mirror of
https://github.com/Mercury-Language/mercury.git
synced 2026-04-15 01:13:30 +00:00
1010 lines
26 KiB
Mathematica
1010 lines
26 KiB
Mathematica
%---------------------------------------------------------------------------%
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% vim: ts=4 sw=4 et ft=mercury
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%---------------------------------------------------------------------------%
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% Copyright (C) 2017-2023, 2025-2026 The Mercury team.
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% This file is distributed under the terms specified in COPYING.LIB.
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%---------------------------------------------------------------------------%
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%
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% File: int32.m
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% Main author: juliensf
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% Stability: high.
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%
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% Predicates and functions for dealing with signed 32-bit integer numbers.
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%
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%---------------------------------------------------------------------------%
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:- module int32.
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:- interface.
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:- import_module pretty_printer.
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%---------------------------------------------------------------------------%
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%
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% Conversion from int.
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%
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% from_int(I, I32):
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%
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% Convert an int to an int32.
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% Fail if I is not in the range [-(2^31), 2^31 - 1].
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%
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:- pred from_int(int::in, int32::out) is semidet.
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% det_from_int(I) = I32:
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%
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% Convert an int to an int32.
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% Throw an exception if I is not in the range [-(2^31), 2^31 - 1].
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%
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:- func det_from_int(int) = int32.
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% cast_from_int(I) = I32:
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%
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% Convert an int to an int32.
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% Always succeeds, but will yield a result that is mathematically equal
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% to I only if I is in the range [-(2^31), 2^31 - 1].
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%
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:- func cast_from_int(int) = int32.
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%---------------------------------------------------------------------------%
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%
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% Conversion to int.
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%
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% to_int(I32) = I:
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%
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% Convert an int32 to an int. Since an int can be only 32 or 64 bits,
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% this is guaranteed to yield a result that is mathematically equal
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% to the original.
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%
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:- func to_int(int32) = int.
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% cast_to_int(I32) = I:
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%
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% Convert an int32 to an int. Since an int can be only 32 or 64 bits,
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% this is guaranteed to yield a result that is mathematically equal
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% to the original.
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%
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:- func cast_to_int(int32) = int.
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%---------------------------------------------------------------------------%
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%
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% Conversion to/from int8.
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%
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% cast_to_int8(I32) = I8:
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%
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% Convert an int32 to an int8.
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% Always succeeds, but will yield a result that is mathematically equal
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% to I32 only if I32 is in the range [-(2^7), 2^7 - 1].
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%
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:- func cast_to_int8(int32) = int8.
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% cast_from_int8(I8) = I32:
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%
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% Convert an int8 to an int32.
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% Always succeeds, and yields a result that is mathematically equal to I8.
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%
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:- func cast_from_int8(int8) = int32.
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%---------------------------------------------------------------------------%
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%
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% Conversion to/from int16.
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%
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% cast_to_int16(I32) = I16:
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%
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% Convert an int32 to an int16.
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% Always succeeds, but will yield a result that is mathematically equal
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% to I32 only if I32 is in the range [-(2^15), 2^15 - 1].
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%
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:- func cast_to_int16(int32) = int16.
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% cast_from_int16(I16) = I32:
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%
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% Convert an int16 to an int32.
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% Always succeeds, and yields a result that is mathematically equal to I16.
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%
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:- func cast_from_int16(int16) = int32.
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%---------------------------------------------------------------------------%
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%
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% Conversion to/from int64.
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%
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% cast_to_int64(I32) = I64:
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%
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% Convert an int32 to an int64.
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% Always succeeds, and always yields a result that is
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% mathematically equal to I32.
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%
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:- func cast_to_int64(int32) = int64.
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% from_int64(I64, I32):
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%
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% Convert an int64 to an int32.
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% Fail if I64 is not in the range [-(2^31), 2^31 - 1].
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%
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:- pred from_int64(int64::in, int32::out) is semidet.
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% det_from_int64(I64) = I32:
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%
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% Convert an int64 to an int32.
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% Throw an exception if I64 is not in the range [-(2^31), 2^31 - 1].
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%
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:- func det_from_int64(int64) = int32.
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% cast_from_int64(I64) = I32:
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%
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% Convert an int64 to an int32.
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% Always succeeds, but will yield a result that is mathematically equal
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% to I64 only if I64 is in the range [-(2^31), 2^31 - 1].
