, set @var{rop} to +0 (in all rounding modes).
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+When @var{op} is an infinity or a nonpositive integer, set @var{rop} to +Inf,
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+following the general rules on special values.
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+When @math{@minus{}2@var{k}@minus{}1 < @var{op} < @minus{}2@var{k}},
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+@var{k} being a nonnegative integer, set @var{rop} to NaN@.
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See also @code{mpfr_lgamma}.
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@end deftypefun
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@@ -2012,10 +2026,11 @@
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Set @var{rop} to the value of the logarithm of the absolute value of the
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Gamma function on @var{op}, rounded in the direction @var{rnd}. The sign
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(1 or @minus{}1) of Gamma(@var{op}) is returned in the object pointed to
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-by @var{signp}. When @var{op} is an infinity or a non-positive integer, set
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-@var{rop} to +Inf. When @var{op} is NaN, @minus{}Inf or a negative integer,
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-*@var{signp} is undefined, and when @var{op} is @pom{}0, *@var{signp} is
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-the sign of the zero.
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+by @var{signp}.
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+When @var{op} is 1 or 2, set @var{rop} to +0 (in all rounding modes).
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+When @var{op} is an infinity or a nonpositive integer, set @var{rop} to +Inf.
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+When @var{op} is NaN, @minus{}Inf or a negative integer, *@var{signp} is
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+undefined, and when @var{op} is @pom{}0, *@var{signp} is the sign of the zero.
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@end deftypefun
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@deftypefun int mpfr_digamma (mpfr_t @var{rop}, mpfr_t @var{op}, mpfr_rnd_t @var{rnd})
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@@ -2064,7 +2079,10 @@
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@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})
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Set @var{rop} to @math{(@var{op1} @GMPtimes{} @var{op2}) + @var{op3}}
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(resp.@: @math{(@var{op1} @GMPtimes{} @var{op2}) - @var{op3}})
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-rounded in the direction @var{rnd}.
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+rounded in the direction @var{rnd}. Concerning special values (signed zeros,
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+infinities, NaN), these functions behave like a multiplication followed by a
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+separate addition or subtraction. That is, the fused operation matters only
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+for rounding.
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@end deftypefun
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@deftypefun int mpfr_agm (mpfr_t @var{rop}, mpfr_t @var{op1}, mpfr_t @var{op2}, mpfr_rnd_t @var{rnd})
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@@ -2089,8 +2107,8 @@
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i.e., $\sqrt{x^2+y^2}$,
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@end tex
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rounded in the direction @var{rnd}.
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-Special values are handled as described in Section F.9.4.3 of
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-the ISO C99 and IEEE 754-2008 standards:
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+Special values are handled as described in the ISO C99 (Section F.9.4.3)
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+and IEEE 754-2008 (Section 9.2.1) standards:
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If @var{x} or @var{y} is an infinity, then +Inf is returned in @var{rop},
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even if the other number is NaN.
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@end deftypefun
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diff -Naurd mpfr-3.1.3-a/doc/mpfr.info mpfr-3.1.3-b/doc/mpfr.info
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--- mpfr-3.1.3-a/doc/mpfr.info 2015-06-19 19:55:53.000000000 +0000
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+++ mpfr-3.1.3-b/doc/mpfr.info 2015-07-02 10:49:38.718267817 +0000
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@@ -1,4 +1,4 @@
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-This is mpfr.info, produced by makeinfo version 5.2 from mpfr.texi.
|
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+This is mpfr.info, produced by makeinfo version 6.0 from mpfr.texi.
|
||
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This manual documents how to install and use the Multiple Precision
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Floating-Point Reliable Library, version 3.1.3.
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@@ -55,7 +55,7 @@
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MPFR Copying Conditions
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||
***********************
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||
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-The GNU MPFR library (or MPFR for short) is "free"; this means that
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+The GNU MPFR library (or MPFR for short) is “free”; this means that
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everyone is free to use it and free to redistribute it on a free basis.
