2020-08-25 18:06:09 +08:00
|
|
|
/*
|
|
|
|
* The copyright in this software is being made available under the 2-clauses
|
|
|
|
* BSD License, included below. This software may be subject to other third
|
|
|
|
* party and contributor rights, including patent rights, and no such rights
|
|
|
|
* are granted under this license.
|
|
|
|
*
|
|
|
|
* Copyright (c) 2002-2014, Universite catholique de Louvain (UCL), Belgium
|
|
|
|
* Copyright (c) 2002-2014, Professor Benoit Macq
|
|
|
|
* Copyright (c) 2001-2003, David Janssens
|
|
|
|
* Copyright (c) 2002-2003, Yannick Verschueren
|
|
|
|
* Copyright (c) 2003-2007, Francois-Olivier Devaux
|
|
|
|
* Copyright (c) 2003-2014, Antonin Descampe
|
|
|
|
* Copyright (c) 2005, Herve Drolon, FreeImage Team
|
|
|
|
* All rights reserved.
|
|
|
|
*
|
|
|
|
* Redistribution and use in source and binary forms, with or without
|
|
|
|
* modification, are permitted provided that the following conditions
|
|
|
|
* are met:
|
|
|
|
* 1. Redistributions of source code must retain the above copyright
|
|
|
|
* notice, this list of conditions and the following disclaimer.
|
|
|
|
* 2. Redistributions in binary form must reproduce the above copyright
|
|
|
|
* notice, this list of conditions and the following disclaimer in the
|
|
|
|
* documentation and/or other materials provided with the distribution.
|
|
|
|
*
|
|
|
|
* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS `AS IS'
|
|
|
|
* AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
|
|
|
|
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
|
|
|
|
* ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
|
|
|
|
* LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
|
|
|
|
* CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
|
|
|
|
* SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
|
|
|
|
* INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
|
|
|
|
* CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
|
|
|
|
* ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
|
|
|
|
* POSSIBILITY OF SUCH DAMAGE.
|
|
|
|
*/
|
|
|
|
#ifndef OPJ_INTMATH_H
|
|
|
|
#define OPJ_INTMATH_H
|
|
|
|
/**
|
|
|
|
@file opj_intmath.h
|
|
|
|
@brief Implementation of operations on integers (INT)
|
|
|
|
|
|
|
|
The functions in OPJ_INTMATH.H have for goal to realize operations on integers.
|
|
|
|
*/
|
|
|
|
|
|
|
|
/** @defgroup OPJ_INTMATH OPJ_INTMATH - Implementation of operations on integers */
|
|
|
|
/*@{*/
|
|
|
|
|
|
|
|
/** @name Exported functions (see also openjpeg.h) */
|
|
|
|
/*@{*/
|
|
|
|
/* ----------------------------------------------------------------------- */
|
|
|
|
/**
|
|
|
|
Get the minimum of two integers
|