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%
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:- func cast_from_int64(int64) = int32.
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%---------------------------------------------------------------------------%
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%
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% Change of signedness.
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%
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% cast_from_uint32(U32) = I32:
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%
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% Convert a uint32 to an int32. This will yield a result that is
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% mathematically equal to U32 only if U32 is in the range [0, 2^31 - 1].
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%
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:- func cast_from_uint32(uint32) = int32.
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%---------------------------------------------------------------------------%
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%
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% Conversion from byte sequence.
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%
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% from_bytes_le(Byte0, Byte1, Byte2, Byte3) = I32:
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%
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% I32 is the int32 whose bytes are given in little-endian order by the
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% arguments from left-to-right (i.e. Byte0 is the least significant byte
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% and Byte3 is the most significant byte).
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%
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:- func from_bytes_le(uint8, uint8, uint8, uint8) = int32.
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% from_bytes_be(Byte0, Byte1, Byte2, Byte3) = I32:
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%
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% I32 is the int32 whose bytes are given in big-endian order by the
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% arguments in left-to-right order (i.e. Byte0 is the most significant
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% byte and Byte3 is the least significant byte).
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%
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:- func from_bytes_be(uint8, uint8, uint8, uint8) = int32.
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%---------------------------------------------------------------------------%
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%
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% Comparisons and related operations.
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%
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% Less than.
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%
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:- pred (int32::in) < (int32::in) is semidet.
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% Greater than.
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%
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:- pred (int32::in) > (int32::in) is semidet.
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% Less than or equal.
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%
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:- pred (int32::in) =< (int32::in) is semidet.
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% Greater than or equal.
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%
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:- pred (int32::in) >= (int32::in) is semidet.
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% Maximum.
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%
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:- func max(int32, int32) = int32.
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% Minimum.
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%
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:- func min(int32, int32) = int32.
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% clamp(Min, Max, N):
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%
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% Clamp N to the range [Min, Max] (inclusive).
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% Returns Min if N < Min, Max if N > Max, and N otherwise.
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% Throws an exception if Max < Min.
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%
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:- func clamp(int32, int32, int32) = int32.
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%---------------------------------------------------------------------------%
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%
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% Absolute values.
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%
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% abs(X) returns the absolute value of X.
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% Throws an exception if X = int32.min_int32.
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%
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:- func abs(int32) = int32.
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% unchecked_abs(X) returns the absolute value of X, except that the result
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% is undefined if X = int32.min_int32.
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%
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:- func unchecked_abs(int32) = int32.
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% nabs(X) returns the negative of the absolute value of X.
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% Unlike abs/1 this function is defined for X = int32.min_int32.
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%
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:- func nabs(int32) = int32.
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%---------------------------------------------------------------------------%
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%
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% Arithmetic operations.
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%
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% Unary plus.
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%
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:- func + (int32::in) = (int32::uo) is det.
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% Unary minus.
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%
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:- func - (int32::in) = (int32::uo) is det.
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% Addition.
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%
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:- func int32 + int32 = int32.
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:- mode in + in = uo is det.
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:- mode uo + in = in is det.
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:- mode in + uo = in is det.
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:- func plus(int32, int32) = int32.
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% Subtraction.
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%
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:- func int32 - int32 = int32.
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:- mode in - in = uo is det.
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:- mode uo - in = in is det.
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:- mode in - uo = in is det.
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:- func minus(int32, int32) = int32.
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% Multiplication.
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%
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:- func (int32::in) * (int32::in) = (int32::uo) is det.
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:- func times(int32, int32) = int32.
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% Flooring integer division.
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% Truncates towards minus infinity, e.g. (-10_i32) div 3_i32 = (-4_i32).
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%
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% Throws a `domain_error' exception if the right operand is zero.
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%
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:- func (int32::in) div (int32::in) = (int32::uo) is det.
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% Truncating integer division.
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% Truncates towards zero, e.g. (-10_i32) // 3_i32 = (-3_i32).
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% `div' has nicer mathematical properties for negative operands,
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% but `//' is typically more efficient.
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%
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% Throws a `domain_error' exception if the right operand is zero.
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%
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:- func (int32::in) // (int32::in) = (int32::uo) is det.
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% (/)/2 is a synonym for (//)/2.
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%
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:- func (int32::in) / (int32::in) = (int32::uo) is det.
