153 lines
7.6 KiB
OCaml
153 lines
7.6 KiB
OCaml
(***********************************************************************)
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(* *)
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(* Objective Caml *)
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(* *)
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(* Xavier Leroy, projet Cristal, INRIA Rocquencourt *)
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(* *)
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(* Copyright 1996 Institut National de Recherche en Informatique et *)
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(* en Automatique. All rights reserved. This file is distributed *)
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(* under the terms of the GNU Library General Public License. *)
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(* *)
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(***********************************************************************)
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(* $Id$ *)
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(* Module [Int64]: 64-bit integers *)
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(* This module provides operations on the type [int64] of
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signed 64-bit integers. Unlike the built-in [int] type,
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the type [int64] is guaranteed to be exactly 64-bit wide on all
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platforms. All arithmetic operations over [int64] are taken
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modulo $2^{64}$.
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The type [int64] is supported on all 64-bit platforms, as well as
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on all 32-bit platforms for which the C compiler supports 64-bit
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arithmetic. On 32-bit platforms without support for 64-bit arithmetic,
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all functions in this module raise an [Invalid_argument] exception.
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Performance notice: values of type [int64] occupy more memory
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space than values of type [int], and arithmetic operations on
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[int64] are generally slower than those on [int]. Use [int64]
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only when the application requires exact 64-bit arithmetic. *)
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val zero : int64
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val one : int64
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val minus_one : int64
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(* The 64-bit integers 0, 1, -1. *)
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external neg : int64 -> int64 = "%int64_neg"
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(* Unary negation. *)
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external add : int64 -> int64 -> int64 = "%int64_add"
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(* Addition. *)
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external sub : int64 -> int64 -> int64 = "%int64_sub"
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(* Subtraction. *)
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external mul : int64 -> int64 -> int64 = "%int64_mul"
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(* Multiplication. *)
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external div : int64 -> int64 -> int64 = "%int64_div"
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(* Integer division. Raise [Division_by_zero] if the second
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argument is zero. *)
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external rem : int64 -> int64 -> int64 = "%int64_mod"
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(* Integer remainder. If [x >= 0] and [y > 0], the result
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of [Int64.rem x y] satisfies the following properties:
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[0 <= Int64.rem x y < y] and
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[x = Int64.add (Int64.mul (Int64.div x y) y) (Int64.rem x y)].
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If [y = 0], [Int64.rem x y] raises [Division_by_zero].
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If [x < 0] or [y < 0], the result of [Int64.rem x y] is
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not specified and depends on the platform. *)
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val succ : int64 -> int64
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(* Successor. [Int64.succ x] is [Int64.add x Int64.one]. *)
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val pred : int64 -> int64
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(* Predecessor. [Int64.pred x] is [Int64.sub x Int64.one]. *)
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val abs : int64 -> int64
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(* Return the absolute value of its argument. *)
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val max_int : int64
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(* The greatest representable 64-bit integer, $2^{63} - 1$. *)
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val min_int : int64
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(* The smallest representable 64-bit integer, $-2^{63}$. *)
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external logand : int64 -> int64 -> int64 = "%int64_and"
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(* Bitwise logical and. *)
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external logor : int64 -> int64 -> int64 = "%int64_or"
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(* Bitwise logical or. *)
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external logxor : int64 -> int64 -> int64 = "%int64_xor"
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(* Bitwise logical exclusive or. *)
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val lognot : int64 -> int64
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(* Bitwise logical negation *)
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external shift_left : int64 -> int -> int64 = "%int64_lsl"
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(* [Int64.shift_left x y] shifts [x] to the left by [y] bits.
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The result is unspecified if [y < 0] or [y >= 64]. *)
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external shift_right : int64 -> int -> int64 = "%int64_asr"
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(* [Int64.shift_right x y] shifts [x] to the right by [y] bits.
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This is an arithmetic shift: the sign bit of [x] is replicated
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and inserted in the vacated bits.
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The result is unspecified if [y < 0] or [y >= 64]. *)
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external shift_right_logical : int64 -> int -> int64 = "%int64_lsr"
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(* [Int64.shift_right_logical x y] shifts [x] to the right by [y] bits.
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This is a logical shift: zeroes are inserted in the vacated bits
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regardless of the sign of [x].
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The result is unspecified if [y < 0] or [y >= 64]. *)
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external of_int : int -> int64 = "%int64_of_int"
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(* Convert the given integer (type [int]) to a 64-bit integer
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(type [int64]). *)
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external to_int : int64 -> int = "%int64_to_int"
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(* Convert the given 64-bit integer (type [int64]) to an
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integer (type [int]). On 64-bit platforms, the 64-bit integer
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is taken modulo $2^{63}$, i.e. the high-order bit is lost
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during the conversion. On 32-bit platforms, the 64-bit integer
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is taken modulo $2^{31}$, i.e. the top 33 bits are lost
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during the conversion. *)
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external of_float : float -> int64 = "int64_of_float"
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(* Convert the given floating-point number to a 64-bit integer,
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discarding the fractional part (truncate towards 0).
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The result of the conversion is undefined if, after truncation,
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the number is outside the range [Int64.min_int, Int64.max_int]. *)
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external to_float : int64 -> float = "int64_to_float"
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(* Convert the given 64-bit integer to a floating-point number. *)
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external of_int32 : int32 -> int64 = "%int64_of_int32"
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(* Convert the given 32-bit integer (type [int32])
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to a 64-bit integer (type [int64]). *)
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external to_int32 : int64 -> int32 = "%int64_to_int32"
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(* Convert the given 64-bit integer (type [int64]) to a
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32-bit integer (type [int32]). The 64-bit integer
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is taken modulo $2^{32}$, i.e. the top 32 bits are lost
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during the conversion. *)
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external of_nativeint : nativeint -> int64 = "%int64_of_nativeint"
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(* Convert the given native integer (type [nativeint])
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to a 64-bit integer (type [int64]). *)
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external to_nativeint : int64 -> nativeint = "%int64_to_nativeint"
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(* Convert the given 64-bit integer (type [int64]) to a
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native integer. On 32-bit platforms, the 64-bit integer
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is taken modulo $2^{32}$. On 64-bit platforms,
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the conversion is exact. *)
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external of_string : string -> int64 = "int64_of_string"
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(* Convert the given string to a 64-bit integer.
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The string is read in decimal (by default) or in hexadecimal,
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octal or binary if the string begins with [0x], [0o] or [0b]
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respectively.
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Raise [Failure "int_of_string"] if the given string is not
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a valid representation of an integer. *)
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val to_string : int64 -> string
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(* Return the string representation of its argument, in decimal. *)
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external format : string -> int64 -> string = "int64_format"
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(* [Int64.format fmt n] return the string representation of the
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64-bit integer [n] in the format specified by [fmt].
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[fmt] is a [Printf]-style format containing exactly
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one [%d], [%i], [%u], [%x], [%X] or [%o] conversion specification.
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See the documentation of the [Printf] module for more information, *)
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external bits_of_float : float -> int64 = "int64_bits_of_float"
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(* Return the internal representation of the given float according
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to the IEEE 754 floating-point ``double format'' bit layout.
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Bit 63 of the result represents the sign of the float;
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bits 62 to 52 represent the (biased) exponent; bits 51 to 0
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represent the mantissa. *)
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external float_of_bits : int64 -> float = "int64_float_of_bits"
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(* Return the floating-point number whose internal representation,
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according to the IEEE 754 floating-point ``double format'' bit layout,
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is the given [int64]. *)
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