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Stdlib(3o)                       OCaml library                      Stdlib(3o)

NAME
       Stdlib - The OCaml Standard library.

Module
       Module   Stdlib

Documentation
       Module Stdlib
        : sig end

       The OCaml Standard library.

       This  module  is automatically opened at the beginning of each compila-
       tion. All components of this module can therefore be referred by  their
       short name, without prefixing them by Stdlib .

       It particular, it provides the basic operations over the built-in types
       (numbers, booleans, byte sequences,  strings,  exceptions,  references,
       lists, arrays, input-output channels, ...) and the modules .

   Exceptions
       val raise : exn -> 'a

       Raise the given exception value

       val raise_notrace : exn -> 'a

       A faster version raise which does not record the backtrace.

       Since 4.02.0

       val invalid_arg : string -> 'a

       Raise exception Invalid_argument with the given string.

       val failwith : string -> 'a

       Raise exception Failure with the given string.

       exception Exit

       The  Exit  exception is not raised by any library function.  It is pro-
       vided for use in your programs.

       exception Match_failure of (string * int * int)

       Exception raised when none of the cases of  a  pattern-matching  apply.
       The  arguments are the location of the match keyword in the source code
       (file name, line number, column number).

       exception Assert_failure of (string * int * int)

       Exception raised when an assertion fails. The arguments are  the  loca-
       tion  of the assert keyword in the source code (file name, line number,
       column number).

       exception Invalid_argument of string

       Exception raised by library functions to signal that  the  given  argu-
       ments  do not make sense. The string gives some information to the pro-
       grammer. As a general rule, this exception should not be caught, it de-
       notes  a programming error and the code should be modified not to trig-
       ger it.

       exception Failure of string

       Exception raised by library functions to signal that they are undefined
       on the given arguments. The string is meant to give some information to
       the programmer; you must not pattern match on the  string  literal  be-
       cause it may change in future versions (use Failure _ instead).

       exception Not_found

       Exception  raised by search functions when the desired object could not
       be found.

       exception Out_of_memory

       Exception raised by the garbage collector when  there  is  insufficient
       memory  to  complete  the computation. (Not reliable for allocations on
       the minor heap.)

       exception Stack_overflow

       Exception raised by the bytecode interpreter when the evaluation  stack
       reaches  its maximal size. This often indicates infinite or excessively
       deep recursion in the user's program.

       Before 4.10, it was not fully implemented by the native-code compiler.

       exception Sys_error of string

       Exception raised by the input/output functions to report  an  operating
       system  error. The string is meant to give some information to the pro-
       grammer; you must not pattern match on the string  literal  because  it
       may change in future versions (use Sys_error _ instead).

       exception End_of_file

       Exception  raised by input functions to signal that the end of file has
       been reached.

       exception Division_by_zero

       Exception raised by integer  division  and  remainder  operations  when
       their second argument is zero.

       exception Sys_blocked_io

       A  special  case  of  Sys_error  raised  when  no  I/O is possible on a
       non-blocking I/O channel.

       exception Undefined_recursive_module of (string * int * int)

       Exception raised when an ill-founded  recursive  module  definition  is
       evaluated.  The  arguments  are  the  location of the definition in the
       source code (file name, line number, column number).

   Comparisons
       val (=) : 'a -> 'a -> bool

       e1 = e2 tests for structural equality of e1 and e2  .   Mutable  struc-
       tures  (e.g. references and arrays) are equal if and only if their cur-
       rent contents are structurally equal, even if the two  mutable  objects
       are  not  the same physical object.  Equality between functional values
       raises Invalid_argument .  Equality between cyclic data structures  may
       not terminate.  Left-associative operator, see Ocaml_operators for more
       information.

       val (<>) : 'a -> 'a -> bool

       Negation of (=) .  Left-associative operator, see  Ocaml_operators  for
       more information.

       val (<) : 'a -> 'a -> bool

       See (>=) .  Left-associative operator, see Ocaml_operators for more in-
       formation.

       val (>) : 'a -> 'a -> bool

       See (>=) .  Left-associative operator,  see  Ocaml_operators  for  more
       information.

       val (<=) : 'a -> 'a -> bool

       See  (>=)  .   Left-associative operator,  see Ocaml_operators for more
       information.

       val (>=) : 'a -> 'a -> bool

       Structural ordering functions. These functions coincide with the  usual
       orderings over integers, characters, strings, byte sequences and float-
       ing-point numbers, and extend them to a total ordering over all  types.
       The ordering is compatible with ( = ) . As in the case of ( = ) , muta-
       ble structures are compared by contents.  Comparison between functional
       values  raises Invalid_argument .  Comparison between cyclic structures
       may not terminate.  Left-associative operator, see Ocaml_operators  for
       more information.

       val compare : 'a -> 'a -> int

       compare  x  y returns 0 if x is equal to y , a negative integer if x is
       less than y , and a positive integer if x is greater than y .  The  or-
       dering  implemented by compare is compatible with the comparison predi-
       cates = , < and > defined above,  with one difference on the  treatment
       of  the  float value nan .  Namely, the comparison predicates treat nan
       as different from any other float value, including itself;  while  com-
       pare treats nan as equal to itself and less than any other float value.
       This treatment of nan ensures that compare defines a total ordering re-
       lation.

       compare applied to functional values may raise Invalid_argument .  com-
       pare applied to cyclic structures may not terminate.