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The library is not in the public domain; it is copyrighted and there are
|
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restrictions on its distribution, but these restrictions are designed to
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@@ -418,7 +418,7 @@
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4.2 Nomenclature and Types
|
||
==========================
|
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-A "floating-point number", or "float" for short, is an arbitrary
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+A “floating-point number”, or “float” for short, is an arbitrary
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precision significand (also called mantissa) with a limited precision
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exponent. The C data type for such objects is ‘mpfr_t’ (internally
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defined as a one-element array of a structure, and ‘mpfr_ptr’ is the C
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@@ -432,7 +432,7 @@
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to the other functions supported by MPFR. Unless documented otherwise,
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the sign bit of a NaN is unspecified.
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-The "precision" is the number of bits used to represent the significand
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+The “precision” is the number of bits used to represent the significand
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of a floating-point number; the corresponding C data type is
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‘mpfr_prec_t’. The precision can be any integer between ‘MPFR_PREC_MIN’
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and ‘MPFR_PREC_MAX’. In the current implementation, ‘MPFR_PREC_MIN’ is
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@@ -446,7 +446,7 @@
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||
may abort, crash or have undefined behavior (depending on your C
|
||
implementation).
|
||
|
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-The "rounding mode" specifies the way to round the result of a
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+The “rounding mode” specifies the way to round the result of a
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floating-point operation, in case the exact result can not be
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represented exactly in the destination significand; the corresponding C
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data type is ‘mpfr_rnd_t’.
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@@ -499,14 +499,14 @@
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representable numbers, it is rounded to the one with the least
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significant bit set to zero. For example, the number 2.5, which is
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||
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
|
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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
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a rounding mode, and have a return value of type ‘int’, called the