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% unchecked_quotient(X, Y) is the same as X // Y, but the behaviour
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% is undefined if the right operand is zero.
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%
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:- func unchecked_quotient(int32::in, int32::in) = (int32::uo) is det.
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% Modulus.
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% X mod Y = X - (X div Y) * Y
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%
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% Throws a `domain_error' exception if the right operand is zero.
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%
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:- func (int32::in) mod (int32::in) = (int32::uo) is det.
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% Remainder.
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% X rem Y = X - (X // Y) * Y.
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%
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% Throws a `domain_error' exception if the right operand is zero.
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%
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:- func (int32::in) rem (int32::in) = (int32::uo) is det.
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% unchecked_rem(X, Y) is the same as X rem Y, but the behaviour is
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% undefined if the right operand is zero.
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%
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:- func unchecked_rem(int32::in, int32::in) = (int32::uo) is det.
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% even(X) is equivalent to (X mod 2 = 0).
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%
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:- pred even(int32::in) is semidet.
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% odd(X) is equivalent to (not even(X)), i.e. (X mod 2 = 1).
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%
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:- pred odd(int32::in) is semidet.
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%---------------------------------------------------------------------------%
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%
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% Shift operations.
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%
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% Left shift.
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% X << Y returns X "left shifted" by Y bits.
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% The bit positions vacated by the shift are filled by zeros.
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% Throws an exception if Y is not in the range [0, 32).
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%
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:- func (int32::in) << (int::in) = (int32::uo) is det.
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:- func (int32::in) <<u (uint::in) = (int32::uo) is det.
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% unchecked_left_shift(X, Y) is the same as X << Y except that the
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% behaviour is undefined if Y is not in the range [0, 32).
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% It will typically be implemented more efficiently than X << Y.
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%
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:- func unchecked_left_shift(int32::in, int::in) = (int32::uo) is det.
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:- func unchecked_left_ushift(int32::in, uint::in) = (int32::uo) is det.
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% Right shift.
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% X >> Y returns X "right shifted" by Y bits.
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% The bit positions vacated by the shift are filled by the sign bit.
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% Throws an exception if Y is not in the range [0, 32).
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%
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:- func (int32::in) >> (int::in) = (int32::uo) is det.
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:- func (int32::in) >>u (uint::in) = (int32::uo) is det.
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% unchecked_right_shift(X, Y) is the same as X >> Y except that the
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% behaviour is undefined if Y is not in the range [0, bits_per_int32).
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% It will typically be implemented more efficiently than X >> Y.
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%
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:- func unchecked_right_shift(int32::in, int::in) = (int32::uo) is det.
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:- func unchecked_right_ushift(int32::in, uint::in) = (int32::uo) is det.
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%---------------------------------------------------------------------------%
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%
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% Logical operations.
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%
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% Bitwise and.
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%
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:- func (int32::in) /\ (int32::in) = (int32::uo) is det.
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% Bitwise or.
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%
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:- func (int32::in) \/ (int32::in) = (int32::uo) is det.
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% Bitwise exclusive or (xor).
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%
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:- func xor(int32, int32) = int32.
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:- mode xor(in, in) = uo is det.
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:- mode xor(in, uo) = in is det.
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:- mode xor(uo, in) = in is det.
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% Bitwise complement.
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%
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:- func \ (int32::in) = (int32::uo) is det.
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%---------------------------------------------------------------------------%
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%
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% Operations on bits and bytes.
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%
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% num_zeros(I) = N:
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%
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% N is the number of zeros in the binary representation of I.
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%
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:- func num_zeros(int32) = int.
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% num_ones(I) = N:
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%
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% N is the number of ones in the binary representation of I.
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%
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:- func num_ones(int32) = int.
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% num_leading_zeros(I) = N:
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%
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% N is the number of leading zeros in the binary representation of I,
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% starting at the most significant bit position.
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% Note that num_leading_zeros(0i32) = 32.
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%
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:- func num_leading_zeros(int32) = int.
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% num_trailing_zeros(I) = N:
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%
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% N is the number of trailing zeros in the binary representation of I,
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% starting at the least significant bit position.
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% Note that num_trailing_zeros(0i32) = 32.
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%
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:- func num_trailing_zeros(int32) = int.
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% reverse_bytes(A) = B:
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%
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% B is the value that results from reversing the bytes in the binary
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% representation of A.