       The compare function can be used as the comparison function required by
       the  Set.Make  and  Map.Make functors, as well as the List.sort and Ar-
       ray.sort functions.

       val min : 'a -> 'a -> 'a

       Return the smaller of the two arguments.  The result is unspecified  if
       one of the arguments contains the float value nan .

       val max : 'a -> 'a -> 'a

       Return  the greater of the two arguments.  The result is unspecified if
       one of the arguments contains the float value nan .

       val (==) : 'a -> 'a -> bool

       e1 == e2 tests for physical equality of e1 and e2 .  On  mutable  types
       such as references, arrays, byte sequences, records with mutable fields
       and objects with mutable instance variables, e1 == e2 is  true  if  and
       only  if  physical modification of e1 also affects e2 .  On non-mutable
       types, the behavior of ( == ) is implementation-dependent; however,  it
       is  guaranteed that e1 == e2 implies compare e1 e2 = 0 .  Left-associa-
       tive operator,  see Ocaml_operators for more information.

       val (!=) : 'a -> 'a -> bool

       Negation of (==) .  Left-associative operator,  see Ocaml_operators for
       more information.

   Boolean operations
       val not : bool -> bool

       The boolean negation.

       val (&&) : bool -> bool -> bool

       The boolean 'and'. Evaluation is sequential, left-to-right: in e1 && e2
       , e1 is evaluated first, and if it returns false , e2 is not  evaluated
       at  all.  Right-associative operator,  see Ocaml_operators for more in-
       formation.

       val (&) : bool -> bool -> bool

       Deprecated.

       (&&) should be used instead.  Right-associative operator, see Ocaml_op-
       erators for more information.

       val (||) : bool -> bool -> bool

       The  boolean 'or'. Evaluation is sequential, left-to-right: in e1 || e2
       , e1 is evaluated first, and if it returns true , e2 is  not  evaluated
       at  all.  Right-associative operator,  see Ocaml_operators for more in-
       formation.

       val (or) : bool -> bool -> bool

       Deprecated.

       (||) should be used instead.  Right-associative operator, see Ocaml_op-
       erators for more information.

   Debugging
       val __LOC__ : string

       __LOC__  returns  the  location at which this expression appears in the
       file currently being parsed by the compiler, with  the  standard  error
       format of OCaml: "File %S, line %d, characters %d-%d".

       Since 4.02.0

       val __FILE__ : string

       __FILE__  returns  the  name  of the file currently being parsed by the
       compiler.

       Since 4.02.0

       val __LINE__ : int

       __LINE__ returns the line number at which this  expression  appears  in
       the file currently being parsed by the compiler.

       Since 4.02.0

       val __MODULE__ : string

       __MODULE__ returns the module name of the file being parsed by the com-
       piler.

       Since 4.02.0

       val __POS__ : string * int * int * int

       __POS__ returns a tuple (file,lnum,cnum,enum) ,  corresponding  to  the
       location  at  which this expression appears in the file currently being
       parsed by the compiler.  file is the current filename,  lnum  the  line
       number, cnum the character position in the line and enum the last char-
       acter position in the line.

       Since 4.02.0

       val __FUNCTION__ : string

       __FUNCTION__ returns the name of the current function  or  method,  in-
       cluding any enclosing modules or classes.

       Since 4.12.0

       val __LOC_OF__ : 'a -> string * 'a

       __LOC_OF__ expr returns a pair (loc, expr) where loc is the location of
       expr in the file currently being parsed by the compiler, with the stan-
       dard error format of OCaml: "File %S, line %d, characters %d-%d".

       Since 4.02.0

       val __LINE_OF__ : 'a -> int * 'a

       __LINE_OF__  expr  returns a pair (line, expr) , where line is the line
       number at which the expression expr appears in the file currently being
       parsed by the compiler.

       Since 4.02.0

       val __POS_OF__ : 'a -> (string * int * int * int) * 'a

       __POS_OF__  expr  returns  a  pair  (loc,expr)  ,  where loc is a tuple
       (file,lnum,cnum,enum) corresponding to the location at  which  the  ex-
       pression  expr  appears  in the file currently being parsed by the com-
       piler.  file is the current filename, lnum the line  number,  cnum  the
       character  position in the line and enum the last character position in
       the line.

       Since 4.02.0

   Composition operators
       val (|>) : 'a -> ('a -> 'b) -> 'b

       Reverse-application operator: x |> f |> g is exactly equivalent to g (f
       (x))  .  Left-associative operator, see Ocaml_operators for more infor-
       mation.

       Since 4.01

       val (@@) : ('a -> 'b) -> 'a -> 'b

       Application operator: g @@ f @@ x is exactly equivalent to g (f (x))  .
       Right-associative operator, see Ocaml_operators for more information.

       Since 4.01

   Integer arithmetic
       Integers  are  Sys.int_size bits wide.  All operations are taken modulo
       2^ Sys.int_size .  They do not fail on overflow.

       val (~-) : int -> int

       Unary negation. You can also write - e instead of ~- e .  Unary  opera-
       tor, see Ocaml_operators for more information.

       val (~+) : int -> int

       Unary  addition. You can also write + e instead of ~+ e .  Unary opera-
       tor, see Ocaml_operators for more information.

       Since 3.12.0

       val succ : int -> int

       succ x is x + 1 .

       val pred : int -> int

       pred x is x - 1 .

       val (+) : int -> int -> int

       Integer addition.  Left-associative operator, see  Ocaml_operators  for
       more information.

       val (-) : int -> int -> int

       Integer  subtraction.  Left-associative operator, , see Ocaml_operators
       for more information.

       val ( * ) : int -> int -> int

       Integer multiplication.  Left-associative operator, see Ocaml_operators
       for more information.

       val (/) : int -> int -> int

       Integer division.  Integer division rounds the real quotient of its ar-
       guments towards zero.  More precisely, if x >= 0 and y > 0 , x /  y  is
       the  greatest integer less than or equal to the real quotient of x by y
       .  Moreover, (- x) / y = x / (- y) = - (x / y) .  Left-associative  op-
       erator, see Ocaml_operators for more information.

