module Stdlib:sig
..end
type
int32
type
int64
type
nativeint
type
bytes
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 location 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 arguments do not make sense.
exception Failure of string
Exception raised by library functions to signal that they are undefined on the given arguments.
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.
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. (Not fully implemented by the native-code compiler; see section 11.4.)
exception Sys_error of string
Exception raised by the input/output functions to report an operating system error.
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 division and remainder operations when their second argument is null. (Not fully implemented by the native-code compiler; see section 11.4.)
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)
The initially opened module.
This module provides the basic operations over the built-in types (numbers, booleans, strings, exceptions, references, lists, arrays, input-output channels, ...)
This module is automatically opened at the beginning of each compilation.
All components of this module can therefore be referred by their short
name, without prefixing them by Stdlib
.
val raise : exn -> 'a
Raise the given exception value
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
provided for use in your programs.
val (=) : 'a -> 'a -> bool
e1 = e2
tests for structural equality of e1
and e2
.
Mutable structures (e.g. references and arrays) are equal
if and only if their current contents are structurally equal,
even if the two mutable objects are not the same physical object.
Equality between functional values may raise Invalid_argument
.
Equality between cyclic data structures may not terminate.
val (<>) : 'a -> 'a -> bool
Negation of Stdlib.(=)
.
val (<) : 'a -> 'a -> bool
See Stdlib.(>=)
.
val (>) : 'a -> 'a -> bool
See Stdlib.(>=)
.
val (<=) : 'a -> 'a -> bool
See Stdlib.(>=)
.
val (>=) : 'a -> 'a -> bool
Structural ordering functions. These functions coincide with
the usual orderings over integers, characters, strings
and floating-point numbers, and extend them to a
total ordering over all types.
The ordering is compatible with (=)
. As in the case
of (=)
, mutable structures are compared by contents.
Comparison between functional values may raise Invalid_argument
.
Comparison between cyclic structures may not terminate.
val compare : 'a -> 'a -> int
compare x y
returns 0
if x=y
, a negative integer if
x<y
, and a positive integer if x>y
. The same restrictions
as for =
apply. compare
can be used as the comparison function
required by the Set.Make
and Map.Make
functors.
val min : 'a -> 'a -> 'a
Return the smaller of the two arguments.
val max : 'a -> 'a -> 'a
Return the greater of the two arguments.
val (==) : 'a -> 'a -> bool
e1 == e2
tests for physical equality of e1
and e2
.
On integers and characters, physical equality is identical to structural
equality. On mutable structures, e1 == e2
is true if and only if
physical modification of e1
also affects e2
.
On non-mutable structures, the behavior of (==)
is
implementation-dependent; however, it is guaranteed that
e1 == e2
implies e1 = e2
.
val (!=) : 'a -> 'a -> bool
Negation of Stdlib.(==)
.
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.
val (&) : bool -> bool -> bool
Stdlib.(&&)
should be used instead.val (or) : bool -> bool -> bool
The boolean ``or''. Evaluation is sequential, left-to-right:
in e1 or e2
, e1
is evaluated first, and if it returns true
,
e2
is not evaluated at all.
Integers are 31 bits wide (or 63 bits on 64-bit processors). All operations are taken modulo 231 (or 263). They do not fail on overflow.
val (~-) : int -> int
Unary negation. You can also write -e
instead of ~-e
.
val succ : int -> int
succ x
is x+1
.
val pred : int -> int
pred x
is x-1
.
val (+) : int -> int -> int
Integer addition.
val (-) : int -> int -> int
Integer subtraction.
val ( * ) : int -> int -> int
Integer multiplication.
val (/) : int -> int -> int
Integer division.
Raise Division_by_zero
if the second argument is 0.
Integer division rounds the real quotient of its arguments 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)
.
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
.
Notice that x mod y
is negative if and only if x < 0
.
val abs : int -> int
Return the absolute value of the argument.
val max_int : int
The greatest representable integer.
val min_int : int
The smallest representable integer.
val (land) : int -> int -> int
Bitwise logical and.
val (lor) : int -> int -> int
Bitwise logical or.
val (lxor) : int -> int -> int
Bitwise logical exclusive or.
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 >= bitsize
,
where bitsize
is 32
on a 32-bit platform and
64
on a 64-bit platform.
val (lsr) : int -> int -> int
n lsr m
shifts n
to the right by m
bits.
This is a logical shift: zeroes are inserted regardless of
the sign of n
.
The result is unspecified if m < 0
or m >= bitsize
.
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 >= bitsize
.