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-"ternary value". The value stored in the destination variable is
|
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+“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,
|
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@@ -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.
|
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+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 ");
|
||
diff -Naurd mpfr-3.1.3-a/PATCHES mpfr-3.1.3-b/PATCHES
|
||
--- mpfr-3.1.3-a/PATCHES 2015-07-02 10:50:08.046573308 +0000
|
||
+++ mpfr-3.1.3-b/PATCHES 2015-07-02 10:50:08.126574142 +0000
|
||
@@ -0,0 +1 @@
|
||
+muldiv-2exp-overflow
|
||
diff -Naurd mpfr-3.1.3-a/VERSION mpfr-3.1.3-b/VERSION
|
||
--- mpfr-3.1.3-a/VERSION 2015-07-02 10:49:24.042113845 +0000
|
||
+++ mpfr-3.1.3-b/VERSION 2015-07-02 10:50:08.126574142 +0000
|
||
@@ -1 +1 @@
|
||
-3.1.3-p1
|
||
+3.1.3-p2
|
||
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 2015-06-19 19:55:10.000000000 +0000
|
||
+++ mpfr-3.1.3-b/src/div_2si.c 2015-07-02 10:50:08.106573933 +0000
|
||
@@ -49,7 +49,7 @@
|
||
rnd_mode = MPFR_RNDZ;
|
||
return mpfr_underflow (y, rnd_mode, MPFR_SIGN(y));
|
||
}
|
||
- else if (MPFR_UNLIKELY(n < 0 && (__gmpfr_emax < MPFR_EMIN_MIN - n ||
|
||
+ else if (MPFR_UNLIKELY(n <= 0 && (__gmpfr_emax < MPFR_EMIN_MIN - n ||
|
||
exp > __gmpfr_emax + n)) )
|
||
return mpfr_overflow (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 2015-06-19 19:55:10.000000000 +0000
|
||
+++ mpfr-3.1.3-b/src/div_2ui.c 2015-07-02 10:50:08.106573933 +0000
|
||
@@ -32,7 +32,7 @@
|
||
rnd_mode),
|
||
("y[%Pu]=%.*Rg inexact=%d", mpfr_get_prec(y), mpfr_log_prec, y, inexact));
|
||
|
||
- if (MPFR_UNLIKELY (MPFR_IS_SINGULAR (x)))
|
||
+ if (MPFR_UNLIKELY (n == 0 || MPFR_IS_SINGULAR (x)))
|
||
return mpfr_set (y, x, rnd_mode);
|
||
else
|
||
{
|
||
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 10:49:24.038113803 +0000
|
||
+++ mpfr-3.1.3-b/src/mpfr.h 2015-07-02 10:50:08.126574142 +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-p1"
|
||
+#define MPFR_VERSION_STRING "3.1.3-p2"
|
||
|
||
/* 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 2015-06-19 19:55:10.000000000 +0000
|
||
+++ mpfr-3.1.3-b/src/mul_2si.c 2015-07-02 10:50:08.106573933 +0000
|
||
@@ -39,7 +39,7 @@
|
||
{
|
||
mpfr_exp_t exp = MPFR_GET_EXP (x);
|
||
MPFR_SETRAW (inexact, y, x, exp, rnd_mode);
|
||
- if (MPFR_UNLIKELY( n > 0 && (__gmpfr_emax < MPFR_EMIN_MIN + n ||
|
||
+ if (MPFR_UNLIKELY(n >= 0 && (__gmpfr_emax < MPFR_EMIN_MIN + n ||
|
||
exp > __gmpfr_emax - n)))
|
||
return mpfr_overflow (y, rnd_mode, MPFR_SIGN(y));
|
||
else if (MPFR_UNLIKELY(n < 0 && (__gmpfr_emin > MPFR_EMAX_MAX + n ||
|
||
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 10:49:24.042113845 +0000
|
||
+++ mpfr-3.1.3-b/src/version.c 2015-07-02 10:50:08.126574142 +0000
|
||
@@ -25,5 +25,5 @@
|
||
const char *
|
||
mpfr_get_version (void)
|
||
{
|
||
- return "3.1.3-p1";
|
||
+ return "3.1.3-p2";
|
||
}
|
||
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 2015-06-19 19:55:10.000000000 +0000
|
||
+++ mpfr-3.1.3-b/tests/tmul_2exp.c 2015-07-02 10:50:08.106573933 +0000
|
||
@@ -242,6 +242,76 @@
|
||
large (MPFR_EMAX_MAX);
|
||
}
|
||
|
||
+/* Cases where the function overflows on n = 0 when rounding is like
|
||
+ away from zero. */
|