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%
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:- func reverse_bytes(int32) = int32.
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% reverse_bits(A) = B:
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%
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% B is the value that results from reversing the bits in the binary
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% representation of A.
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%
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:- func reverse_bits(int32) = int32.
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%---------------------------------------------------------------------------%
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%
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% Limits.
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%
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:- func min_int32 = int32.
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:- func max_int32 = int32.
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%---------------------------------------------------------------------------%
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%
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% Prettyprinting.
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%
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% Convert an int32 to a pretty_printer.doc for formatting.
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%
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:- func int32_to_doc(int32) = pretty_printer.doc.
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:- pragma obsolete(func(int32_to_doc/1), [pretty_printer.int32_to_doc/1]).
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%---------------------------------------------------------------------------%
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%---------------------------------------------------------------------------%
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:- implementation.
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:- import_module exception.
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:- import_module int.
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:- import_module int64.
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:- import_module require.
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:- import_module uint.
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:- import_module uint32.
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%---------------------------------------------------------------------------%
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:- pragma foreign_proc("C",
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from_int(I::in, I32::out),
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[will_not_call_mercury, promise_pure, thread_safe, will_not_modify_trail],
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"
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if (I > (MR_Integer) INT32_MAX) {
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SUCCESS_INDICATOR = MR_FALSE;
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} else if (I < (MR_Integer) INT32_MIN) {
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SUCCESS_INDICATOR = MR_FALSE;
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} else {
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I32 = (int32_t) I;
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SUCCESS_INDICATOR = MR_TRUE;
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}
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").
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:- pragma foreign_proc("C#",
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from_int(I::in, I32::out),
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[will_not_call_mercury, promise_pure, thread_safe],
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"
|
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I32 = I; // Mercury's 'int' type in the C# grade is 32-bits.
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SUCCESS_INDICATOR = true;
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").
|
|
|
|
:- pragma foreign_proc("Java",
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from_int(I::in, I32::out),
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[will_not_call_mercury, promise_pure, thread_safe],
|
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"
|
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I32 = I; // Mercury's 'int' type in the Java grade is 32-bits.
|
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SUCCESS_INDICATOR = true;
|
|
").
|
|
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|
det_from_int(I) = I32 :-
|
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( if from_int(I, I32Prime) then
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I32 = I32Prime
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else
|
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error($pred, "cannot convert int to int32")
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).
|
|
|
|
:- pragma foreign_proc("C",
|
|
cast_from_int(I::in) = (I32::out),
|
|
[will_not_call_mercury, promise_pure, thread_safe, will_not_modify_trail,
|
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does_not_affect_liveness],
|
|
"
|
|
I32 = (int32_t) I;
|
|
").
|
|
|
|
:- pragma foreign_proc("C#",
|
|
cast_from_int(I::in) = (I32::out),
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[will_not_call_mercury, promise_pure, thread_safe],
|
|
"
|
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I32 = I;
|
|
").
|
|
|
|
:- pragma foreign_proc("Java",
|
|
cast_from_int(I::in) = (I32::out),
|
|
[will_not_call_mercury, promise_pure, thread_safe],
|
|
"
|
|
I32 = I;
|
|
").
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|
%---------------------------------------------------------------------------%
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|
|
:- pragma foreign_proc("C",
|
|
to_int(I32::in) = (I::out),
|
|
[will_not_call_mercury, promise_pure, thread_safe, will_not_modify_trail],
|
|
"
|
|
I = I32;
|
|
").
|
|
|
|
:- pragma foreign_proc("C#",
|
|
to_int(I32::in) = (I::out),
|
|
[will_not_call_mercury, promise_pure, thread_safe],
|
|
"
|
|
I = I32;
|
|
").
|
|
|
|
:- pragma foreign_proc("Java",
|
|
to_int(I32::in) = (I::out),
|
|
[will_not_call_mercury, promise_pure, thread_safe],
|
|
"
|
|
I = I32;
|
|
").
|
|
|
|
:- pragma foreign_proc("C",
|
|
cast_to_int(I32::in) = (I::out),
|
|
[will_not_call_mercury, promise_pure, thread_safe, will_not_modify_trail],
|
|
"
|
|
I = I32;
|
|
").