|
|
|
@return Returns a if a < b else b
|
|
|
|
*/
|
|
|
|
static INLINE OPJ_INT32 opj_int_min(OPJ_INT32 a, OPJ_INT32 b)
|
|
|
|
{
|
|
|
|
return a < b ? a : b;
|
|
|
|
}
|
|
|
|
|
|
|
|
/**
|
|
|
|
Get the minimum of two integers
|
|
|
|
@return Returns a if a < b else b
|
|
|
|
*/
|
|
|
|
static INLINE OPJ_UINT32 opj_uint_min(OPJ_UINT32 a, OPJ_UINT32 b)
|
|
|
|
{
|
|
|
|
return a < b ? a : b;
|
|
|
|
}
|
|
|
|
|
|
|
|
/**
|
|
|
|
Get the maximum of two integers
|
|
|
|
@return Returns a if a > b else b
|
|
|
|
*/
|
|
|
|
static INLINE OPJ_INT32 opj_int_max(OPJ_INT32 a, OPJ_INT32 b)
|
|
|
|
{
|
|
|
|
return (a > b) ? a : b;
|
|
|
|
}
|
|
|
|
|
|
|
|
/**
|
|
|
|
Get the maximum of two integers
|
|
|
|
@return Returns a if a > b else b
|
|
|
|
*/
|
|
|
|
static INLINE OPJ_UINT32 opj_uint_max(OPJ_UINT32 a, OPJ_UINT32 b)
|
|
|
|
{
|
|
|
|
return (a > b) ? a : b;
|
|
|
|
}
|
|
|
|
|
|
|
|
/**
|
|
|
|
Get the saturated sum of two unsigned integers
|
|
|
|
@return Returns saturated sum of a+b
|
|
|
|
*/
|
|
|
|
static INLINE OPJ_UINT32 opj_uint_adds(OPJ_UINT32 a, OPJ_UINT32 b)
|
|
|
|
{
|
|
|
|
OPJ_UINT64 sum = (OPJ_UINT64)a + (OPJ_UINT64)b;
|
|
|
|
return (OPJ_UINT32)(-(OPJ_INT32)(sum >> 32)) | (OPJ_UINT32)sum;
|
|
|
|
}
|
|
|
|
|
|
|
|
/**
|
|
|
|
Get the saturated difference of two unsigned integers
|
|
|
|
@return Returns saturated sum of a-b
|
|
|
|
*/
|
|
|
|
static INLINE OPJ_UINT32 opj_uint_subs(OPJ_UINT32 a, OPJ_UINT32 b)
|
|
|
|
{
|
|
|
|
return (a >= b) ? a - b : 0;
|
|
|
|
}
|
|
|
|
|
|
|
|
/**
|
|
|
|
Clamp an integer inside an interval
|
|
|
|
@return
|
|
|
|
<ul>
|
|
|
|
<li>Returns a if (min < a < max)
|
|
|
|
<li>Returns max if (a > max)
|
|
|
|
<li>Returns min if (a < min)
|
|
|
|
</ul>
|
|
|
|
*/
|
|
|
|
static INLINE OPJ_INT32 opj_int_clamp(OPJ_INT32 a, OPJ_INT32 min,
|
|
|
|
OPJ_INT32 max)
|
|
|
|
{
|
|
|
|
if (a < min) {
|
|
|
|
return min;
|
|
|
|
}
|
|
|
|
if (a > max) {
|
|
|
|
return max;
|
|
|
|
}
|
|
|
|
return a;
|
|
|
|
}
|
|
|
|
|
|
|
|
/**
|
|
|
|
Clamp an integer inside an interval
|
|
|
|
@return
|
|
|
|
<ul>
|
|
|
|
<li>Returns a if (min < a < max)
|
|
|
|
<li>Returns max if (a > max)
|
|
|
|
<li>Returns min if (a < min)
|
|
|
|
</ul>
|
|
|
|
*/
|
|
|
|
static INLINE OPJ_INT64 opj_int64_clamp(OPJ_INT64 a, OPJ_INT64 min,
|
|
|
|
OPJ_INT64 max)
|
|
|
|
{
|
|
|
|
if (a < min) {
|
|
|
|
return min;
|
|
|
|
}
|
|
|
|
if (a > max) {
|
|
|
|
return max;
|
|
|
|
}
|
|
|
|
return a;
|
|
|
|
}
|
|
|
|
|
|
|
|
/**
|
|
|
|
@return Get absolute value of integer
|
|
|
|
*/
|
|
|
|
static INLINE OPJ_INT32 opj_int_abs(OPJ_INT32 a)
|
|
|
|
{
|
|
|
|
return a < 0 ? -a : a;
|
|
|
|
}
|
|
|
|
/**
|
|
|
|
