Manual typos: Mathematics
2016-05-06 Rical Jasan <ricaljasan@pacific.net> * manual/math.texi: Fix typos in the manual.
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Rical Jasan
Siddhesh Poyarekar
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@ -1,5 +1,7 @@
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2016-10-06 Rical Jasan <ricaljasan@pacific.net>
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* manual/math.texi: Fix typos in the manual.
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* manual/syslog.texi: Fix typos in the manual.
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* manual/terminal.texi: Fix typos in the manual.
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@ -210,7 +210,7 @@ function to do that.
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@deftypefunx void sincosl (long double @var{x}, long double *@var{sinx}, long double *@var{cosx})
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@safety{@prelim{}@mtsafe{}@assafe{}@acsafe{}}
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These functions return the sine of @var{x} in @code{*@var{sinx}} and the
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cosine of @var{x} in @code{*@var{cos}}, where @var{x} is given in
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cosine of @var{x} in @code{*@var{cosx}}, where @var{x} is given in
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radians. Both values, @code{*@var{sinx}} and @code{*@var{cosx}}, are in
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the range of @code{-1} to @code{1}.
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@ -303,7 +303,7 @@ pole.
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@section Inverse Trigonometric Functions
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@cindex inverse trigonometric functions
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These are the usual arc sine, arc cosine and arc tangent functions,
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These are the usual arcsine, arccosine and arctangent functions,
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which are the inverses of the sine, cosine and tangent functions
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respectively.
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@ -317,12 +317,12 @@ respectively.
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@comment ISO
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@deftypefunx {long double} asinl (long double @var{x})
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@safety{@prelim{}@mtsafe{}@assafe{}@acsafe{}}
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These functions compute the arc sine of @var{x}---that is, the value whose
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These functions compute the arcsine of @var{x}---that is, the value whose
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sine is @var{x}. The value is in units of radians. Mathematically,
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there are infinitely many such values; the one actually returned is the
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one between @code{-pi/2} and @code{pi/2} (inclusive).
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The arc sine function is defined mathematically only
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The arcsine function is defined mathematically only
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over the domain @code{-1} to @code{1}. If @var{x} is outside the
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domain, @code{asin} signals a domain error.
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@end deftypefun
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@ -337,12 +337,12 @@ domain, @code{asin} signals a domain error.
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@comment ISO
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@deftypefunx {long double} acosl (long double @var{x})
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@safety{@prelim{}@mtsafe{}@assafe{}@acsafe{}}
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These functions compute the arc cosine of @var{x}---that is, the value
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These functions compute the arccosine of @var{x}---that is, the value
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whose cosine is @var{x}. The value is in units of radians.
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Mathematically, there are infinitely many such values; the one actually
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returned is the one between @code{0} and @code{pi} (inclusive).
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The arc cosine function is defined mathematically only
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The arccosine function is defined mathematically only
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over the domain @code{-1} to @code{1}. If @var{x} is outside the
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domain, @code{acos} signals a domain error.
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@end deftypefun
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@ -357,7 +357,7 @@ domain, @code{acos} signals a domain error.
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@comment ISO
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@deftypefunx {long double} atanl (long double @var{x})
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@safety{@prelim{}@mtsafe{}@assafe{}@acsafe{}}
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These functions compute the arc tangent of @var{x}---that is, the value
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These functions compute the arctangent of @var{x}---that is, the value
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whose tangent is @var{x}. The value is in units of radians.
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Mathematically, there are infinitely many such values; the one actually
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returned is the one between @code{-pi/2} and @code{pi/2} (inclusive).
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@ -373,7 +373,7 @@ returned is the one between @code{-pi/2} and @code{pi/2} (inclusive).
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@comment ISO
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@deftypefunx {long double} atan2l (long double @var{y}, long double @var{x})
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@safety{@prelim{}@mtsafe{}@assafe{}@acsafe{}}
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This function computes the arc tangent of @var{y}/@var{x}, but the signs
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This function computes the arctangent of @var{y}/@var{x}, but the signs
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of both arguments are used to determine the quadrant of the result, and
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@var{x} is permitted to be zero. The return value is given in radians
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and is in the range @code{-pi} to @code{pi}, inclusive.
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@ -402,7 +402,7 @@ If both @var{x} and @var{y} are zero, @code{atan2} returns zero.
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@comment ISO
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@deftypefunx {complex long double} casinl (complex long double @var{z})
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@safety{@prelim{}@mtsafe{}@assafe{}@acsafe{}}
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These functions compute the complex arc sine of @var{z}---that is, the
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These functions compute the complex arcsine of @var{z}---that is, the
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value whose sine is @var{z}. The value returned is in radians.