|
|
|
|
:- pragma foreign_proc("C#",
|
|
cast_to_int(I32::in) = (I::out),
|
|
[will_not_call_mercury, promise_pure, thread_safe],
|
|
"
|
|
I = I32;
|
|
").
|
|
|
|
:- pragma foreign_proc("Java",
|
|
cast_to_int(I32::in) = (I::out),
|
|
[will_not_call_mercury, promise_pure, thread_safe],
|
|
"
|
|
I = I32;
|
|
").
|
|
|
|
%---------------------------------------------------------------------------%
|
|
|
|
:- pragma foreign_proc("C",
|
|
cast_to_int8(I32::in) = (I8::out),
|
|
[will_not_call_mercury, promise_pure, thread_safe, will_not_modify_trail,
|
|
does_not_affect_liveness],
|
|
"
|
|
I8 = (int8_t) I32;
|
|
").
|
|
|
|
:- pragma foreign_proc("C#",
|
|
cast_to_int8(I32::in) = (I8::out),
|
|
[will_not_call_mercury, promise_pure, thread_safe],
|
|
"
|
|
I8 = (sbyte) I32;
|
|
").
|
|
|
|
:- pragma foreign_proc("Java",
|
|
cast_to_int8(I32::in) = (I8::out),
|
|
[will_not_call_mercury, promise_pure, thread_safe],
|
|
"
|
|
I8 = (byte) I32;
|
|
").
|
|
|
|
%---------------------------------------------------------------------------%
|
|
|
|
:- pragma foreign_proc("C",
|
|
cast_from_int8(I8::in) = (I32::out),
|
|
[will_not_call_mercury, promise_pure, thread_safe, will_not_modify_trail,
|
|
does_not_affect_liveness],
|
|
"
|
|
I32 = I8;
|
|
").
|
|
|
|
:- pragma foreign_proc("C#",
|
|
cast_from_int8(I8::in) = (I32::out),
|
|
[will_not_call_mercury, promise_pure, thread_safe],
|
|
"
|
|
I32 = I8;
|
|
").
|
|
|
|
:- pragma foreign_proc("Java",
|
|
cast_from_int8(I8::in) = (I32::out),
|
|
[will_not_call_mercury, promise_pure, thread_safe],
|
|
"
|
|
I32 = I8;
|
|
").
|
|
|
|
%---------------------------------------------------------------------------%
|
|
|
|
:- pragma foreign_proc("C",
|
|
cast_to_int16(I32::in) = (I16::out),
|
|
[will_not_call_mercury, promise_pure, thread_safe, will_not_modify_trail,
|
|
does_not_affect_liveness],
|
|
"
|
|
I16 = (int16_t) I32;
|
|
").
|
|
|
|
:- pragma foreign_proc("C#",
|
|
cast_to_int16(I32::in) = (I16::out),
|
|
[will_not_call_mercury, promise_pure, thread_safe],
|
|
"
|
|
I16 = (short) I32;
|
|
").
|
|
|
|
:- pragma foreign_proc("Java",
|
|
cast_to_int16(I32::in) = (I16::out),
|
|
[will_not_call_mercury, promise_pure, thread_safe],
|
|
"
|
|
I16 = (short) I32;
|
|
").
|
|
|
|
%---------------------------------------------------------------------------%
|
|
|
|
:- pragma foreign_proc("C",
|
|
cast_from_int16(I16::in) = (I32::out),
|
|
[will_not_call_mercury, promise_pure, thread_safe, will_not_modify_trail,
|
|
does_not_affect_liveness],
|
|
"
|
|
I32 = I16;
|
|
").
|
|
|
|
:- pragma foreign_proc("C#",
|
|
cast_from_int16(I16::in) = (I32::out),
|
|
[will_not_call_mercury, promise_pure, thread_safe],
|
|
"
|
|
I32 = I16;
|
|
").
|
|
|
|
:- pragma foreign_proc("Java",
|
|
cast_from_int16(I16::in) = (I32::out),
|
|
[will_not_call_mercury, promise_pure, thread_safe],
|
|
"
|
|
I32 = I16;
|
|
").
|
|
|
|
%---------------------------------------------------------------------------%
|
|
|
|
:- pragma foreign_proc("C",
|
|
cast_to_int64(I32::in) = (I64::out),
|
|
[will_not_call_mercury, promise_pure, thread_safe, will_not_modify_trail,
|
|
does_not_affect_liveness],
|
|
"
|
|
I64 = (int64_t) I32;
|
|
").