Divide an integer and round upwards
|
|
|
|
@return Returns a divided by b
|
|
|
|
*/
|
|
|
|
static INLINE OPJ_INT32 opj_int_ceildiv(OPJ_INT32 a, OPJ_INT32 b)
|
|
|
|
{
|
|
|
|
assert(b);
|
|
|
|
return (OPJ_INT32)(((OPJ_INT64)a + b - 1) / b);
|
|
|
|
}
|
|
|
|
|
|
|
|
/**
|
|
|
|
Divide an integer and round upwards
|
|
|
|
@return Returns a divided by b
|
|
|
|
*/
|
|
|
|
static INLINE OPJ_UINT32 opj_uint_ceildiv(OPJ_UINT32 a, OPJ_UINT32 b)
|
|
|
|
{
|
|
|
|
assert(b);
|
|
|
|
return (OPJ_UINT32)(((OPJ_UINT64)a + b - 1) / b);
|
|
|
|
}
|
|
|
|
|
|
|
|
/**
|
|
|
|
Divide an integer by a power of 2 and round upwards
|
|
|
|
@return Returns a divided by 2^b
|
|
|
|
*/
|
|
|
|
static INLINE OPJ_INT32 opj_int_ceildivpow2(OPJ_INT32 a, OPJ_INT32 b)
|
|
|
|
{
|
|
|
|
return (OPJ_INT32)((a + ((OPJ_INT64)1 << b) - 1) >> b);
|
|
|
|
}
|
|
|
|
|
|
|
|
/**
|
|
|
|
Divide a 64bits integer by a power of 2 and round upwards
|
|
|
|
@return Returns a divided by 2^b
|
|
|
|
*/
|
|
|
|
static INLINE OPJ_INT32 opj_int64_ceildivpow2(OPJ_INT64 a, OPJ_INT32 b)
|
|
|
|
{
|
|
|
|
return (OPJ_INT32)((a + ((OPJ_INT64)1 << b) - 1) >> b);
|
|
|
|
}
|
|
|
|
|
|
|
|
/**
|
|
|
|
Divide an integer by a power of 2 and round upwards
|
|
|
|
@return Returns a divided by 2^b
|
|
|
|
*/
|
|
|
|
static INLINE OPJ_UINT32 opj_uint_ceildivpow2(OPJ_UINT32 a, OPJ_UINT32 b)
|
|
|
|
{
|
|
|
|
return (OPJ_UINT32)((a + ((OPJ_UINT64)1U << b) - 1U) >> b);
|
|
|
|
}
|
|
|
|
|
|
|
|
/**
|
|
|
|
Divide an integer by a power of 2 and round downwards
|
|
|
|
@return Returns a divided by 2^b
|
|
|
|
*/
|
|
|
|
static INLINE OPJ_INT32 opj_int_floordivpow2(OPJ_INT32 a, OPJ_INT32 b)
|
|
|
|
{
|
|
|
|
return a >> b;
|
|
|
|
}
|
2021-03-02 07:49:55 +08:00
|
|
|
|
|
|
|
/**
|
|
|
|
Divide an integer by a power of 2 and round downwards
|
|
|
|
@return Returns a divided by 2^b
|
|
|
|
*/
|
|
|
|
static INLINE OPJ_UINT32 opj_uint_floordivpow2(OPJ_UINT32 a, OPJ_UINT32 b)
|
|
|
|
{
|
|
|
|
return a >> b;
|
|
|
|
}
|
|
|
|
|
2020-08-25 18:06:09 +08:00
|
|
|
/**
|
|
|
|
Get logarithm of an integer and round downwards
|
|
|
|
@return Returns log2(a)
|
|
|
|
*/
|
|
|
|
static INLINE OPJ_INT32 opj_int_floorlog2(OPJ_INT32 a)
|
|
|
|
{
|
|
|
|
OPJ_INT32 l;
|
|
|
|
for (l = 0; a > 1; l++) {
|
|
|
|
a >>= 1;
|
|
|
|
}
|
|
|
|
return l;
|
|
|
|
}
|
|
|
|
/**
|
|
|
|
Get logarithm of an integer and round downwards
|
|
|
|
@return Returns log2(a)
|
|
|
|
*/
|
|
|
|
static INLINE OPJ_UINT32 opj_uint_floorlog2(OPJ_UINT32 a)
|
|
|
|
{
|
|
|
|
OPJ_UINT32 l;
|
|
|
|
for (l = 0; a > 1; ++l) {
|
|
|
|
a >>= 1;
|
|
|
|
}
|
|
|
|
return l;
|
|
|
|
}
|
|
|
|
|
|
|
|
/**
|
|
|
|
Multiply two fixed-precision rational numbers.