       Raises Division_by_zero if the second argument is 0.

       val (mod) : int -> int -> int

       Integer  remainder.   If y is not zero, the result of x mod y satisfies
       the following properties: x = (x / y) * y + x mod y and abs(x mod y) <=
       abs(y) - 1 .  If y = 0 , x mod y raises Division_by_zero .  Note that x
       mod y is negative only if x  <  0  .   Left-associative  operator,  see
       Ocaml_operators for more information.

       Raises Division_by_zero if y is zero.

       val abs : int -> int

       Return the absolute value of the argument.  Note that this may be nega-
       tive if the argument is min_int .

       val max_int : int

       The greatest representable integer.

       val min_int : int

       The smallest representable integer.

   Bitwise operations
       val (land) : int -> int -> int

       Bitwise logical and.  Left-associative  operator,  see  Ocaml_operators
       for more information.

       val (lor) : int -> int -> int

       Bitwise logical or.  Left-associative operator, see Ocaml_operators for
       more information.

       val (lxor) : int -> int -> int

       Bitwise logical exclusive or.  Left-associative operator, see Ocaml_op-
       erators for more information.

       val lnot : int -> int

       Bitwise logical negation.

       val (lsl) : int -> int -> int

       n lsl m shifts n to the left by m bits.  The result is unspecified if m
       < 0 or m > Sys.int_size .  Right-associative operator, see Ocaml_opera-
       tors for more information.

       val (lsr) : int -> int -> int

       n  lsr m shifts n to the right by m bits.  This is a logical shift: ze-
       roes are inserted regardless of the sign of n .  The result is unspeci-
       fied  if  m  < 0 or m > Sys.int_size .  Right-associative operator, see
       Ocaml_operators for more information.

       val (asr) : int -> int -> int

       n asr m shifts n to the right by m bits.  This is an arithmetic  shift:
       the sign bit of n is replicated.  The result is unspecified if m < 0 or
       m > Sys.int_size .  Right-associative operator, see Ocaml_operators for
       more information.

   Floating-point arithmetic
       OCaml's floating-point numbers follow the IEEE 754 standard, using dou-
       ble precision (64 bits) numbers.  Floating-point operations never raise
       an  exception  on overflow, underflow, division by zero, etc.  Instead,
       special IEEE numbers are returned as appropriate, such as infinity  for
       1.0  /.  0.0  , neg_infinity for -1.0 /. 0.0 , and nan ('not a number')
       for 0.0 /. 0.0 .  These special numbers then propagate  through  float-
       ing-point  computations  as  expected: for instance, 1.0 /. infinity is
       0.0 , basic arithmetic operations ( +.  , -.  , *.  , /.  ) with nan as
       an argument return nan , ...

       val (~-.)  : float -> float

       Unary negation. You can also write -. e instead of ~-. e .  Unary oper-
       ator, see Ocaml_operators for more information.

       val (~+.)  : float -> float

       Unary addition. You can also write +. e instead of ~+. e .  Unary oper-
       ator, see Ocaml_operators for more information.

       Since 3.12.0

       val (+.)  : float -> float -> float

       Floating-point  addition.   Left-associative operator, see Ocaml_opera-
       tors for more information.

       val (-.)  : float -> float -> float

       Floating-point subtraction.  Left-associative operator, see Ocaml_oper-
       ators for more information.

       val ( *. ) : float -> float -> float

       Floating-point    multiplication.    Left-associative   operator,   see
       Ocaml_operators for more information.

       val (/.)  : float -> float -> float

       Floating-point division.  Left-associative operator,  see  Ocaml_opera-
       tors for more information.

       val ( ** ) : float -> float -> float

       Exponentiation.   Right-associative  operator,  see Ocaml_operators for
       more information.

       val sqrt : float -> float

       Square root.

       val exp : float -> float

       Exponential.

       val log : float -> float

       Natural logarithm.

       val log10 : float -> float

       Base 10 logarithm.

       val expm1 : float -> float

       expm1 x computes exp x -. 1.0  ,  giving  numerically-accurate  results
       even if x is close to 0.0 .

       Since 3.12.0

       val log1p : float -> float

       log1p  x  computes  log(1.0  +.  x) (natural logarithm), giving numeri-
       cally-accurate results even if x is close to 0.0 .

       Since 3.12.0

       val cos : float -> float

       Cosine.  Argument is in radians.

       val sin : float -> float

       Sine.  Argument is in radians.

       val tan : float -> float

       Tangent.  Argument is in radians.

       val acos : float -> float

       Arc cosine.  The argument must fall within the range [-1.0, 1.0] .  Re-
       sult is in radians and is between 0.0 and pi .

       val asin : float -> float

       Arc  sine.   The argument must fall within the range [-1.0, 1.0] .  Re-
       sult is in radians and is between -pi/2 and pi/2 .

       val atan : float -> float

       Arc tangent.  Result is in radians and is between -pi/2 and pi/2 .

       val atan2 : float -> float -> float

       atan2 y x returns the arc tangent of y /. x .  The signs of x and y are
       used to determine the quadrant of the result.  Result is in radians and
       is between -pi and pi .

       val hypot : float -> float -> float

       hypot x y returns sqrt(x *. x + y *. y) , that is, the  length  of  the
       hypotenuse  of  a  right-angled triangle with sides of length x and y ,
       or, equivalently, the distance of the point (x,y) to origin.  If one of
       x or y is infinite, returns infinity even if the other is nan .

