xref: /freebsd/lib/libc/quad/quad.h (revision dc36d6f9bb1753f3808552f3afd30eda9a7b206a)
158f0484fSRodney W. Grimes /*-
28a16b7a1SPedro F. Giffuni  * SPDX-License-Identifier: BSD-3-Clause
38a16b7a1SPedro F. Giffuni  *
458f0484fSRodney W. Grimes  * Copyright (c) 1992, 1993
558f0484fSRodney W. Grimes  *	The Regents of the University of California.  All rights reserved.
658f0484fSRodney W. Grimes  *
758f0484fSRodney W. Grimes  * This software was developed by the Computer Systems Engineering group
858f0484fSRodney W. Grimes  * at Lawrence Berkeley Laboratory under DARPA contract BG 91-66 and
958f0484fSRodney W. Grimes  * contributed to Berkeley.
1058f0484fSRodney W. Grimes  *
1158f0484fSRodney W. Grimes  * Redistribution and use in source and binary forms, with or without
1258f0484fSRodney W. Grimes  * modification, are permitted provided that the following conditions
1358f0484fSRodney W. Grimes  * are met:
1458f0484fSRodney W. Grimes  * 1. Redistributions of source code must retain the above copyright
1558f0484fSRodney W. Grimes  *    notice, this list of conditions and the following disclaimer.
1658f0484fSRodney W. Grimes  * 2. Redistributions in binary form must reproduce the above copyright
1758f0484fSRodney W. Grimes  *    notice, this list of conditions and the following disclaimer in the
1858f0484fSRodney W. Grimes  *    documentation and/or other materials provided with the distribution.
19fbbd9655SWarner Losh  * 3. Neither the name of the University nor the names of its contributors
2058f0484fSRodney W. Grimes  *    may be used to endorse or promote products derived from this software
2158f0484fSRodney W. Grimes  *    without specific prior written permission.
2258f0484fSRodney W. Grimes  *
2358f0484fSRodney W. Grimes  * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
2458f0484fSRodney W. Grimes  * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
2558f0484fSRodney W. Grimes  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
2658f0484fSRodney W. Grimes  * ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
2758f0484fSRodney W. Grimes  * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
2858f0484fSRodney W. Grimes  * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
2958f0484fSRodney W. Grimes  * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
3058f0484fSRodney W. Grimes  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
3158f0484fSRodney W. Grimes  * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
3258f0484fSRodney W. Grimes  * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
3358f0484fSRodney W. Grimes  * SUCH DAMAGE.
3458f0484fSRodney W. Grimes  */
3558f0484fSRodney W. Grimes 
3658f0484fSRodney W. Grimes /*
3758f0484fSRodney W. Grimes  * Quad arithmetic.
3858f0484fSRodney W. Grimes  *
3958f0484fSRodney W. Grimes  * This library makes the following assumptions:
4058f0484fSRodney W. Grimes  *
4158f0484fSRodney W. Grimes  *  - The type long long (aka quad_t) exists.
4258f0484fSRodney W. Grimes  *
4358f0484fSRodney W. Grimes  *  - A quad variable is exactly twice as long as `long'.
4458f0484fSRodney W. Grimes  *
4558f0484fSRodney W. Grimes  *  - The machine's arithmetic is two's complement.
4658f0484fSRodney W. Grimes  *
4758f0484fSRodney W. Grimes  * This library can provide 128-bit arithmetic on a machine with 128-bit
4858f0484fSRodney W. Grimes  * quads and 64-bit longs, for instance, or 96-bit arithmetic on machines
4958f0484fSRodney W. Grimes  * with 48-bit longs.
5058f0484fSRodney W. Grimes  */
5158f0484fSRodney W. Grimes 
5258f0484fSRodney W. Grimes #include <sys/types.h>
5358f0484fSRodney W. Grimes #include <limits.h>
5458f0484fSRodney W. Grimes 
5558f0484fSRodney W. Grimes /*
5658f0484fSRodney W. Grimes  * Depending on the desired operation, we view a `long long' (aka quad_t) in
5758f0484fSRodney W. Grimes  * one or more of the following formats.