Caml's floating-point numbers follow the
IEEE 754 standard, using double 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
floating-point computations as expected: for instance,
1.0 /. infinity
is 0.0
, and any operation with nan
as
argument returns nan
as result.
val (~-.) : float -> float
Unary negation. You can also write -.e
instead of ~-.e
.
val (+.) : float -> float -> float
Floating-point addition
val (-.) : float -> float -> float
Floating-point subtraction
val ( *. ) : float -> float -> float
Floating-point multiplication
val (/.) : float -> float -> float
Floating-point division.
val ( ** ) : float -> float -> float
Exponentiation
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 cos : float -> float
See Stdlib.atan2
.
val sin : float -> float
See Stdlib.atan2
.
val tan : float -> float
See Stdlib.atan2
.
val acos : float -> float
See Stdlib.atan2
.
val asin : float -> float
See Stdlib.atan2
.
val atan : float -> float
See Stdlib.atan2
.
val atan2 : float -> float -> float
The usual trigonometric functions.
val cosh : float -> float
See Stdlib.tanh
.
val sinh : float -> float
See Stdlib.tanh
.
val tanh : float -> float
The usual hyperbolic trigonometric functions.
val ceil : float -> float
See Stdlib.floor
.
val floor : float -> float
Round the given float to an integer value.
floor f
returns the greatest integer value less than or
equal to f
.
ceil f
returns the least integer value greater than or
equal to f
.
val abs_float : float -> float
Return the absolute value of the argument.
val mod_float : float -> float -> float
mod_float a b
returns the remainder of a
with respect to
b
. The returned 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 Stdlib.float_of_int
.
val float_of_int : int -> float
Convert an integer to floating-point.
val truncate : float -> int
Same as Stdlib.int_of_float
.
val int_of_float : float -> int
Truncate the given floating-point number to an integer. The result is unspecified if it falls outside the range of representable 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 operation such as 0.0 /. 0.0
. Stands for
``not a number''.
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 smallest positive float x
such that 1.0 +. x <> 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 Stdlib.classify_float
function.
val classify_float : float -> fpclass
Return the class of the given floating-point number: normal, subnormal, zero, infinite, or not a number.
More string operations are provided in module String
.
val (^) : string -> string -> string
String concatenation.
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.
Raise Invalid_argument "char_of_int"
if the argument is
outside the range 0--255.
val ignore : 'a -> unit
Discard the value of its argument and return ()
.
For instance, ignore(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.
val string_of_bool : bool -> string
Return the string representation of a boolean.
val bool_of_string : string -> bool
Convert the given string to a boolean.
Raise Invalid_argument "bool_of_string"
if the string is not
"true"
or "false"
.
val string_of_int : int -> string
Return the string representation of an integer, in decimal.
val int_of_string : string -> int
Convert the given string to an integer.
The string is read in decimal (by default) or in hexadecimal (if it
begins with 0x
or 0X
), octal (if it begins with 0o
or 0O
),
or binary (if it begins with 0b
or 0B
).
Raise Failure "int_of_string"
if the given string is not
a valid representation of an integer.
val string_of_float : float -> string
Return the string representation of a floating-point number.
val float_of_string : string -> float
Convert the given string to a float. Raise Failure "float_of_string"
if the given string is not a valid representation of a float.
val fst : 'a * 'b -> 'a
Return the first component of a pair.
val snd : 'a * 'b -> 'b
Return the second component of a pair.
More list operations are provided in module List
.
val (@) : 'a list -> 'a list -> 'a list
List concatenation.
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 ouput for the process.
val print_char : char -> unit
Print a character on standard output.
val print_string : string -> unit
Print a string on standard output.
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 output. This can be used to simulate line buffering of standard output.
val prerr_char : char -> unit
Print a character on standard error.
val prerr_string : string -> unit
Print a string on standard error.
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.
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 : unit -> int
Flush standard output, then read one line from standard input
and convert it to an integer. Raise Failure "int_of_string"
if the line read is not a valid representation of an integer.
val read_float : unit -> float
Flush standard output, then read one line from standard input and convert it to a floating-point number. The result is unspecified if the line read is not a valid representation of a floating-point number.
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 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 Stdlib.open_out_gen
and Stdlib.open_in_gen
.
val open_out : string -> out_channel
Open the named file for writing, and return a new output channel
on that file, positionned at the beginning of the file. The
file is truncated to zero length if it already exists. It
is created if it does not already exists.
Raise Sys_error
if the file could not be opened.
val open_out_bin : string -> out_channel
Same as Stdlib.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 Stdlib.open_out
.
val open_out_gen : open_flag list -> int -> string -> out_channel
Open the named file for writing, as above. The extra argument mode
specify the opening mode. The extra argument perm
specifies
the file permissions, in case the file must be created.