       Since 4.00.0

       val cosh : float -> float

       Hyperbolic cosine.  Argument is in radians.

       val sinh : float -> float

       Hyperbolic sine.  Argument is in radians.

       val tanh : float -> float

       Hyperbolic tangent.  Argument is in radians.

       val acosh : float -> float

       Hyperbolic  arc  cosine.  The argument must fall within the range [1.0,
       inf] .  Result is in radians and is between 0.0 and inf .

       Since 4.13.0

       val asinh : float -> float

       Hyperbolic arc sine.  The argument and result  range  over  the  entire
       real line.  Result is in radians.

       Since 4.13.0

       val atanh : float -> float

       Hyperbolic arc tangent.  The argument must fall within the range [-1.0,
       1.0] .  Result is in radians and ranges over the entire real line.

       Since 4.13.0

       val ceil : float -> float

       Round above to an integer value.  ceil  f  returns  the  least  integer
       value greater than or equal to f .  The result is returned as a float.

       val floor : float -> float

       Round  below to an integer value.  floor f returns the greatest integer
       value less than or equal to f .  The result is returned as a float.

       val abs_float : float -> float

       abs_float f returns the absolute value of f .

       val copysign : float -> float -> float

       copysign x y returns a float whose absolute value  is  that  of  x  and
       whose  sign  is that of y .  If x is nan , returns nan .  If y is nan ,
       returns either x or -. x , but it is not specified which.

       Since 4.00.0

       val mod_float : float -> float -> float

       mod_float a b returns the remainder of a with respect to b .   The  re-
       turned  value  is  a -. n *. b , where n is the quotient a /. b rounded
       towards zero to an integer.

       val frexp : float -> float * int

       frexp f returns the pair of the significant and the  exponent  of  f  .
       When  f is zero, the significant x and the exponent n of f are equal to
       zero.  When f is non-zero, they are defined by f = x *. 2 ** n and  0.5
       <= x < 1.0 .

       val ldexp : float -> int -> float

       ldexp x n returns x *. 2 ** n .

       val modf : float -> float * float

       modf f returns the pair of the fractional and integral part of f .

       val float : int -> float

       Same as float_of_int .

       val float_of_int : int -> float

       Convert an integer to floating-point.

       val truncate : float -> int

       Same as int_of_float .

       val int_of_float : float -> int

       Truncate  the given floating-point number to an integer.  The result is
       unspecified if the argument is nan or falls outside the range of repre-
       sentable integers.

       val infinity : float

       Positive infinity.

       val neg_infinity : float

       Negative infinity.

       val nan : float

       A  special floating-point value denoting the result of an undefined op-
       eration such as 0.0 /. 0.0 .  Stands for 'not a  number'.   Any  float-
       ing-point operation with nan as argument returns nan as result.  As for
       floating-point comparisons, = , < , <= , > and >= return false  and  <>
       returns true if one or both of their arguments is nan .

       val max_float : float

       The largest positive finite value of type float .

       val min_float : float

       The smallest positive, non-zero, non-denormalized value of type float .

       val epsilon_float : float

       The  difference  between  1.0  and  the  smallest exactly representable
       floating-point number greater than 1.0 .

       type fpclass =
        | FP_normal  (* Normal number, none of the below
        *)
        | FP_subnormal  (* Number very close to 0.0, has reduced precision
        *)
        | FP_zero  (* Number is 0.0 or -0.0
        *)
        | FP_infinite  (* Number is positive or negative infinity
        *)
        | FP_nan  (* Not a number: result of an undefined operation
        *)

       The five classes of floating-point numbers, as determined by the  clas-
       sify_float function.

       val classify_float : float -> fpclass

       Return the class of the given floating-point number: normal, subnormal,
       zero, infinite, or not a number.

   String operations
       More string operations are provided in module String .

       val (^) : string -> string -> string

       String concatenation.  Right-associative operator, see  Ocaml_operators
       for more information.

       Raises   Invalid_argument   if   the   result   is   longer  then  than
       Sys.max_string_length bytes.

   Character operations
       More character operations are provided in module Char .

       val int_of_char : char -> int

       Return the ASCII code of the argument.

       val char_of_int : int -> char

       Return the character with the given ASCII code.

       Raises Invalid_argument if the argument is outside the range 0--255.

   Unit operations
       val ignore : 'a -> unit

       Discard the value of its argument and return () .   For  instance,  ig-
       nore(f x) discards the result of the side-effecting function f .  It is
       equivalent to f x; () , except that the latter may generate a  compiler
       warning; writing ignore(f x) instead avoids the warning.

   String conversion functions
       val string_of_bool : bool -> string

       Return  the  string representation of a boolean. As the returned values
       may be shared, the user should not modify them directly.

       val bool_of_string_opt : string -> bool option

       Convert the given string to a boolean.

       Return None if the string is not "true" or "false" .

       Since 4.05

       val bool_of_string : string -> bool

       Same   as   bool_of_string_opt    ,    but    raise    Invalid_argument
       "bool_of_string" instead of returning None .

       val string_of_int : int -> string

       Return the string representation of an integer, in decimal.

       val int_of_string_opt : string -> int option

       Convert  the given string to an integer.  The string is read in decimal
       (by default, or if the string begins with 0u ), in hexadecimal  (if  it
       begins  with  0x or 0X ), in octal (if it begins with 0o or 0O ), or in
       binary (if it begins with 0b or 0B ).

       The 0u prefix reads the input as an unsigned integer in the  range  [0,
       2*max_int+1]  .   If  the  input exceeds max_int it is converted to the
       signed integer min_int + input - max_int - 1 .

       The _ (underscore) character can appear anywhere in the string  and  is
       ignored.

       Return None if the given string is not a valid representation of an in-
       teger, or if the integer represented exceeds the range of integers rep-
       resentable in type int .