||
+static void
|
||
+overflow0 (mpfr_exp_t emax)
|
||
+{
|
||
+ mpfr_exp_t old_emax;
|
||
+ mpfr_t x, y1, y2;
|
||
+ int neg, r, op;
|
||
+ static char *sop[4] = { "mul_2ui", "mul_2si", "div_2ui", "div_2si" };
|
||
+
|
||
+ old_emax = mpfr_get_emax ();
|
||
+ set_emax (emax);
|
||
+
|
||
+ mpfr_init2 (x, 8);
|
||
+ mpfr_inits2 (6, y1, y2, (mpfr_ptr) 0);
|
||
+
|
||
+ mpfr_set_inf (x, 1);
|
||
+ mpfr_nextbelow (x);
|
||
+
|
||
+ for (neg = 0; neg <= 1; neg++)
|
||
+ {
|
||
+ RND_LOOP (r)
|
||
+ {
|
||
+ int inex1, inex2;
|
||
+ unsigned int flags1, flags2;
|
||
+
|
||
+ /* Even if there isn't an overflow (rounding ~ toward zero),
|
||
+ the result is the same as the one of an overflow. */
|
||
+ inex1 = mpfr_overflow (y1, (mpfr_rnd_t) r, neg ? -1 : 1);
|
||
+ flags1 = MPFR_FLAGS_INEXACT;
|
||
+ if (mpfr_inf_p (y1))
|
||
+ flags1 |= MPFR_FLAGS_OVERFLOW;
|
||
+ for (op = 0; op < 4; op++)
|
||
+ {
|
||
+ mpfr_clear_flags ();
|
||
+ inex2 =
|
||
+ op == 0 ? mpfr_mul_2ui (y2, x, 0, (mpfr_rnd_t) r) :
|
||
+ op == 1 ? mpfr_mul_2si (y2, x, 0, (mpfr_rnd_t) r) :
|
||
+ op == 2 ? mpfr_div_2ui (y2, x, 0, (mpfr_rnd_t) r) :
|
||
+ op == 3 ? mpfr_div_2si (y2, x, 0, (mpfr_rnd_t) r) :
|
||
+ (MPFR_ASSERTN (0), 0);
|
||
+ flags2 = __gmpfr_flags;
|
||
+ if (!(mpfr_equal_p (y1, y2) &&
|
||
+ SAME_SIGN (inex1, inex2) &&
|
||
+ flags1 == flags2))
|
||
+ {
|
||
+ printf ("Error in overflow0 for %s, mpfr_%s, emax = %"
|
||
+ MPFR_EXP_FSPEC "d,\nx = ",
|
||
+ mpfr_print_rnd_mode ((mpfr_rnd_t) r), sop[op],
|
||
+ (mpfr_eexp_t) emax);
|
||
+ mpfr_dump (x);
|
||
+ printf ("Expected ");
|
||
+ mpfr_dump (y1);
|
||
+ printf (" with inex = %d, flags =", inex1);
|
||
+ flags_out (flags1);
|
||
+ printf ("Got ");
|
||
+ mpfr_dump (y2);
|
||
+ printf (" with inex = %d, flags =", inex2);
|
||
+ flags_out (flags2);
|
||
+ exit (1);
|
||
+ }
|
||
+ }
|
||
+ }
|
||
+ mpfr_neg (x, x, MPFR_RNDN);
|
||
+ }
|
||
+
|
||
+ mpfr_clears (x, y1, y2, (mpfr_ptr) 0);
|
||
+ set_emax (old_emax);
|
||
+}
|
||
+
|
||
int
|
||
main (int argc, char *argv[])
|
||
{
|
||
@@ -334,6 +404,11 @@
|
||
underflow0 ();
|
||
large0 ();
|
||
|
||
+ if (mpfr_get_emax () != MPFR_EMAX_MAX)
|
||
+ overflow0 (mpfr_get_emax ());
|
||
+ overflow0 (MPFR_EMAX_MAX);
|
||
+ overflow0 (-1);
|
||
+
|
||
tests_end_mpfr ();
|
||
return 0;
|
||
}
|
||
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);
|
||
}
|
||
diff -Naurd mpfr-3.1.3-a/PATCHES mpfr-3.1.3-b/PATCHES
|
||
--- mpfr-3.1.3-a/PATCHES 2015-07-17 08:58:21.094987384 +0000
|
||
+++ mpfr-3.1.3-b/PATCHES 2015-07-17 08:58:21.118986898 +0000
|
||
@@ -0,0 +1 @@
|
||
+frexp
|
||
diff -Naurd mpfr-3.1.3-a/VERSION mpfr-3.1.3-b/VERSION
|
||
--- mpfr-3.1.3-a/VERSION 2015-07-17 08:54:48.616811495 +0000
|
||
+++ mpfr-3.1.3-b/VERSION 2015-07-17 08:58:21.118986898 +0000
|
||
@@ -1 +1 @@
|
||
-3.1.3-p3
|
||
+3.1.3-p4
|
||
diff -Naurd mpfr-3.1.3-a/src/frexp.c mpfr-3.1.3-b/src/frexp.c
|
||
--- mpfr-3.1.3-a/src/frexp.c 2015-06-19 19:55:09.000000000 +0000
|
||
+++ mpfr-3.1.3-b/src/frexp.c 2015-07-17 08:58:21.106987142 +0000
|
||
@@ -26,6 +26,13 @@
|
||
mpfr_frexp (mpfr_exp_t *exp, mpfr_ptr y, mpfr_srcptr x, mpfr_rnd_t rnd)
|
||
{
|
||
int inex;
|
||
+ unsigned int saved_flags = __gmpfr_flags;
|
||
+ MPFR_BLOCK_DECL (flags);
|
||
+
|
||
+ MPFR_LOG_FUNC
|
||
+ (("x[%Pu]=%.*Rg rnd=%d", mpfr_get_prec (x), mpfr_log_prec, x, rnd),
|
||