|
|
|
|
@param a
|
|
|
|
@param b
|
|
|
|
@return Returns a * b
|
|
|
|
*/
|
|
|
|
static INLINE OPJ_INT32 opj_int_fix_mul(OPJ_INT32 a, OPJ_INT32 b)
|
|
|
|
{
|
|
|
|
#if defined(_MSC_VER) && (_MSC_VER >= 1400) && !defined(__INTEL_COMPILER) && defined(_M_IX86)
|
|
|
|
OPJ_INT64 temp = __emul(a, b);
|
|
|
|
#else
|
|
|
|
OPJ_INT64 temp = (OPJ_INT64) a * (OPJ_INT64) b ;
|
|
|
|
#endif
|
|
|
|
temp += 4096;
|
|
|
|
assert((temp >> 13) <= (OPJ_INT64)0x7FFFFFFF);
|
|
|
|
assert((temp >> 13) >= (-(OPJ_INT64)0x7FFFFFFF - (OPJ_INT64)1));
|
|
|
|
return (OPJ_INT32)(temp >> 13);
|
|
|
|
}
|
|
|
|
|
|
|
|
static INLINE OPJ_INT32 opj_int_fix_mul_t1(OPJ_INT32 a, OPJ_INT32 b)
|
|
|
|
{
|
|
|
|
#if defined(_MSC_VER) && (_MSC_VER >= 1400) && !defined(__INTEL_COMPILER) && defined(_M_IX86)
|
|
|
|
OPJ_INT64 temp = __emul(a, b);
|
|
|
|
#else
|
|
|
|
OPJ_INT64 temp = (OPJ_INT64) a * (OPJ_INT64) b ;
|
|
|
|
#endif
|
|
|
|
temp += 4096;
|
|
|
|
assert((temp >> (13 + 11 - T1_NMSEDEC_FRACBITS)) <= (OPJ_INT64)0x7FFFFFFF);
|
|
|
|
assert((temp >> (13 + 11 - T1_NMSEDEC_FRACBITS)) >= (-(OPJ_INT64)0x7FFFFFFF -
|
|
|
|
(OPJ_INT64)1));
|
|
|
|
return (OPJ_INT32)(temp >> (13 + 11 - T1_NMSEDEC_FRACBITS)) ;
|
|
|
|
}
|
|
|
|
|
2023-05-25 02:02:11 +08:00
|
|
|
/**
|
|
|
|
Addition two signed integers with a wrap-around behaviour.
|
|
|
|
Assumes complement-to-two signed integers.
|
|
|
|
@param a
|
|
|
|
@param b
|
|
|
|
@return Returns a + b
|
|
|
|
*/
|
|
|
|
static INLINE OPJ_INT32 opj_int_add_no_overflow(OPJ_INT32 a, OPJ_INT32 b)
|
|
|
|
{
|
|
|
|
void* pa = &a;
|
|
|
|
void* pb = &b;
|
|
|
|
OPJ_UINT32* upa = (OPJ_UINT32*)pa;
|
|
|
|
OPJ_UINT32* upb = (OPJ_UINT32*)pb;
|
|
|
|
OPJ_UINT32 ures = *upa + *upb;
|
|
|
|
void* pures = &ures;
|
|
|
|
OPJ_INT32* ipres = (OPJ_INT32*)pures;
|
|
|
|
return *ipres;
|
|
|
|
}
|
|
|
|
|
|
|
|
/**
|
|
|
|
Subtract two signed integers with a wrap-around behaviour.
|
|
|
|
Assumes complement-to-two signed integers.
|
|
|
|
@param a
|
|
|
|
@param b
|
|
|
|
@return Returns a - b
|
|
|
|
*/
|
|
|
|
static INLINE OPJ_INT32 opj_int_sub_no_overflow(OPJ_INT32 a, OPJ_INT32 b)
|
|
|
|
{
|
|
|
|
void* pa = &a;
|
|
|
|
void* pb = &b;
|
|
|
|
OPJ_UINT32* upa = (OPJ_UINT32*)pa;
|
|
|
|
OPJ_UINT32* upb = (OPJ_UINT32*)pb;
|
|
|
|
OPJ_UINT32 ures = *upa - *upb;
|
|
|
|
void* pures = &ures;
|
|
|
|
OPJ_INT32* ipres = (OPJ_INT32*)pures;
|
|
|
|
return *ipres;
|
|
|
|
}
|
|
|
|
|
2020-08-25 18:06:09 +08:00
|
|
|
/* ----------------------------------------------------------------------- */
|
|
|
|
/*@}*/
|
|
|
|
|
|
|
|
/*@}*/
|
|
|
|
|
|
|
|
#endif /* OPJ_INTMATH_H */
|