       Since 4.05

       val int_of_string : string -> int

       Same  as  int_of_string_opt , but raise Failure "int_of_string" instead
       of returning None .

       val string_of_float : float -> string

       Return the string representation of a floating-point number.

       val float_of_string_opt : string -> float option

       Convert the given string to a float.  The string is read in decimal (by
       default) or in hexadecimal (marked by 0x or 0X ).

       The  format of decimal floating-point numbers is [-] dd.ddd (e|E) [+|-]
       dd , where d stands for a decimal digit.

       The format of hexadecimal floating-point numbers is [-]  0(x|X)  hh.hhh
       (p|P)  [+|-]  dd  , where h stands for an hexadecimal digit and d for a
       decimal digit.

       In both cases, at least one of the integer and fractional parts must be
       given; the exponent part is optional.

       The  _  (underscore) character can appear anywhere in the string and is
       ignored.

       Depending on the execution platforms, other representations  of  float-
       ing-point numbers can be accepted, but should not be relied upon.

       Return  None  if  the  given  string is not a valid representation of a
       float.

       Since 4.05

       val float_of_string : string -> float

       Same as float_of_string_opt , but raise Failure  "float_of_string"  in-
       stead of returning None .

   Pair operations
       val fst : 'a * 'b -> 'a

       Return the first component of a pair.

       val snd : 'a * 'b -> 'b

       Return the second component of a pair.

   List operations
       More list operations are provided in module List .

       val (@) : 'a list -> 'a list -> 'a list

       List concatenation.  Not tail-recursive (length of the first argument).
       Right-associative operator, see Ocaml_operators for more information.

   Input/output
       Note: all input/output functions can raise Sys_error  when  the  system
       calls they invoke fail.

       type in_channel

       The type of input channel.

       type out_channel

       The type of output channel.

       val stdin : in_channel

       The standard input for the process.

       val stdout : out_channel

       The standard output for the process.

       val stderr : out_channel

       The standard error output for the process.

   Output functions on standard output
       val print_char : char -> unit

       Print a character on standard output.

       val print_string : string -> unit

       Print a string on standard output.

       val print_bytes : bytes -> unit

       Print a byte sequence on standard output.

       Since 4.02.0

       val print_int : int -> unit

       Print an integer, in decimal, on standard output.

       val print_float : float -> unit

       Print a floating-point number, in decimal, on standard output.

       val print_endline : string -> unit

       Print a string, followed by a newline character, on standard output and
       flush standard output.

       val print_newline : unit -> unit

       Print a newline character on standard output, and flush  standard  out-
       put. This can be used to simulate line buffering of standard output.

   Output functions on standard error
       val prerr_char : char -> unit

       Print a character on standard error.

       val prerr_string : string -> unit

       Print a string on standard error.

       val prerr_bytes : bytes -> unit

       Print a byte sequence on standard error.

       Since 4.02.0

       val prerr_int : int -> unit

       Print an integer, in decimal, on standard error.

       val prerr_float : float -> unit

       Print a floating-point number, in decimal, on standard error.

       val prerr_endline : string -> unit

       Print  a  string, followed by a newline character on standard error and
       flush standard error.

       val prerr_newline : unit -> unit

       Print a newline character on standard error, and flush standard error.

   Input functions on standard input
       val read_line : unit -> string

       Flush standard output, then read characters from standard input until a
       newline  character  is encountered. Return the string of all characters
       read, without the newline character at the end.

       val read_int_opt : unit -> int option

       Flush standard output, then read one line from standard input and  con-
       vert it to an integer.

       Return  None if the line read is not a valid representation of an inte-
       ger.

       Since 4.05

       val read_int : unit -> int

       Same as read_int_opt , but raise Failure "int_of_string" instead of re-
       turning None .

       val read_float_opt : unit -> float option

       Flush  standard output, then read one line from standard input and con-
       vert it to a floating-point number.

       Return None if the line read is not a valid representation of a  float-
       ing-point number.

       Since 4.05.0

       val read_float : unit -> float

       Same as read_float_opt , but raise Failure "float_of_string" instead of
       returning None .

   General output functions
       type open_flag =
        | Open_rdonly  (* open for reading.
        *)
        | Open_wronly  (* open for writing.
        *)
        | Open_append  (* open for appending: always write at end of file.
        *)
        | Open_creat  (* create the file if it does not exist.
        *)
        | Open_trunc  (* empty the file if it already exists.
        *)
        | Open_excl  (* fail if Open_creat and the file already exists.
        *)
        | Open_binary  (* open in binary mode (no conversion).
        *)
        | Open_text  (* open in text mode (may perform conversions).
        *)
        | Open_nonblock  (* open in non-blocking mode.
        *)

       Opening modes for open_out_gen and open_in_gen .

       val open_out : string -> out_channel

       Open the named file for writing, and return a  new  output  channel  on
       that  file,  positioned at the beginning of the file. The file is trun-
       cated to zero length if it already exists. It is created if it does not
       already exists.

       val open_out_bin : string -> out_channel

       Same  as  open_out  , but the file is opened in binary mode, so that no
       translation takes place during writes. On operating systems that do not
       distinguish  between  text  mode and binary mode, this function behaves
       like open_out .

       val open_out_gen : open_flag list -> int -> string -> out_channel

       open_out_gen mode perm filename opens the named file  for  writing,  as
       described  above.  The  extra argument mode specifies the opening mode.
       The extra argument perm specifies the file  permissions,  in  case  the
       file  must  be created.  open_out and open_out_bin are special cases of
       this function.

       val flush : out_channel -> unit

       Flush the buffer associated with the given output  channel,  performing
       all pending writes on that channel.  Interactive programs must be care-
       ful about flushing standard output and  standard  error  at  the  right
       time.

       val flush_all : unit -> unit

       Flush all open output channels; ignore errors.

       val output_char : out_channel -> char -> unit

       Write the character on the given output channel.

       val output_string : out_channel -> string -> unit

       Write the string on the given output channel.

       val output_bytes : out_channel -> bytes -> unit

       Write the byte sequence on the given output channel.