|
|
|
|
:- pragma foreign_proc("C#",
|
|
cast_to_int64(I32::in) = (I64::out),
|
|
[will_not_call_mercury, promise_pure, thread_safe],
|
|
"
|
|
I64 = (long) I32;
|
|
").
|
|
|
|
:- pragma foreign_proc("Java",
|
|
cast_to_int64(I32::in) = (I64::out),
|
|
[will_not_call_mercury, promise_pure, thread_safe],
|
|
"
|
|
I64 = (long) I32;
|
|
").
|
|
|
|
%---------------------------------------------------------------------------%
|
|
|
|
from_int64(I64, I32) :-
|
|
( if I64 > int32.cast_to_int64(int32.max_int32) then
|
|
fail
|
|
else if I64 < int32.cast_to_int64(int32.min_int32) then
|
|
fail
|
|
else
|
|
I32 = int32.cast_from_int64(I64)
|
|
).
|
|
|
|
det_from_int64(I64) = I32 :-
|
|
( if from_int64(I64, I32Prime) then
|
|
I32 = I32Prime
|
|
else
|
|
error($pred, "cannot convert int64 to int32")
|
|
).
|
|
|
|
%---------------------------------------------------------------------------%
|
|
|
|
:- pragma foreign_proc("C",
|
|
cast_from_int64(I64::in) = (I32::out),
|
|
[will_not_call_mercury, promise_pure, thread_safe, will_not_modify_trail,
|
|
does_not_affect_liveness],
|
|
"
|
|
I32 = (int32_t) I64;
|
|
").
|
|
|
|
:- pragma foreign_proc("C#",
|
|
cast_from_int64(I64::in) = (I32::out),
|
|
[will_not_call_mercury, promise_pure, thread_safe],
|
|
"
|
|
I32 = (int) I64;
|
|
").
|
|
|
|
:- pragma foreign_proc("Java",
|
|
cast_from_int64(I64::in) = (I32::out),
|
|
[will_not_call_mercury, promise_pure, thread_safe],
|
|
"
|
|
I32 = (int) I64;
|
|
").
|
|
|
|
%---------------------------------------------------------------------------%
|
|
|
|
:- pragma foreign_proc("C",
|
|
cast_from_uint32(U32::in) = (I32::out),
|
|
[will_not_call_mercury, promise_pure, thread_safe, will_not_modify_trail,
|
|
does_not_affect_liveness],
|
|
"
|
|
I32 = U32;
|
|
").
|
|
|
|
:- pragma foreign_proc("C#",
|
|
cast_from_uint32(U32::in) = (I32::out),
|
|
[will_not_call_mercury, promise_pure, thread_safe],
|
|
"
|
|
I32 = (int) U32;
|
|
").
|
|
|
|
:- pragma foreign_proc("Java",
|
|
cast_from_uint32(U32::in) = (I32::out),
|
|
[will_not_call_mercury, promise_pure, thread_safe],
|
|
"
|
|
I32 = U32;
|
|
").
|
|
|
|
%---------------------------------------------------------------------------%
|
|
|
|
:- pragma foreign_proc("C",
|
|
from_bytes_le(Byte0::in, Byte1::in, Byte2::in, Byte3::in) = (I32::out),
|
|
[will_not_call_mercury, promise_pure, thread_safe, will_not_modify_trail],
|
|
"
|
|
unsigned char *int32_bytes = (unsigned char *) &I32;
|
|
#if defined(MR_BIG_ENDIAN)
|
|
int32_bytes[0] = Byte3;
|
|
int32_bytes[1] = Byte2;
|
|
int32_bytes[2] = Byte1;
|
|
int32_bytes[3] = Byte0;
|
|
#else
|
|
int32_bytes[0] = Byte0;
|
|
int32_bytes[1] = Byte1;
|
|
int32_bytes[2] = Byte2;
|
|
int32_bytes[3] = Byte3;
|
|
#endif
|
|
").
|
|
|
|
:- pragma foreign_proc("Java",
|
|
from_bytes_le(Byte0::in, Byte1::in, Byte2::in, Byte3::in) = (I32::out),
|
|
[will_not_call_mercury, promise_pure, thread_safe],
|
|
"
|
|
I32 =
|
|
(Byte3 & 0xff) << 24 |
|
|
(Byte2 & 0xff) << 16 |
|
|
(Byte1 & 0xff) << 8 |
|
|
(Byte0 & 0xff);
|
|
").