5858f0484fSRodney W. Grimes  */
5958f0484fSRodney W. Grimes union uu {
6058f0484fSRodney W. Grimes 	quad_t	q;		/* as a (signed) quad */
6158f0484fSRodney W. Grimes 	quad_t	uq;		/* as an unsigned quad */
6258f0484fSRodney W. Grimes 	long	sl[2];		/* as two signed longs */
6358f0484fSRodney W. Grimes 	u_long	ul[2];		/* as two unsigned longs */
6458f0484fSRodney W. Grimes };
6558f0484fSRodney W. Grimes 
6658f0484fSRodney W. Grimes /*
6758f0484fSRodney W. Grimes  * Define high and low longwords.
6858f0484fSRodney W. Grimes  */
6958f0484fSRodney W. Grimes #define	H		_QUAD_HIGHWORD
7058f0484fSRodney W. Grimes #define	L		_QUAD_LOWWORD
7158f0484fSRodney W. Grimes 
7258f0484fSRodney W. Grimes /*
7358f0484fSRodney W. Grimes  * Total number of bits in a quad_t and in the pieces that make it up.
7458f0484fSRodney W. Grimes  * These are used for shifting, and also below for halfword extraction
7558f0484fSRodney W. Grimes  * and assembly.
7658f0484fSRodney W. Grimes  */
7758f0484fSRodney W. Grimes #define	QUAD_BITS	(sizeof(quad_t) * CHAR_BIT)
7858f0484fSRodney W. Grimes #define	LONG_BITS	(sizeof(long) * CHAR_BIT)
7958f0484fSRodney W. Grimes #define	HALF_BITS	(sizeof(long) * CHAR_BIT / 2)
8058f0484fSRodney W. Grimes 
8158f0484fSRodney W. Grimes /*
8258f0484fSRodney W. Grimes  * Extract high and low shortwords from longword, and move low shortword of
8358f0484fSRodney W. Grimes  * longword to upper half of long, i.e., produce the upper longword of
8458f0484fSRodney W. Grimes  * ((quad_t)(x) << (number_of_bits_in_long/2)).  (`x' must actually be u_long.)
8558f0484fSRodney W. Grimes  *
8658f0484fSRodney W. Grimes  * These are used in the multiply code, to split a longword into upper
8758f0484fSRodney W. Grimes  * and lower halves, and to reassemble a product as a quad_t, shifted left
8858f0484fSRodney W. Grimes  * (sizeof(long)*CHAR_BIT/2).
8958f0484fSRodney W. Grimes  */
9058f0484fSRodney W. Grimes #define	HHALF(x)	((x) >> HALF_BITS)
91*feb1d550SDimitry Andric #define	LHALF(x)	((x) & ((1L << HALF_BITS) - 1))
9258f0484fSRodney W. Grimes #define	LHUP(x)		((x) << HALF_BITS)
9358f0484fSRodney W. Grimes 
94a3b5200eSStefan Farfeleder int		__cmpdi2(quad_t a, quad_t b);
95c05ac53bSDavid E. O'Brien quad_t		__divdi3(quad_t a, quad_t b);
96c05ac53bSDavid E. O'Brien quad_t		__moddi3(quad_t a, quad_t b);
97c05ac53bSDavid E. O'Brien u_quad_t	__qdivrem(u_quad_t u, u_quad_t v, u_quad_t *rem);
98a3b5200eSStefan Farfeleder int		__ucmpdi2(u_quad_t a, u_quad_t b);
99c05ac53bSDavid E. O'Brien u_quad_t	__udivdi3(u_quad_t a, u_quad_t b);
100c05ac53bSDavid E. O'Brien u_quad_t	__umoddi3(u_quad_t a, u_quad_t b);
10158f0484fSRodney W. Grimes 
10258f0484fSRodney W. Grimes typedef unsigned int	qshift_t;
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