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-rw-r--r--manual/arith.texi20
1 files changed, 10 insertions, 10 deletions
diff --git a/manual/arith.texi b/manual/arith.texi
index 2e41883..431b4db 100644
--- a/manual/arith.texi
+++ b/manual/arith.texi
@@ -12,7 +12,7 @@ These functions are declared in the header files @file{math.h} and
* Not a Number:: Making NaNs and testing for NaNs.
* Imaginary Unit:: Constructing complex Numbers.
* Predicates on Floats:: Testing for infinity and for NaNs.
-* Floating-Point Classes:: Classifiy floating-point numbers.
+* Floating-Point Classes:: Classify floating-point numbers.
* Operations on Complex:: Projections, Conjugates, and Decomposing.
* Absolute Value:: Absolute value functions.
* Normalization Functions:: Hacks for radix-2 representations.
@@ -41,13 +41,13 @@ these situations. There is a special value for infinity.
@comment math.h
@comment ISO
@deftypevr Macro float_t INFINITY
-A expression representing the inifite value. @code{INFINITY} values are
+A expression representing the infinite value. @code{INFINITY} values are
produce 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{-INIFITY} is representable
+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
recommended way is to use the the @code{isinf} function.
@@ -103,7 +103,7 @@ such as by defining @code{_GNU_SOURCE}, and then you must include
@pindex complex.h
To construct complex numbers it is necessary have a way to express the
imaginary part of the numbers. In mathematics one uses the symbol ``i''
-to mark a number as imaginary. For convenienve the @file{complex.h}
+to mark a number as imaginary. For convenience the @file{complex.h}
header defines two macros which allow to use a similar easy notation.
@deftypevr Macro float_t _Imaginary_I
@@ -284,7 +284,7 @@ situation the function be absolutely necessary one can use
@end smallexample
@noindent
-to avoid the macro expansion. Using the macro has two big adavantages:
+to avoid the macro expansion. Using the macro has two big advantages:
it is more portable and one does not have to choose the right function
among @code{isnan}, @code{isnanf}, and @code{isnanl}.
@end deftypefn
@@ -297,7 +297,7 @@ among @code{isnan}, @code{isnanf}, and @code{isnanl}.
@cindex decompose complex numbers
This section lists functions performing some of the simple mathematical
-operations on complex numbers. Using any of the function requries that
+operations on complex numbers. Using any of the function requires that
the C compiler understands the @code{complex} keyword, introduced to the
C language in the @w{ISO C 9X} standard.
@@ -357,7 +357,7 @@ 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 infinte 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))
@@ -531,7 +531,7 @@ bit set.
This is not the same as @code{x < 0.0} since in some floating-point
formats (e.g., @w{IEEE 754}) the zero value is optionally signed. The
comparison @code{-0.0 < 0.0} will not be true while @code{signbit
-(-0.0)} will return a nonzeri value.
+(-0.0)} will return a nonzero value.
@end deftypefun
@node Rounding and Remainders
@@ -599,7 +599,7 @@ raise the inexact exception.
@comment math.h
@comment ISO
@deftypefun double modf (double @var{value}, double *@var{integer-part})
-@deftypefunx float modff (flaot @var{value}, float *@var{integer-part})
+@deftypefunx float modff (float @var{value}, float *@var{integer-part})
@deftypefunx {long double} modfl (long double @var{value}, long double *@var{integer-part})
These functions break the argument @var{value} into an integer part and a
fractional part (between @code{-1} and @code{1}, exclusive). Their sum
@@ -1060,7 +1060,7 @@ 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
-flaoting-point formats supports this. The form with 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, the NaN value can have a lot of forms since only