|
|
|
|
:- pragma foreign_proc("C#",
|
|
from_bytes_le(Byte0::in, Byte1::in, Byte2::in, Byte3::in) = (I32::out),
|
|
[will_not_call_mercury, promise_pure, thread_safe],
|
|
"
|
|
I32 = (Byte3 << 24 | Byte2 << 16 | Byte1 << 8 | Byte0);
|
|
").
|
|
|
|
from_bytes_be(Byte3, Byte2, Byte1, Byte0) =
|
|
from_bytes_le(Byte0, Byte1, Byte2, Byte3).
|
|
|
|
%---------------------------------------------------------------------------%
|
|
|
|
% The comparison operations <, >, =< and >= are builtins.
|
|
|
|
max(X, Y) =
|
|
( if X > Y then X else Y ).
|
|
|
|
min(X, Y) =
|
|
( if X < Y then X else Y ).
|
|
|
|
clamp(Min, Max, N) =
|
|
( if Max >= Min then
|
|
( if N < Min then Min else if N > Max then Max else N )
|
|
else
|
|
func_error($pred, "Max < Min")
|
|
).
|
|
|
|
%---------------------------------------------------------------------------%
|
|
|
|
abs(Num) =
|
|
( if Num = int32.min_int32 then
|
|
func_error($pred, "abs(min_int32) would overflow")
|
|
else
|
|
unchecked_abs(Num)
|
|
).
|
|
|
|
unchecked_abs(Num) =
|
|
( if Num < 0i32 then
|
|
0i32 - Num
|
|
else
|
|
Num
|
|
).
|
|
|
|
nabs(Num) =
|
|
( if Num > 0i32 then
|
|
-Num
|
|
else
|
|
Num
|
|
).
|
|
|
|
%---------------------------------------------------------------------------%
|
|
|
|
% The operations + and - (both unary and binary), plus, minus, *, and times
|
|
% are builtins.
|
|
|
|
X div Y = Div :-
|
|
Trunc = X // Y,
|
|
( if
|
|
( X >= 0i32, Y >= 0i32
|
|
; X < 0i32, Y < 0i32
|
|
; X rem Y = 0i32
|
|
)
|
|
then
|
|
Div = Trunc
|
|
else
|
|
Div = Trunc - 1i32
|
|
).
|
|
|
|
:- pragma inline(func('//'/2)).
|
|
X // Y = Div :-
|
|
( if Y = 0i32 then
|
|
throw(domain_error("int32.'//': division by zero"))
|
|
else
|
|
Div = unchecked_quotient(X, Y)
|
|
).
|
|
|
|
:- pragma inline(func('/'/2)).
|
|
X / Y = X // Y.
|
|
|
|
X mod Y = X - (X div Y) * Y.
|
|
|
|
:- pragma inline(func(rem/2)).
|
|
X rem Y = Rem :-
|
|
( if Y = 0i32 then
|
|
throw(domain_error("int32.rem: division by zero"))
|
|
else
|
|
Rem = unchecked_rem(X, Y)
|
|
).
|
|
|
|
:- pragma inline(pred(even/1)).
|
|
even(X) :-
|
|
(X /\ 1i32) = 0i32.
|
|
|
|
:- pragma inline(pred(odd/1)).
|
|
odd(X) :-
|
|
(X /\ 1i32) \= 0i32.
|
|
|
|
%---------------------------------------------------------------------------%
|
|
|
|
% The unchecked shift operations are builtins.
|
|
|
|
X << Y = Result :-
|
|
( if cast_from_int(Y) < 32u then
|
|
Result = unchecked_left_shift(X, Y)
|
|
else
|
|
Msg = "int32.(<<): second operand is out of range",
|
|
throw(domain_error(Msg))
|
|
).
|
|
|
|
X <<u Y = Result :-
|
|
( if Y < 32u then
|
|
Result = unchecked_left_ushift(X, Y)
|
|
else
|
|
Msg = "int32.(<<u): second operand is out of range",
|
|
throw(domain_error(Msg))
|
|
).
