module Pervasives:`sig`

..`end`

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).

`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 `Pervasives`

.

`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

`Pervasives.(=)`

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

See

`Pervasives.(>=)`

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

See

`Pervasives.(>=)`

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

See

`Pervasives.(>=)`

.`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

`Pervasives.(==)`

.`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`

`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 2

`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.

Bitwise operations

`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

`Pervasives.atan2`

.`val sin : ``float -> float`

See

`Pervasives.atan2`

.`val tan : ``float -> float`

See

`Pervasives.atan2`

.`val acos : ``float -> float`

See

`Pervasives.atan2`

.`val asin : ``float -> float`

See

`Pervasives.atan2`

.`val atan : ``float -> float`

See

`Pervasives.atan2`

.`val atan2 : ``float -> float -> float`

The usual trigonometric functions.

`val cosh : ``float -> float`

See

`Pervasives.tanh`

.`val sinh : ``float -> float`

See

`Pervasives.tanh`

.`val tanh : ``float -> float`

The usual hyperbolic trigonometric functions.

`val ceil : ``float -> float`

See

`Pervasives.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

`Pervasives.float_of_int`

.`val float_of_int : ``int -> float`

Convert an integer to floating-point.

`val truncate : ``float -> int`

Same as

`Pervasives.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

`Pervasives.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.

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_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.

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_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 : ``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.

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 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.
| `*)` |

`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

`Pervasives.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 `Pervasives.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.
`Pervasives.open_out`

and `Pervasives.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

`Pervasives.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

`Pervasives.input_value`

. See the description of module
`Marshal`

for more information. `Pervasives.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.General input functions

`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

`Pervasives.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 `Pervasives.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.
`Pervasives.open_in`

and `Pervasives.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 `Pervasives.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

`Pervasives.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

`Pervasives.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

`Pervasives.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

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 `Pervasives.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.