+ ("y[%Pu]=%.*Rg exp=%" MPFR_EXP_FSPEC "d inex=%d", mpfr_get_prec (y),
|
||
+ mpfr_log_prec, y, (mpfr_eexp_t) *exp, inex));
|
||
|
||
if (MPFR_UNLIKELY(MPFR_IS_SINGULAR(x)))
|
||
{
|
||
@@ -49,8 +56,32 @@
|
||
}
|
||
}
|
||
|
||
- inex = mpfr_set (y, x, rnd);
|
||
+ MPFR_BLOCK (flags, inex = mpfr_set (y, x, rnd));
|
||
+ __gmpfr_flags = saved_flags;
|
||
+
|
||
+ /* Possible overflow due to the rounding, no possible underflow. */
|
||
+
|
||
+ if (MPFR_UNLIKELY (MPFR_OVERFLOW (flags)))
|
||
+ {
|
||
+ int inex2;
|
||
+
|
||
+ /* An overflow here means that the exponent of y would be larger than
|
||
+ the one of x, thus x would be rounded to the next power of 2, and
|
||
+ the returned y should be 1/2 in absolute value, rounded (i.e. with
|
||
+ possible underflow or overflow). This also implies that x and y are
|
||
+ different objects, so that the exponent of x has not been lost. */
|
||
+ MPFR_LOG_MSG (("Internal overflow\n", 0));
|
||
+ MPFR_ASSERTD (x != y);
|
||
+ *exp = MPFR_GET_EXP (x) + 1;
|
||
+ inex2 = mpfr_set_si_2exp (y, MPFR_INT_SIGN (x), -1, rnd);
|
||
+ MPFR_LOG_MSG (("inex=%d inex2=%d\n", inex, inex2));
|
||
+ if (inex2 != 0)
|
||
+ inex = inex2;
|
||
+ MPFR_RET (inex);
|
||
+ }
|
||
+
|
||
*exp = MPFR_GET_EXP (y);
|
||
- MPFR_SET_EXP (y, 0);
|
||
+ /* Do not use MPFR_SET_EXP because the range has not been checked yet. */
|
||
+ MPFR_EXP (y) = 0;
|
||
return mpfr_check_range (y, inex, rnd);
|
||
}
|
||
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 2015-07-17 08:54:48.616811495 +0000
|
||
+++ mpfr-3.1.3-b/src/mpfr.h 2015-07-17 08:58:21.114986979 +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-p3"
|
||
+#define MPFR_VERSION_STRING "3.1.3-p4"
|
||
|
||
/* 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 2015-07-17 08:54:48.616811495 +0000
|
||
+++ mpfr-3.1.3-b/src/version.c 2015-07-17 08:58:21.118986898 +0000
|
||
@@ -25,5 +25,5 @@
|
||
const char *
|
||
mpfr_get_version (void)
|
||
{
|
||
- return "3.1.3-p3";
|
||
+ return "3.1.3-p4";
|
||
}
|
||
diff -Naurd mpfr-3.1.3-a/tests/tfrexp.c mpfr-3.1.3-b/tests/tfrexp.c
|
||
--- mpfr-3.1.3-a/tests/tfrexp.c 2015-06-19 19:55:10.000000000 +0000
|
||
+++ mpfr-3.1.3-b/tests/tfrexp.c 2015-07-17 08:58:21.106987142 +0000
|
||
@@ -129,12 +129,115 @@
|
||
mpfr_clear (x);
|
||
}
|
||
|
||
+static void check1 (void)
|
||
+{
|
||
+ mpfr_exp_t emin, emax, e;
|
||
+ mpfr_t x, y1, y2;
|
||
+ int r, neg, red;
|
||
+
|
||
+ emin = mpfr_get_emin ();
|
||
+ emax = mpfr_get_emax ();
|
||
+ set_emin (MPFR_EMIN_MIN);
|
||
+ set_emax (MPFR_EMAX_MAX);
|
||
+
|
||
+ mpfr_init2 (x, 7);
|
||
+ mpfr_inits2 (4, y1, y2, (mpfr_ptr) 0);
|
||
+
|
||
+ mpfr_set_ui_2exp (x, 1, -2, MPFR_RNDN);
|
||
+ while (mpfr_regular_p (x))
|
||
+ {
|
||
+ /* Test the exponents up to 3 and with the maximum exponent
|
||
+ (to check potential intermediate overflow). */
|
||
+ if (MPFR_GET_EXP (x) == 4)
|
||
+ mpfr_set_exp (x, MPFR_EMAX_MAX);
|
||
+ e = MPFR_GET_EXP (x);
|
||
+ for (neg = 0; neg < 2; neg++)
|
||
+ {
|
||
+ RND_LOOP (r)
|
||
+ {
|
||
+ int inex1, inex2;
|
||
+ mpfr_exp_t e1, e2;
|
||
+ unsigned int flags1, flags2;
|
||
+
|
||
+ for (red = 0; red < 2; red++)
|
||
+ {
|
||
+ if (red)
|
||
+ {
|
||
+ /* e1: exponent of the rounded value of x. */
|
||
+ MPFR_ASSERTN (e1 == e || e1 == e + 1);
|
||
+ set_emin (e);
|
||
+ set_emax (e);
|
||
+ mpfr_clear_flags ();
|
||
+ inex1 = e1 < 0 ?