|
|
|
|
X >> Y = Result :-
|
|
( if cast_from_int(Y) < 32u then
|
|
Result = unchecked_right_shift(X, Y)
|
|
else
|
|
Msg = "int32.(>>): second operand is out of range",
|
|
throw(domain_error(Msg))
|
|
).
|
|
|
|
X >>u Y = Result :-
|
|
( if Y < 32u then
|
|
Result = unchecked_right_ushift(X, Y)
|
|
else
|
|
Msg = "int32.(>>u): second operand is out of range",
|
|
throw(domain_error(Msg))
|
|
).
|
|
|
|
%---------------------------------------------------------------------------%
|
|
|
|
num_zeros(I) = 32 - num_ones(I).
|
|
|
|
:- pragma foreign_proc("Java",
|
|
num_ones(U::in) = (N::out),
|
|
[will_not_call_mercury, promise_pure, thread_safe],
|
|
"
|
|
N = java.lang.Integer.bitCount(U);
|
|
").
|
|
|
|
num_ones(I32) = N :-
|
|
U32 = uint32.cast_from_int32(I32),
|
|
N = uint32.num_ones(U32).
|
|
|
|
%---------------------%
|
|
|
|
:- pragma foreign_proc("Java",
|
|
num_leading_zeros(U::in) = (N::out),
|
|
[will_not_call_mercury, promise_pure, thread_safe],
|
|
"
|
|
N = java.lang.Integer.numberOfLeadingZeros(U);
|
|
").
|
|
|
|
num_leading_zeros(I32) = N :-
|
|
U32 = uint32.cast_from_int32(I32),
|
|
N = uint32.num_leading_zeros(U32).
|
|
|
|
|
|
:- pragma foreign_proc("Java",
|
|
num_trailing_zeros(U::in) = (N::out),
|
|
[will_not_call_mercury, promise_pure, thread_safe],
|
|
"
|
|
N = java.lang.Integer.numberOfTrailingZeros(U);
|
|
").
|
|
|
|
num_trailing_zeros(I32) = N :-
|
|
U32 = uint32.cast_from_int32(I32),
|
|
N = uint32.num_trailing_zeros(U32).
|
|
|
|
%---------------------%
|
|
|
|
:- pragma foreign_proc("C",
|
|
reverse_bytes(A::in) = (B::out),
|
|
[will_not_call_mercury, promise_pure, thread_safe, will_not_modify_trail],
|
|
"
|
|
B = (int32_t) MR_uint32_reverse_bytes((uint32_t) A);
|
|
").
|
|
|
|
:- pragma foreign_proc("C#",
|
|
reverse_bytes(A::in) = (B::out),
|
|
[will_not_call_mercury, promise_pure, thread_safe],
|
|
"
|
|
uint u_A = (uint) A;
|
|
|
|
B = (int)
|
|
((u_A & 0x000000ffU) << 24 |
|
|
(u_A & 0x0000ff00U) << 8 |
|
|
(u_A & 0x00ff0000U) >> 8 |
|
|
(u_A & 0xff000000U) >> 24);
|
|
").
|
|
|
|
:- pragma foreign_proc("Java",
|
|
reverse_bytes(A::in) = (B::out),
|
|
[will_not_call_mercury, promise_pure, thread_safe],
|
|
"
|
|
B = java.lang.Integer.reverseBytes(A);
|
|
").
|
|
|
|
%---------------------%
|
|
|
|
:- pragma foreign_proc("Java",
|
|
reverse_bits(A::in) = (B::out),
|
|
[will_not_call_mercury, promise_pure, thread_safe],
|
|
"
|
|
B = java.lang.Integer.reverse(A);
|
|
").
|
|
|
|
reverse_bits(I32) = RevI32 :-
|
|
U32 = uint32.cast_from_int32(I32),
|
|
RevU32 = uint32.reverse_bits(U32),
|
|
RevI32 = int32.cast_from_uint32(RevU32).
|
|
|
|
%---------------------------------------------------------------------------%
|
|
|
|
min_int32 = -2_147_483_648_i32.
|
|
|
|
max_int32 = 2_147_483_647_i32.
|
|
|
|
%---------------------------------------------------------------------------%
|
|
|
|
int32_to_doc(I) = pretty_printer.int32_to_doc(I).
|
|
|
|
%---------------------------------------------------------------------------%
|
|
:- end_module int32.
|
|
%---------------------------------------------------------------------------%
|