JasPer: jpc_math.h Source File

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jpc_math.h
1/*
2 * Copyright (c) 2001-2002 Michael David Adams.
3 * All rights reserved.
4 */
5
6/* __START_OF_JASPER_LICENSE__
7 *
8 * JasPer License Version 2.0
9 *
10 * Copyright (c) 2001-2006 Michael David Adams
11 * Copyright (c) 1999-2000 Image Power, Inc.
12 * Copyright (c) 1999-2000 The University of British Columbia
13 *
14 * All rights reserved.
15 *
16 * Permission is hereby granted, free of charge, to any person (the
17 * "User") obtaining a copy of this software and associated documentation
18 * files (the "Software"), to deal in the Software without restriction,
19 * including without limitation the rights to use, copy, modify, merge,
20 * publish, distribute, and/or sell copies of the Software, and to permit
21 * persons to whom the Software is furnished to do so, subject to the
22 * following conditions:
23 *
24 * 1. The above copyright notices and this permission notice (which
25 * includes the disclaimer below) shall be included in all copies or
26 * substantial portions of the Software.
27 *
28 * 2. The name of a copyright holder shall not be used to endorse or
29 * promote products derived from the Software without specific prior
30 * written permission.
31 *
32 * THIS DISCLAIMER OF WARRANTY CONSTITUTES AN ESSENTIAL PART OF THIS
33 * LICENSE. NO USE OF THE SOFTWARE IS AUTHORIZED HEREUNDER EXCEPT UNDER
34 * THIS DISCLAIMER. THE SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS
35 * "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING
36 * BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A
37 * PARTICULAR PURPOSE AND NONINFRINGEMENT OF THIRD PARTY RIGHTS. IN NO
38 * EVENT SHALL THE COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, OR ANY SPECIAL
39 * INDIRECT OR CONSEQUENTIAL DAMAGES, OR ANY DAMAGES WHATSOEVER RESULTING
40 * FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN ACTION OF CONTRACT,
41 * NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION
42 * WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. NO ASSURANCES ARE
43 * PROVIDED BY THE COPYRIGHT HOLDERS THAT THE SOFTWARE DOES NOT INFRINGE
44 * THE PATENT OR OTHER INTELLECTUAL PROPERTY RIGHTS OF ANY OTHER ENTITY.
45 * EACH COPYRIGHT HOLDER DISCLAIMS ANY LIABILITY TO THE USER FOR CLAIMS
46 * BROUGHT BY ANY OTHER ENTITY BASED ON INFRINGEMENT OF INTELLECTUAL
47 * PROPERTY RIGHTS OR OTHERWISE. AS A CONDITION TO EXERCISING THE RIGHTS
48 * GRANTED HEREUNDER, EACH USER HEREBY ASSUMES SOLE RESPONSIBILITY TO SECURE
49 * ANY OTHER INTELLECTUAL PROPERTY RIGHTS NEEDED, IF ANY. THE SOFTWARE
50 * IS NOT FAULT-TOLERANT AND IS NOT INTENDED FOR USE IN MISSION-CRITICAL
51 * SYSTEMS, SUCH AS THOSE USED IN THE OPERATION OF NUCLEAR FACILITIES,
52 * AIRCRAFT NAVIGATION OR COMMUNICATION SYSTEMS, AIR TRAFFIC CONTROL
53 * SYSTEMS, DIRECT LIFE SUPPORT MACHINES, OR WEAPONS SYSTEMS, IN WHICH
54 * THE FAILURE OF THE SOFTWARE OR SYSTEM COULD LEAD DIRECTLY TO DEATH,
55 * PERSONAL INJURY, OR SEVERE PHYSICAL OR ENVIRONMENTAL DAMAGE ("HIGH
56 * RISK ACTIVITIES"). THE COPYRIGHT HOLDERS SPECIFICALLY DISCLAIM ANY
57 * EXPRESS OR IMPLIED WARRANTY OF FITNESS FOR HIGH RISK ACTIVITIES.
58 *
59 * __END_OF_JASPER_LICENSE__
60 */
61
62#ifndef JPC_MATH_H
63#define JPC_MATH_H
64
65/******************************************************************************\
66* Includes
67\******************************************************************************/
68
69#include "jasper/jas_config.h"
70
71#include "jpc_fix.h"
72
73/******************************************************************************\
74* Macros
75\******************************************************************************/
76
77/* Compute the floor of the quotient of two integers. */
78#define JPC_FLOORDIV(x, y) ((x) / (y))
79
80/* Compute the ceiling of the quotient of two integers. */
81#define JPC_CEILDIV(x, y) (((x) + (y) - 1) / (y))
82
83/* Compute the floor of (x / 2^y). */
84#define JPC_FLOORDIVPOW2(x, y) ((x) >> (y))
85
86/* Compute the ceiling of (x / 2^y). */
87#define JPC_CEILDIVPOW2(x, y) (((x) + (1 << (y)) - 1) >> (y))
88
89/******************************************************************************\
90* Functions.
91\******************************************************************************/
92
93/* Calculate the bit position of the first leading one in a nonnegative
94 integer. */
95JAS_ATTRIBUTE_CONST
96int jpc_int_firstone(int x);
97
98JAS_ATTRIBUTE_CONST
99int jpc_fix_firstone(jpc_fix_t x);
100
101/* Calculate the integer quantity floor(log2(x)), where x is a positive
102 integer. */
103JAS_ATTRIBUTE_CONST
104unsigned jpc_floorlog2(uint_fast32_t x);
105
106#endif