|
||
+ mpfr_mul_2ui (y1, x, -e1, (mpfr_rnd_t) r) :
|
||
+ mpfr_div_2ui (y1, x, e1, (mpfr_rnd_t) r);
|
||
+ flags1 = __gmpfr_flags;
|
||
+ }
|
||
+ else
|
||
+ {
|
||
+ inex1 = mpfr_set (y1, x, (mpfr_rnd_t) r);
|
||
+ e1 = MPFR_IS_INF (y1) ? e + 1 : MPFR_GET_EXP (y1);
|
||
+ flags1 = inex1 != 0 ? MPFR_FLAGS_INEXACT : 0;
|
||
+ }
|
||
+ mpfr_clear_flags ();
|
||
+ inex2 = mpfr_frexp (&e2, y2, x, (mpfr_rnd_t) r);
|
||
+ flags2 = __gmpfr_flags;
|
||
+ set_emin (MPFR_EMIN_MIN);
|
||
+ set_emax (MPFR_EMAX_MAX);
|
||
+ if ((!red || e == 0) &&
|
||
+ (! mpfr_regular_p (y2) || MPFR_GET_EXP (y2) != 0))
|
||
+ {
|
||
+ printf ("Error in check1 for %s, red = %d, x = ",
|
||
+ mpfr_print_rnd_mode ((mpfr_rnd_t) r), red);
|
||
+ mpfr_dump (x);
|
||
+ printf ("Expected 1/2 <= |y| < 1, got y = ");
|
||
+ mpfr_dump (y2);
|
||
+ exit (1);
|
||
+ }
|
||
+ if (!red)
|
||
+ {
|
||
+ if (e2 > 0)
|
||
+ mpfr_mul_2ui (y2, y2, e2, MPFR_RNDN);
|
||
+ else if (e2 < 0)
|
||
+ mpfr_div_2ui (y2, y2, -e2, MPFR_RNDN);
|
||
+ }
|
||
+ if (! (SAME_SIGN (inex1, inex2) &&
|
||
+ mpfr_equal_p (y1, y2) &&
|
||
+ flags1 == flags2))
|
||
+ {
|
||
+ printf ("Error in check1 for %s, red = %d, x = ",
|
||
+ mpfr_print_rnd_mode ((mpfr_rnd_t) r), red);
|
||
+ mpfr_dump (x);
|
||
+ printf ("Expected y1 = ");
|
||
+ mpfr_dump (y1);
|
||
+ printf ("Got y2 = ");
|
||
+ mpfr_dump (y2);
|
||
+ printf ("Expected inex ~= %d, got %d\n", inex1, inex2);
|
||
+ printf ("Expected flags:");
|
||
+ flags_out (flags1);
|
||
+ printf ("Got flags: ");
|
||
+ flags_out (flags2);
|
||
+ exit (1);
|
||
+ }
|
||
+ }
|
||
+ }
|
||
+ mpfr_neg (x, x, MPFR_RNDN);
|
||
+ }
|
||
+ mpfr_nextabove (x);
|
||
+ }
|
||
+
|
||
+ mpfr_clears (x, y1, y2, (mpfr_ptr) 0);
|
||
+ set_emin (emin);
|
||
+ set_emax (emax);
|
||
+}
|
||
+
|
||
int
|
||
main (int argc, char *argv[])
|
||
{
|
||
tests_start_mpfr ();
|
||
|
||
check_special ();
|
||
+ check1 ();
|
||
|
||
tests_end_mpfr ();
|
||
return 0;
|