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jas_fix.h
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1/*
2 * Copyright (c) 1999-2000 Image Power, Inc. and the University of
3 * British Columbia.
4 * Copyright (c) 2001-2002 Michael David Adams.
5 * All rights reserved.
6 */
7
8/* __START_OF_JASPER_LICENSE__
9 *
10 * JasPer License Version 2.0
11 *
12 * Copyright (c) 2001-2006 Michael David Adams
13 * Copyright (c) 1999-2000 Image Power, Inc.
14 * Copyright (c) 1999-2000 The University of British Columbia
15 *
16 * All rights reserved.
17 *
18 * Permission is hereby granted, free of charge, to any person (the
19 * "User") obtaining a copy of this software and associated documentation
20 * files (the "Software"), to deal in the Software without restriction,
21 * including without limitation the rights to use, copy, modify, merge,
22 * publish, distribute, and/or sell copies of the Software, and to permit
23 * persons to whom the Software is furnished to do so, subject to the
24 * following conditions:
25 *
26 * 1. The above copyright notices and this permission notice (which
27 * includes the disclaimer below) shall be included in all copies or
28 * substantial portions of the Software.
29 *
30 * 2. The name of a copyright holder shall not be used to endorse or
31 * promote products derived from the Software without specific prior
32 * written permission.
33 *
34 * THIS DISCLAIMER OF WARRANTY CONSTITUTES AN ESSENTIAL PART OF THIS
35 * LICENSE. NO USE OF THE SOFTWARE IS AUTHORIZED HEREUNDER EXCEPT UNDER
36 * THIS DISCLAIMER. THE SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS
37 * "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING
38 * BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A
39 * PARTICULAR PURPOSE AND NONINFRINGEMENT OF THIRD PARTY RIGHTS. IN NO
40 * EVENT SHALL THE COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, OR ANY SPECIAL
41 * INDIRECT OR CONSEQUENTIAL DAMAGES, OR ANY DAMAGES WHATSOEVER RESULTING
42 * FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN ACTION OF CONTRACT,
43 * NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION
44 * WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. NO ASSURANCES ARE
45 * PROVIDED BY THE COPYRIGHT HOLDERS THAT THE SOFTWARE DOES NOT INFRINGE
46 * THE PATENT OR OTHER INTELLECTUAL PROPERTY RIGHTS OF ANY OTHER ENTITY.
47 * EACH COPYRIGHT HOLDER DISCLAIMS ANY LIABILITY TO THE USER FOR CLAIMS
48 * BROUGHT BY ANY OTHER ENTITY BASED ON INFRINGEMENT OF INTELLECTUAL
49 * PROPERTY RIGHTS OR OTHERWISE. AS A CONDITION TO EXERCISING THE RIGHTS
50 * GRANTED HEREUNDER, EACH USER HEREBY ASSUMES SOLE RESPONSIBILITY TO SECURE
51 * ANY OTHER INTELLECTUAL PROPERTY RIGHTS NEEDED, IF ANY. THE SOFTWARE
52 * IS NOT FAULT-TOLERANT AND IS NOT INTENDED FOR USE IN MISSION-CRITICAL
53 * SYSTEMS, SUCH AS THOSE USED IN THE OPERATION OF NUCLEAR FACILITIES,
54 * AIRCRAFT NAVIGATION OR COMMUNICATION SYSTEMS, AIR TRAFFIC CONTROL
55 * SYSTEMS, DIRECT LIFE SUPPORT MACHINES, OR WEAPONS SYSTEMS, IN WHICH
56 * THE FAILURE OF THE SOFTWARE OR SYSTEM COULD LEAD DIRECTLY TO DEATH,
57 * PERSONAL INJURY, OR SEVERE PHYSICAL OR ENVIRONMENTAL DAMAGE ("HIGH
58 * RISK ACTIVITIES"). THE COPYRIGHT HOLDERS SPECIFICALLY DISCLAIM ANY
59 * EXPRESS OR IMPLIED WARRANTY OF FITNESS FOR HIGH RISK ACTIVITIES.
60 *
61 * __END_OF_JASPER_LICENSE__
62 */
63
68
69#ifndef JAS_FIX_H
70#define JAS_FIX_H
71
72/******************************************************************************\
73* Includes.
74\******************************************************************************/
75
76/* The configuration header file should be included first. */
77#include <jasper/jas_config.h> /* IWYU pragma: keep */
78
79#include <jasper/jas_types.h>
80
81#ifdef __cplusplus
82 extern "C" {
83#endif
84
89
90/******************************************************************************\
91* Types.
92\******************************************************************************/
93
97#if defined(JAS_ENABLE_32BIT)
98 typedef int_least32_t jas_fix_t;
99#define PRIjas_fix PRIiLEAST32
100#else
101 typedef int_least64_t jas_fix_t;
102#define PRIjas_fix PRIiLEAST64
103#endif
104
105/*
106 Integral type used for double-precision fixed-point representations.
107*/
108#if defined(JAS_ENABLE_32BIT)
109 typedef int_least64_t jas_fix_big_t;
110#else
111#if defined(JAS_HAVE_INT128_T)
112 typedef __int128_t jas_fix_big_t;
113#else
114 typedef int_least64_t jas_fix_big_t;
115#endif
116#endif
117
118/******************************************************************************\
119* Constants.
