diff options
Diffstat (limited to 'manual/math.texi')
| -rw-r--r-- | manual/math.texi | 27 |
1 files changed, 26 insertions, 1 deletions
diff --git a/manual/math.texi b/manual/math.texi index 15a2075d33..fe9394b22d 100644 --- a/manual/math.texi +++ b/manual/math.texi @@ -1259,6 +1259,31 @@ $$\log(z) = \log(|z|) + i \arg(z)$$ @end iftex @end deftypefun + +@comment complex.h +@comment GNU +@deftypefun {complex double} clog10 (complex double @var{z}) +@deftypefunx {complex float} clog10f (complex float @var{z}) +@deftypefunx {complex long double} clog10l (complex long double @var{z}) +These functions return the base 10 logarithm of the complex value +@var{z}. Unlike the real value version @code{log} and its variants, +@code{clog} has no limit for the range of its argument @var{z}. + +@noindent +Mathematically this corresponds to the value + +@ifinfo +@math{log (z) = log10 (cabs (z)) + I * carg (z)} +@end ifinfo +@iftex +@tex +$$\log_{10}(z) = \log_{10}(|z|) + i \arg(z)$$ +@end tex +@end iftex + +This function is a GNU extension. +@end deftypefun + @comment complex.h @comment ISO @deftypefun {complex double} csqrt (complex double @var{z}) @@ -1274,7 +1299,7 @@ the value of the argument. @deftypefun {complex double} cpow (complex double @var{base}, complex double @var{power}) @deftypefunx {complex float} cpowf (complex float @var{base}, complex float @var{power}) @deftypefunx {complex long double} cpowl (complex long double @var{base}, complex long double @var{power}) -These functions return the complex value @var{BASE} raised to the power of +These functions return the complex value @var{base} raised to the power of @var{power}. This is computed as @ifinfo |