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Unlike the real-valued functions, @code{casin} is defined for all
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@ -419,7 +419,7 @@ values of @var{z}.
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@comment ISO
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@deftypefunx {complex long double} cacosl (complex long double @var{z})
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@safety{@prelim{}@mtsafe{}@assafe{}@acsafe{}}
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These functions compute the complex arc cosine of @var{z}---that is, the
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These functions compute the complex arccosine of @var{z}---that is, the
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value whose cosine is @var{z}. The value returned is in radians.
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Unlike the real-valued functions, @code{cacos} is defined for all
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@ -437,7 +437,7 @@ values of @var{z}.
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@comment ISO
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@deftypefunx {complex long double} catanl (complex long double @var{z})
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@safety{@prelim{}@mtsafe{}@assafe{}@acsafe{}}
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These functions compute the complex arc tangent of @var{z}---that is,
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These functions compute the complex arctangent of @var{z}---that is,
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the value whose tangent is @var{z}. The value is in units of radians.
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@end deftypefun
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@ -730,7 +730,7 @@ to subtraction of two numbers that are nearly equal.
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@comment ISO
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@deftypefunx {long double} log1pl (long double @var{x})
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@safety{@prelim{}@mtsafe{}@assafe{}@acsafe{}}
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These functions returns a value equivalent to @w{@code{log (1 + @var{x})}}.
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These functions return a value equivalent to @w{@code{log (1 + @var{x})}}.
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They are computed in a way that is accurate even if @var{x} is
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near zero.
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@end deftypefun
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@ -873,7 +873,7 @@ may signal overflow if @var{x} is too large.
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@comment ISO
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@deftypefunx {long double} coshl (long double @var{x})
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@safety{@prelim{}@mtsafe{}@assafe{}@acsafe{}}
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These function return the hyperbolic cosine of @var{x},
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These functions return the hyperbolic cosine of @var{x},
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defined mathematically as @w{@code{(exp (@var{x}) + exp (-@var{x})) / 2}}.
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They may signal overflow if @var{x} is too large.
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@end deftypefun
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@ -1146,7 +1146,7 @@ instead of in the @var{signgam} global. This means it is reentrant.
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@safety{@prelim{}@mtunsafe{@mtasurace{:signgam}}@asunsafe{}@acsafe{}}
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These functions exist for compatibility reasons. They are equivalent to
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@code{lgamma} etc. It is better to use @code{lgamma} since for one the
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name reflects better the actual computation, moreover @code{lgamma} is
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name reflects better the actual computation, and moreover @code{lgamma} is
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standardized in @w{ISO C99} while @code{gamma} is not.
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@end deftypefun
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@ -1298,7 +1298,7 @@ for functions in the math library, and does not aim for correctness in
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whether ``inexact'' exceptions are raised. Instead, the goals for
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accuracy of functions without fully specified results are as follows;
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some functions have bugs meaning they do not meet these goals in all
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cases. In future, @theglibc{} may provide some other correctly
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cases. In the future, @theglibc{} may provide some other correctly
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rounding functions under the names such as @code{crsin} proposed for
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an extension to ISO C.
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@ -1583,7 +1583,7 @@ pseudo-random number generator.
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@Theglibc{} contains four additional functions which contain the
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state as an explicit parameter and therefore make it possible to handle
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thread-local PRNGs. Beside this there is no difference. In fact, the
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thread-local PRNGs. Besides this there is no difference. In fact, the
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four functions already discussed are implemented internally using the
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following interfaces.
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@ -1785,7 +1785,7 @@ the user has called the @code{lcong48} function (see below).
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The @code{seed48} function initializes all 48 bits of the state of the
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internal random number generator from the contents of the parameter
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@var{seed16v}. Here the lower 16 bits of the first element of
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@var{see16v} initialize the least significant 16 bits of the internal
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@var{seed16v} initialize the least significant 16 bits of the internal
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state, the lower 16 bits of @code{@var{seed16v}[1]} initialize the mid-order
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16 bits of the state and the 16 lower bits of @code{@var{seed16v}[2]}
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initialize the most significant 16 bits of the state.
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@ -2027,7 +2027,7 @@ This means that no calls to the library functions may be necessary, and
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can increase the speed of generated code significantly. The drawback is
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that code size will increase, and the increase is not always negligible.
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There are two kind of inline functions: Those that give the same result
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There are two kinds of inline functions: those that give the same result
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as the library functions and others that might not set @code{errno} and
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might have a reduced precision and/or argument range in comparison with
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the library functions. The latter inline functions are only available
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