       Since 4.02.0

       val output : out_channel -> bytes -> int -> int -> unit

       output  oc  buf  pos len writes len characters from byte sequence buf ,
       starting at offset pos , to the given output channel oc .

       Raises Invalid_argument if pos and len do not designate a  valid  range
       of buf .

       val output_substring : out_channel -> string -> int -> int -> unit

       Same  as  output  but  take  a string as argument instead of a byte se-
       quence.

       Since 4.02.0

       val output_byte : out_channel -> int -> unit

       Write one 8-bit integer (as the single character with that code) on the
       given output channel. The given integer is taken modulo 256.

       val output_binary_int : out_channel -> int -> unit

       Write  one  integer in binary format (4 bytes, big-endian) on the given
       output channel.  The given integer is taken modulo 2^32.  The only  re-
       liable  way  to  read it back is through the input_binary_int function.
       The format is compatible across all machines for  a  given  version  of
       OCaml.

       val output_value : out_channel -> 'a -> unit

       Write  the  representation of a structured value of any type to a chan-
       nel. Circularities and sharing inside the value are detected  and  pre-
       served.  The object can be read back, by the function input_value . See
       the description of module Marshal for more  information.   output_value
       is equivalent to Marshal.to_channel with an empty list of flags.

       val seek_out : out_channel -> int -> unit

       seek_out  chan pos sets the current writing position to pos for channel
       chan . This works only for regular files. On files of other kinds (such
       as terminals, pipes and sockets), the behavior is unspecified.

       val pos_out : out_channel -> int

       Return  the  current  writing position for the given channel.  Does not
       work on channels opened with the Open_append flag (returns  unspecified
       results).   For  files  opened in text mode under Windows, the returned
       position is approximate (owing to end-of-line conversion); in  particu-
       lar, saving the current position with pos_out , then going back to this
       position using seek_out will not work.  For this programming  idiom  to
       work reliably and portably, the file must be opened in binary mode.

       val out_channel_length : out_channel -> int

       Return the size (number of characters) of the regular file on which the
       given channel is opened.  If the channel is opened on a  file  that  is
       not a regular file, the result is meaningless.

       val close_out : out_channel -> unit

       Close  the given channel, flushing all buffered write operations.  Out-
       put functions raise a Sys_error exception when they are  applied  to  a
       closed  output  channel,  except close_out and flush , which do nothing
       when applied to an already closed channel.   Note  that  close_out  may
       raise  Sys_error if the operating system signals an error when flushing
       or closing.

       val close_out_noerr : out_channel -> unit

       Same as close_out , but ignore all errors.

       val set_binary_mode_out : out_channel -> bool -> unit

       set_binary_mode_out oc true sets the channel  oc  to  binary  mode:  no
       translations  take  place  during output.  set_binary_mode_out oc false
       sets the channel oc to text mode: depending on  the  operating  system,
       some  translations  may  take place during output.  For instance, under
       Windows, end-of-lines will be translated from \n to \r\n .  This  func-
       tion  has no effect under operating systems that do not distinguish be-
       tween text mode and binary mode.

   General input functions
       val open_in : string -> in_channel

       Open the named file for reading, and return a new input channel on that
       file, positioned at the beginning of the file.

       val open_in_bin : string -> in_channel

       Same  as  open_in  ,  but the file is opened in binary mode, so that no
       translation takes place during reads. On operating systems that do  not
       distinguish  between  text  mode and binary mode, this function behaves
       like open_in .

       val open_in_gen : open_flag list -> int -> string -> in_channel

       open_in_gen mode perm filename opens the named file for reading, as de-
       scribed  above.  The  extra arguments mode and perm specify the opening
       mode and file permissions.  open_in and open_in_bin are  special  cases
       of this function.

       val input_char : in_channel -> char

       Read one character from the given input channel.

       Raises End_of_file if there are no more characters to read.

       val input_line : in_channel -> string

       Read characters from the given input channel, until a newline character
       is encountered. Return the string of all characters read,  without  the
       newline character at the end.

       Raises  End_of_file  if the end of the file is reached at the beginning
       of line.

       val input : in_channel -> bytes -> int -> int -> int

       input ic buf pos len reads up to len characters from the given  channel
       ic  ,  storing them in byte sequence buf , starting at character number
       pos .  It returns the actual number of characters read, between  0  and
       len  (inclusive).   A  return value of 0 means that the end of file was
       reached.  A return value between 0 and len exclusive means that not all
       requested  len  characters were read, either because no more characters
       were available at that time, or because  the  implementation  found  it
       convenient to do a partial read; input must be called again to read the
       remaining characters, if desired.  (See also really_input  for  reading
       exactly  len characters.)  Exception Invalid_argument "input" is raised
       if pos and len do not designate a valid range of buf .

       val really_input : in_channel -> bytes -> int -> int -> unit

       really_input ic buf pos len reads len  characters  from  channel  ic  ,
       storing them in byte sequence buf , starting at character number pos .

       Raises  End_of_file if the end of file is reached before len characters
       have been read.

       Raises Invalid_argument if pos and len do not designate a  valid  range
       of buf .

       val really_input_string : in_channel -> int -> string

       really_input_string ic len reads len characters from channel ic and re-
       turns them in a new string.

