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-rw-r--r--manual/arith.texi17
1 files changed, 9 insertions, 8 deletions
diff --git a/manual/arith.texi b/manual/arith.texi
index 31d638c2a2..d0863f98df 100644
--- a/manual/arith.texi
+++ b/manual/arith.texi
@@ -41,15 +41,15 @@ these situations. There is a special value for infinity.
@comment math.h
@comment ISO
@deftypevr Macro float_t INFINITY
-A expression representing the infinite value. @code{INFINITY} values are
-produce by mathematical operations like @code{1.0 / 0.0}. It is
+An expression representing the infinite value. @code{INFINITY} values are
+produced by mathematical operations like @code{1.0 / 0.0}. It is
possible to continue the computations with this value since the basic
operations as well as the mathematical library functions are prepared to
handle values like this.
Beside @code{INFINITY} also the value @code{-INFINITY} is representable
and it is handled differently if needed. It is possible to test a
-variables for infinite value using a simple comparison but the
+value for infiniteness using a simple comparison but the
recommended way is to use the the @code{isinf} function.
This macro was introduced in the @w{ISO C 9X} standard.
@@ -357,7 +357,8 @@ cut along the negative real axis.
@deftypefunx {complex long double} cprojl (complex long double @var{z})
Return the projection of the complex value @var{z} on the Riemann
sphere. Values with a infinite complex part (even if the real part
-is NaN) are projected to positive infinite on the real axis. If the real part is infinite, the result is equivalent to
+is NaN) are projected to positive infinite on the real axis. If the
+real part is infinite, the result is equivalent to
@smallexample
INFINITY + I * copysign (0.0, cimag (z))
@@ -1060,13 +1061,13 @@ format supports this; and to the largest representable value otherwise.
If the input string is @code{"nan"} or
@code{"nan(@var{n-char-sequence})"} the return value of @code{strtod} is
the representation of the NaN (not a number) value (if the
-floating-point formats supports this. The form with the
-@var{n-char-sequence} enables in an implementation specific way to
-specify the form of the NaN value. When using the @w{IEEE 754}
+floating-point format supports this). In the second form the part
+@var{n-char-sequence} allows to specify the form of the NaN value in an
+implementation specific way. When using the @w{IEEE 754}
floating-point format, the NaN value can have a lot of forms since only
at least one bit in the mantissa must be set. In the GNU C library
implementation of @code{strtod} the @var{n-char-sequence} is interpreted
-as a number (as recognized by @code{strtol}, @pxref{Parsing of Integers})
+as a number (as recognized by @code{strtol}, @pxref{Parsing of Integers}).
The mantissa of the return value corresponds to this given number.
Since the value zero which is returned in the error case is also a valid