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Diffstat (limited to 'manual/arith.texi')
| -rw-r--r-- | manual/arith.texi | 20 |
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 |