       Since 4.02.0

       Raises End_of_file if the end of file is reached before len  characters
       have been read.

       val input_byte : in_channel -> int

       Same  as  input_char  ,  but  return the 8-bit integer representing the
       character.

       Raises End_of_file if an end of file was reached.

       val input_binary_int : in_channel -> int

       Read an integer encoded in binary format (4 bytes, big-endian) from the
       given input channel. See output_binary_int .

       Raises  End_of_file if an end of file was reached while reading the in-
       teger.

       val input_value : in_channel -> 'a

       Read the representation of a structured  value,  as  produced  by  out-
       put_value , and return the corresponding value.  This function is iden-
       tical to Marshal.from_channel ; see the description of  module  Marshal
       for more information, in particular concerning the lack of type safety.

       val seek_in : in_channel -> int -> unit

       seek_in  chan  pos sets the current reading position to pos for channel
       chan . This works only for regular files. On files of other kinds,  the
       behavior is unspecified.

       val pos_in : in_channel -> int

       Return  the  current reading position for the given channel.  For files
       opened in text mode under Windows, the returned position is approximate
       (owing  to  end-of-line  conversion); in particular, saving the current
       position with pos_in , then going back to this position  using  seek_in
       will  not  work.   For  this  programming  idiom  to  work reliably and
       portably, the file must be opened in binary mode.

       val in_channel_length : in_channel -> int

       Return the size (number of characters) of the regular file on which the
       given  channel  is  opened.  If the channel is opened on a file that is
       not a regular file, the result is meaningless.  The returned size  does
       not  take  into  account  the end-of-line translations that can be per-
       formed when reading from a channel opened in text mode.

       val close_in : in_channel -> unit

       Close the given channel.  Input functions raise a  Sys_error  exception
       when  they  are  applied  to  a closed input channel, except close_in ,
       which does nothing when applied to an already closed channel.

       val close_in_noerr : in_channel -> unit

       Same as close_in , but ignore all errors.

       val set_binary_mode_in : in_channel -> bool -> unit

       set_binary_mode_in ic true sets the  channel  ic  to  binary  mode:  no
       translations  take  place  during  input.  set_binary_mode_out ic false
       sets the channel ic to text mode: depending on  the  operating  system,
       some  translations  may  take  place during input.  For instance, under
       Windows, end-of-lines will be translated from \r\n to \n .  This  func-
       tion  has no effect under operating systems that do not distinguish be-
       tween text mode and binary mode.

   Operations on large files
       module LargeFile : sig end

       Operations on large files.  This sub-module provides 64-bit variants of
       the  channel  functions  that manipulate file positions and file sizes.
       By representing positions and sizes by 64-bit integers  (type  int64  )
       instead  of regular integers (type int ), these alternate functions al-
       low operating on files whose sizes are greater than max_int .

   References
       type 'a ref = {

       mutable contents : 'a ;
        }

       The type of references (mutable indirection cells) containing  a  value
       of type 'a .

       val ref : 'a -> 'a ref

       Return a fresh reference containing the given value.

       val (!)  : 'a ref -> 'a

       !r  returns  the current contents of reference r .  Equivalent to fun r
       -> r.contents .  Unary operator, see Ocaml_operators for more  informa-
       tion.

       val (:=) : 'a ref -> 'a -> unit

       r := a stores the value of a in reference r .  Equivalent to fun r v ->
       r.contents <- v .  Right-associative operator, see Ocaml_operators  for
       more information.

       val incr : int ref -> unit

       Increment  the integer contained in the given reference.  Equivalent to
       fun r -> r := succ !r .

       val decr : int ref -> unit

       Decrement the integer contained in the given reference.  Equivalent  to
       fun r -> r := pred !r .

   Result type
       type ('a, 'b) result =
        | Ok of 'a
        | Error of 'b

       Since 4.03.0

   Operations on format strings
       Format  strings  are character strings with special lexical conventions
       that defines the functionality  of  formatted  input/output  functions.
       Format  strings  are  used  to read data with formatted input functions
       from module Scanf and to print data  with  formatted  output  functions
       from modules Printf and Format .

       Format strings are made of three kinds of entities:

       -conversions  specifications,  introduced  by the special character '%'
       followed by one or more characters specifying what kind of argument  to
       read or print,

       -formatting  indications,  introduced by the special character '@' fol-
       lowed by one or more characters specifying how to read or print the ar-
       gument,

       -plain  characters  that are regular characters with usual lexical con-
       ventions. Plain characters specify string literals to be  read  in  the
       input or printed in the output.

       There  is  an  additional lexical rule to escape the special characters
       '%' and '@' in format strings: if a special  character  follows  a  '%'
       character,  it is treated as a plain character. In other words, "%%" is
       considered as a plain '%' and "%@" as a plain '@' .

       For more information about conversion specifications and formatting in-
       dications  available,  read the documentation of modules Scanf , Printf
       and Format .

       Format strings have a general and highly polymorphic type ('a, 'b,  'c,
       'd, 'e, 'f) format6 .  The two simplified types, format and format4 be-
       low are included for backward compatibility with  earlier  releases  of
       OCaml.

       The meaning of format string type parameters is as follows:

       -  'a  is the type of the parameters of the format for formatted output
       functions ( printf -style functions); 'a is the type of the values read
       by the format for formatted input functions ( scanf -style functions).

       -  'b is the type of input source for formatted input functions and the
       type of output target  for  formatted  output  functions.   For  printf
       -style functions from module Printf , 'b is typically out_channel ; for
       printf -style functions from module  Format  ,  'b  is  typically  For-
       mat.formatter  ;  for  scanf -style functions from module Scanf , 'b is
       typically Scanf.Scanning.in_channel .

       Type argument 'b is also the type of the first argument given to user's
       defined  printing  functions  for %a and %t conversions, and user's de-
       fined reading functions for %r conversion.

