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/*
* Copyright (c) 1999-2000 Image Power, Inc. and the University of
* British Columbia.
* Copyright (c) 2001-2002 Michael David Adams.
* All rights reserved.
*/
/* __START_OF_JASPER_LICENSE__
*
* JasPer License Version 2.0
*
* Copyright (c) 2001-2006 Michael David Adams
* Copyright (c) 1999-2000 Image Power, Inc.
* Copyright (c) 1999-2000 The University of British Columbia
*
* All rights reserved.
*
* Permission is hereby granted, free of charge, to any person (the
* "User") obtaining a copy of this software and associated documentation
* files (the "Software"), to deal in the Software without restriction,
* including without limitation the rights to use, copy, modify, merge,
* publish, distribute, and/or sell copies of the Software, and to permit
* persons to whom the Software is furnished to do so, subject to the
* following conditions:
*
* 1. The above copyright notices and this permission notice (which
* includes the disclaimer below) shall be included in all copies or
* substantial portions of the Software.
*
* 2. The name of a copyright holder shall not be used to endorse or
* promote products derived from the Software without specific prior
* written permission.
*
* THIS DISCLAIMER OF WARRANTY CONSTITUTES AN ESSENTIAL PART OF THIS
* LICENSE. NO USE OF THE SOFTWARE IS AUTHORIZED HEREUNDER EXCEPT UNDER
* THIS DISCLAIMER. THE SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS
* "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING
* BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A
* PARTICULAR PURPOSE AND NONINFRINGEMENT OF THIRD PARTY RIGHTS. IN NO
* EVENT SHALL THE COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, OR ANY SPECIAL
* INDIRECT OR CONSEQUENTIAL DAMAGES, OR ANY DAMAGES WHATSOEVER RESULTING
* FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN ACTION OF CONTRACT,
* NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION
* WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. NO ASSURANCES ARE
* PROVIDED BY THE COPYRIGHT HOLDERS THAT THE SOFTWARE DOES NOT INFRINGE
* THE PATENT OR OTHER INTELLECTUAL PROPERTY RIGHTS OF ANY OTHER ENTITY.
* EACH COPYRIGHT HOLDER DISCLAIMS ANY LIABILITY TO THE USER FOR CLAIMS
* BROUGHT BY ANY OTHER ENTITY BASED ON INFRINGEMENT OF INTELLECTUAL
* PROPERTY RIGHTS OR OTHERWISE. AS A CONDITION TO EXERCISING THE RIGHTS
* GRANTED HEREUNDER, EACH USER HEREBY ASSUMES SOLE RESPONSIBILITY TO SECURE
* ANY OTHER INTELLECTUAL PROPERTY RIGHTS NEEDED, IF ANY. THE SOFTWARE
* IS NOT FAULT-TOLERANT AND IS NOT INTENDED FOR USE IN MISSION-CRITICAL
* SYSTEMS, SUCH AS THOSE USED IN THE OPERATION OF NUCLEAR FACILITIES,
* AIRCRAFT NAVIGATION OR COMMUNICATION SYSTEMS, AIR TRAFFIC CONTROL
* SYSTEMS, DIRECT LIFE SUPPORT MACHINES, OR WEAPONS SYSTEMS, IN WHICH
* THE FAILURE OF THE SOFTWARE OR SYSTEM COULD LEAD DIRECTLY TO DEATH,
* PERSONAL INJURY, OR SEVERE PHYSICAL OR ENVIRONMENTAL DAMAGE ("HIGH
* RISK ACTIVITIES"). THE COPYRIGHT HOLDERS SPECIFICALLY DISCLAIM ANY
* EXPRESS OR IMPLIED WARRANTY OF FITNESS FOR HIGH RISK ACTIVITIES.
*
* __END_OF_JASPER_LICENSE__
*/
/*
* Math-Related Code
*
* $Id$
*/
#ifndef JAS_MATH_H
#define JAS_MATH_H
/******************************************************************************\
* Includes
\******************************************************************************/
#include <jasper/jas_config.h>
#include <jasper/jas_types.h>
#include <assert.h>
#include <stdio.h>
#include <string.h>
#include <stdbool.h>
#include <stdint.h>
#ifdef __cplusplus
extern "C" {
#ifndef SIZE_MAX
#define SIZE_MAX ((size_t) - 1)
#endif
#endif
/******************************************************************************\
* Macros
\******************************************************************************/
/* Compute the absolute value. */
#define JAS_ABS(x) \
(((x) >= 0) ? (x) : (-(x)))
/* Compute the minimum of two values. */
#define JAS_MIN(x, y) \
(((x) < (y)) ? (x) : (y))
/* Compute the maximum of two values. */
#define JAS_MAX(x, y) \
(((x) > (y)) ? (x) : (y))
/* Compute the remainder from division (where division is defined such
that the remainder is always nonnegative). */
#define JAS_MOD(x, y) \
(((x) < 0) ? (((-x) % (y)) ? ((y) - ((-(x)) % (y))) : (0)) : ((x) % (y)))
/* Compute the integer with the specified number of least significant bits
set to one. */
#define JAS_ONES(n) \
((1 << (n)) - 1)
/******************************************************************************\
*
\******************************************************************************/
__attribute__((no_sanitize("undefined")))
inline static jas_int_asr(int x, int n)
{
assert(n >= 0);
return x >> n;
}
__attribute__((no_sanitize("undefined")))
inline static jas_int_asl(int x, int n)
{
assert(n >= 0);
return x << n;
}
/******************************************************************************\
* Safe integer arithmetic (i.e., with overflow checking).
\******************************************************************************/
/* Compute the product of two size_t integers with overflow checking. */
inline static bool jas_safe_size_mul(size_t x, size_t y, size_t *result)
{
/* Check if overflow would occur */
if (x && y > SIZE_MAX / x) {
/* Overflow would occur. */
return false;
}
if (result) {
*result = x * y;
}
return true;
}
inline static bool jas_safe_size_mul3(size_t a, size_t b, size_t c,
size_t *result)
{
size_t tmp;
if (!jas_safe_size_mul(a, b, &tmp) ||
!jas_safe_size_mul(tmp, c, &tmp)) {
return false;
}
if (result) {
*result = tmp;
}
return true;
}
/* Compute the sum of two size_t integer with overflow checking. */
inline static bool jas_safe_size_add(size_t x, size_t y, size_t *result)
{
if (y > SIZE_MAX - x) {
return false;
}
if (result) {
*result = x + y;
}
return true;
}
/* Compute the difference of two size_t integer with overflow checking. */
inline static bool jas_safe_size_sub(size_t x, size_t y, size_t *result)
{
if (y > x) {
return false;
}
if (result) {
*result = x - y;
}
return true;
}
#ifdef __cplusplus
}
#endif
#endif