Stdlib.open_out
and Stdlib.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 careful 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 : out_channel -> string -> int -> int -> unit
output oc buf pos len
writes len
characters from string buf
,
starting at offset pos
, to the given output channel oc
.
Raise Invalid_argument "output"
if pos
and len
do not
designate a valid substring of buf
.
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 on the given output channel.
The only reliable way to read it back is through the
Stdlib.input_binary_int
function. The format is compatible across
all machines for a given version of Objective Caml.
val output_value : out_channel -> 'a -> unit
Write the representation of a structured value of any type
to a channel. Circularities and sharing inside the value
are detected and preserved. The object can be read back,
by the function Stdlib.input_value
. See the description of module
Marshal
for more information. Stdlib.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.
val out_channel_length : out_channel -> int
Return the total length (number of characters) of the given channel. This works only for regular files. On files of other kinds, the result is meaningless.
val close_out : out_channel -> unit
Close the given channel, flushing all buffered write operations.
Output 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 function has no effect under operating systems that
do not distinguish between text mode and binary mode.
val open_in : string -> in_channel
Open the named file for reading, and return a new input channel
on that file, positionned at the beginning of the file.
Raise Sys_error
if the file could not be opened.
val open_in_bin : string -> in_channel
Same as Stdlib.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 Stdlib.open_in
.
val open_in_gen : open_flag list -> int -> string -> in_channel
Open the named file for reading, as above. The extra arguments
mode
and perm
specify the opening mode and file permissions.
Stdlib.open_in
and Stdlib.open_in_bin
are special
cases of this function.
val input_char : in_channel -> char
Read one character from the given input channel.
Raise 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.
Raise End_of_file
if the end of the file is reached
at the beginning of line.
val input : in_channel -> string -> int -> int -> int
input ic buf pos len
reads up to len
characters from
the given channel ic
, storing them in string 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 Stdlib.really_input
for reading
exactly len
characters.)
Exception Invalid_argument "input"
is raised if pos
and len
do not designate a valid substring of buf
.
val really_input : in_channel -> string -> int -> int -> unit
really_input ic buf pos len
reads len
characters from channel ic
,
storing them in string buf
, starting at character number pos
.
Raise End_of_file
if the end of file is reached before len
characters have been read.
Raise Invalid_argument "really_input"
if
pos
and len
do not designate a valid substring of buf
.
val input_byte : in_channel -> int
Same as Stdlib.input_char
, but return the 8-bit integer representing
the character.
Raise End_of_file
if an end of file was reached.
val input_binary_int : in_channel -> int
Read an integer encoded in binary format from the given input
channel. See Stdlib.output_binary_int
.
Raise End_of_file
if an end of file was reached while reading the
integer.
val input_value : in_channel -> 'a
Read the representation of a structured value, as produced
by Stdlib.output_value
, and return the corresponding value.
This function is identical 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.
val in_channel_length : in_channel -> int
Return the total length (number of characters) of the given channel. This works only for regular files. On files of other kinds, the result is meaningless.
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. Note that close_in
may raise Sys_error
if
the operating system signals an error.
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 function has no effect under operating systems that
do not distinguish between text mode and binary mode.
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 allow
operating on files whose sizes are greater than max_int
.
type 'a
ref = {
|
mutable contents : |
}
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
.
val (:=) : 'a ref -> 'a -> unit
r := a
stores the value of a
in reference r
.
Equivalent to fun r v -> r.contents <- v
.
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
.
See modules Printf
and Scanf
for more operations on
format strings.
type ('a, 'b, 'c, 'd)
format4
type('a, 'b, 'c)
format =('a, 'b, 'c, 'c) format4
Simplified type for format strings, included for backward compatibility
with earlier releases of Objective Caml.
'a
is the type of the parameters of the format,
'c
is the result type for the "printf"-style function,
and 'b
is the type of the first argument given to
%a
and %t
printing functions.
val string_of_format : ('a, 'b, 'c, 'd) format4 -> string
Converts a format string into a string.
val format_of_string : ('a, 'b, 'c, 'd) format4 -> ('a, 'b, 'c, 'd) format4
format_of_string s
returns a format string read from the string
literal s
.
val (^^) : ('a, 'b, 'c, 'd) format4 ->
('d, 'b, 'c, 'e) format4 -> ('a, 'b, 'c, 'e) format4
f1 ^^ f2
catenates formats f1
and f2
. The result is a format
that accepts arguments from f1
, then arguments from f2
.
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
terminates normally. An implicit exit 2
is performed if the program
terminates 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 executes Stdlib.exit
,
or terminates, either normally or because of an uncaught exception.
The functions are called in ``last in, first out'' order:
the function most recently added with at_exit
is called first.