       - 'c is the type of the result of the %a and %t printing functions, and
       also  the  type  of  the  argument transmitted to the first argument of
       kprintf -style functions or to the kscanf -style functions.

       - 'd is the type of parameters for the scanf -style functions.

       - 'e is the type of the receiver function for the  scanf  -style  func-
       tions.

       -  'f is the final result type of a formatted input/output function in-
       vocation: for the printf -style functions, it is typically unit  ;  for
       the  scanf -style functions, it is typically the result type of the re-
       ceiver function.

       type ('a, 'b, 'c, 'd, 'e, 'f) format6 = ('a, 'b, 'c, 'd, 'e,  'f)  Cam-
       linternalFormatBasics.format6

       type ('a, 'b, 'c, 'd) format4 = ('a, 'b, 'c, 'c, 'c, 'd) format6

       type ('a, 'b, 'c) format = ('a, 'b, 'c, 'c) format4

       val string_of_format : ('a, 'b, 'c, 'd, 'e, 'f) format6 -> string

       Converts a format string into a string.

       val format_of_string : ('a, 'b, 'c, 'd, 'e, 'f) format6 -> ('a, 'b, 'c,
       'd, 'e, 'f) format6

       format_of_string s returns a format string read from the string literal
       s  .   Note: format_of_string can not convert a string argument that is
       not a literal. If you need this functionality,  use  the  more  general
       Scanf.format_from_string function.

       val (^^) : ('a, 'b, 'c, 'd, 'e, 'f) format6 -> ('f, 'b, 'c, 'e, 'g, 'h)
       format6 -> ('a, 'b, 'c, 'd, 'g, 'h) format6

       f1 ^^ f2 catenates format strings f1 and f2 . The result  is  a  format
       string  that behaves as the concatenation of format strings f1 and f2 :
       in case of formatted output, it accepts arguments from f1 , then  argu-
       ments  from f2 ; in case of formatted input, it returns results from f1
       , then results from f2 .  Right-associative operator, see  Ocaml_opera-
       tors for more information.

   Program termination
       val exit : int -> 'a

       Terminate the process, returning the given status code to the operating
       system: usually 0 to indicate no errors, and a small  positive  integer
       to  indicate  failure.   All  open  output  channels  are  flushed with
       flush_all .  An implicit exit 0 is performed each time a program termi-
       nates  normally.  An implicit exit 2 is performed if the program termi-
       nates early because of an uncaught exception.

       val at_exit : (unit -> unit) -> unit

       Register the given function to be called at program  termination  time.
       The  functions  registered with at_exit will be called when the program
       does any of the following:

       -executes exit

       -terminates, either normally or because of an uncaught exception

       -executes the C function caml_shutdown .  The functions are  called  in
       'last  in,  first  out'  order:  the  function most recently added with
       at_exit is called first.

   Standard library modules
       module Arg : (module Stdlib__Arg)

       module Array : (module Stdlib__Array)

       module ArrayLabels : (module Stdlib__ArrayLabels)

       module Atomic : (module Stdlib__Atomic)

       module Bigarray : (module Stdlib__Bigarray)

       module Bool : (module Stdlib__Bool)

       module Buffer : (module Stdlib__Buffer)

       module Bytes : (module Stdlib__Bytes)

       module BytesLabels : (module Stdlib__BytesLabels)

       module Callback : (module Stdlib__Callback)

       module Char : (module Stdlib__Char)

       module Complex : (module Stdlib__Complex)

       module Digest : (module Stdlib__Digest)

       module Either : (module Stdlib__Either)

       module Ephemeron : (module Stdlib__Ephemeron)

       module Filename : (module Stdlib__Filename)

       module Float : (module Stdlib__Float)

       module Format : (module Stdlib__Format)

       module Fun : (module Stdlib__Fun)

       module Gc : (module Stdlib__Gc)

       module Genlex : (module Stdlib__Genlex)

       module Hashtbl : (module Stdlib__Hashtbl)

       module Int : (module Stdlib__Int)

       module Int32 : (module Stdlib__Int32)

       module Int64 : (module Stdlib__Int64)

       module Lazy : (module Stdlib__Lazy)

       module Lexing : (module Stdlib__Lexing)

       module List : (module Stdlib__List)

       module ListLabels : (module Stdlib__ListLabels)

       module Map : (module Stdlib__Map)

       module Marshal : (module Stdlib__Marshal)

       module MoreLabels : (module Stdlib__MoreLabels)

       module Nativeint : (module Stdlib__Nativeint)

       module Obj : (module Stdlib__Obj)

       module Oo : (module Stdlib__Oo)

       module Option : (module Stdlib__Option)

       module Parsing : (module Stdlib__Parsing)

       module Pervasives : (module Stdlib__Pervasives)

       module Printexc : (module Stdlib__Printexc)

       module Printf : (module Stdlib__Printf)

       module Queue : (module Stdlib__Queue)

       module Random : (module Stdlib__Random)

       module Result : (module Stdlib__Result)

       module Scanf : (module Stdlib__Scanf)

       module Seq : (module Stdlib__Seq)

       module Set : (module Stdlib__Set)

       module Stack : (module Stdlib__Stack)

       module StdLabels : (module Stdlib__StdLabels)

       module Stream : (module Stdlib__Stream)

       module String : (module Stdlib__String)

       module StringLabels : (module Stdlib__StringLabels)

       module Sys : (module Stdlib__Sys)

       module Uchar : (module Stdlib__Uchar)

       module Unit : (module Stdlib__Unit)

       module Weak : (module Stdlib__Weak)

OCamldoc                          2023-02-12                        Stdlib(3o)

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