Functions to make calls to compiled code that has been loaded into R.
.C(.NAME, …, NAOK = FALSE, DUP = TRUE, PACKAGE, ENCODING)
 .Fortran(.NAME, …, NAOK = FALSE, DUP = TRUE, PACKAGE, ENCODING)A list similar to the … list of arguments passed in
  (including any names given to the arguments), but reflecting any
  changes made by the C or Fortran code.
The mapping of the types of R arguments to C or Fortran arguments is
| R | C | Fortran | 
| integer | int * | integer | 
| numeric | double * | double precision | 
| -- or -- | float * | real | 
| complex | Rcomplex * | double complex | 
| logical | int * | integer | 
| character | char ** | [see below] | 
| raw | unsigned char * | not allowed | 
| list | SEXP * | not allowed | 
| other | SEXP | not allowed | 
Note: The C types corresponding to integer and
  logical are int, not long as in S.  This
  difference matters on most 64-bit platforms, where int is
  32-bit and long is 64-bit (but not on 64-bit Windows).
Note: The Fortran type corresponding to logical is
  integer, not logical: the difference matters on some
  Fortran compilers.
Numeric vectors in R will be passed as type double * to C
  (and as double precision to Fortran) unless the argument has
  attribute Csingle set to TRUE (use
  as.single or single).  This mechanism is
  only intended to be used to facilitate the interfacing of existing C
  and Fortran code.
The C type Rcomplex is defined in Complex.h as a
  typedef struct {double r; double i;}.  It may or may not be
  equivalent to the C99 double complex type, depending on the
  compiler used.
Logical values are sent as 0 (FALSE), 1
  (TRUE) or INT_MIN = -2147483648 (NA, but only if
  NAOK = TRUE), and the compiled code should return one of these
  three values: however non-zero values other than INT_MIN are
  mapped to TRUE.
Missing (NA) string values are passed to .C as the string
  "NA". As the C char type can represent all possible bit patterns
  there appears to be no way to distinguish missing strings from the
  string "NA".  If this distinction is important use .Call.
Using a character string with .Fortran is deprecated and will
  give a warning.  It passes the first (only) character string of a
  character vector as a C character array to Fortran: that may be usable
  as character*255 if its true length is passed separately.  Only
  up to 255 characters of the string are passed back.  (How well this
  works, and even if it works at all, depends on the C and Fortran
  compilers and the platform.)
Lists, functions are other R objects can (for historical reasons) be
  passed to .C, but the .Call interface is much
  preferred.  All inputs apart from atomic vectors should be regarded as
  read-only, and all apart from vectors (including lists), functions and
  environments are now deprecated.
All Fortran compilers known to be usable to compile R map symbol names
  to lower case, and so does .Fortran.
Symbol names containing underscores are not valid Fortran 77 (although
  they are valid in Fortran 9x).  Many Fortran 77 compilers will allow
  them but may translate them in a different way to names not containing
  underscores.  Such names will often work with .Fortran (since
  how they are translated is detected when R is built and the
  information used by .Fortran), but portable code should not use
  Fortran names containing underscores.
Use .Fortran with care for compiled Fortran 9x code: it may not
  work if the Fortran 9x compiler used differs from the Fortran 77
  compiler used when configuring R, especially if the subroutine name
  is not lower-case or includes an underscore.  It is possible to use
  .C and do any necessary symbol-name translation yourself.
Character vectors are copied before calling the compiled code and to collect the results. For other atomic vectors the argument is copied before calling the compiled code if it is otherwise used in the calling code.
Non-atomic-vector objects are read-only to the C code and are never copied.
This behaviour can be changed by setting
  options(CBoundsCheck = TRUE).  In that case raw,
  logical, integer, double and complex vector arguments are copied both
  before and after calling the compiled code.  The first copy made is
  extended at each end by guard bytes, and on return it is checked that
  these are unaltered.  For .C, each element of a character
  vector uses guard bytes.
These functions can be used to make calls to compiled C and Fortran 77
  code.  Later interfaces are .Call and
  .External which are more flexible and have better
  performance.
These functions are primitive, and .NAME is always
  matched to the first argument supplied (which should not be named).
  The other named arguments follow … and so cannot be
  abbreviated.  For clarity, should avoid using names in the arguments
  passed to … that match or partially match .NAME.
Becker, R. A., Chambers, J. M. and Wilks, A. R. (1988) The New S Language. Wadsworth & Brooks/Cole.
The ‘Writing R Extensions’ manual.