120\******************************************************************************/
121
123#define JAS_FIX_ZERO(fix_t, fracbits) \
124 JAS_INTTOFIX(fix_t, fracbits, 0)
125
127#define JAS_FIX_ONE(fix_t, fracbits) \
128 JAS_INTTOFIX(fix_t, fracbits, 1)
129
131#define JAS_FIX_HALF(fix_t, fracbits) \
132 (JAS_CAST(fix_t, 1) << ((fracbits) - 1))
133
134/******************************************************************************\
135* Conversion operations.
136\******************************************************************************/
137
139#define JAS_INTTOFIX(fix_t, fracbits, x) \
140 (JAS_CAST(fix_t, x) << (fracbits))
141
143#define JAS_FIXTOINT(fix_t, fracbits, x) \
144 JAS_CAST(int, (x) >> (fracbits))
145
147#define JAS_FIXTODBL(fix_t, fracbits, x) \
148 (JAS_CAST(double, x) / JAS_FIX_ONE(fix_t, fracbits))
149
151#define JAS_DBLTOFIX(fix_t, fracbits, x) \
152 JAS_CAST(fix_t, ((x) * JAS_CAST(double, JAS_FIX_ONE(fix_t, fracbits))))
153
154/******************************************************************************\
155* Basic arithmetic operations.
156* All other arithmetic operations are synthesized from these basic operations.
157* There are three macros for each type of arithmetic operation.
158* One macro always performs overflow/underflow checking, one never performs
159* overflow/underflow checking, and one is generic with its behavior
160* depending on compile-time flags.
161* Only the generic macros should be invoked directly by application code.
162\******************************************************************************/
163
165#if !defined(DEBUG_OVERFLOW)
166#define JAS_FIX_ADD JAS_FIX_ADD_FAST
167#else
168#define JAS_FIX_ADD JAS_FIX_ADD_OFLOW
169#endif
170
172#define JAS_FIX_ADD_FAST(fix_t, fracbits, x, y) ((x) + (y))
173
175#define JAS_FIX_ADD_OFLOW(fix_t, fracbits, x, y) \
176 ((x) >= 0) ? \
177 (((y) >= 0) ? ((x) + (y) >= 0 || JAS_FIX_OFLOW(), (x) + (y)) : \
178 ((x) + (y))) : \
179 (((y) >= 0) ? ((x) + (y)) : ((x) + (y) < 0 || JAS_FIX_OFLOW(), \
180 (x) + (y)))
181
183#if !defined(DEBUG_OVERFLOW)
184#define JAS_FIX_MUL JAS_FIX_MUL_FAST
185#else
186#define JAS_FIX_MUL JAS_FIX_MUL_OFLOW
187#endif
188
191#define JAS_FIX_MUL_FAST(fix_t, fracbits, bigfix_t, x, y) \
192 JAS_CAST(fix_t, (JAS_CAST(bigfix_t, x) * JAS_CAST(bigfix_t, y)) >> \
193 (fracbits))
194
197#define JAS_FIX_MUL_OFLOW(fix_t, fracbits, bigfix_t, x, y) \
198 ((JAS_CAST(bigfix_t, x) * JAS_CAST(bigfix_t, y) >> (fracbits)) == \
199 JAS_CAST(fix_t, (JAS_CAST(bigfix_t, x) * JAS_CAST(bigfix_t, y) >> \
200 (fracbits))) ? \
201 JAS_CAST(fix_t, (JAS_CAST(bigfix_t, x) * JAS_CAST(bigfix_t, y) >> \
202 (fracbits))) : JAS_FIX_OFLOW())
203
205#if !defined(DEBUG_OVERFLOW)
206#define JAS_FIX_MULBYINT JAS_FIX_MULBYINT_FAST
207#else
208#define JAS_FIX_MULBYINT JAS_FIX_MULBYINT_OFLOW
209#endif
210
213#define JAS_FIX_MULBYINT_FAST(fix_t, fracbits, x, y) \
214 JAS_CAST(fix_t, ((x) * (y)))
215
218#define JAS_FIX_MULBYINT_OFLOW(fix_t, fracbits, x, y) \
219 JAS_FIX_MULBYINT_FAST(fix_t, fracbits, x, y)
220
222#if !defined(DEBUG_OVERFLOW)
223#define JAS_FIX_DIV JAS_FIX_DIV_FAST
224#else
225#define JAS_FIX_DIV JAS_FIX_DIV_UFLOW
226#endif
227
230#define JAS_FIX_DIV_FAST(fix_t, fracbits, bigfix_t, x, y) \
231 JAS_CAST(fix_t, (JAS_CAST(bigfix_t, x) << (fracbits)) / (y))
232
235#define JAS_FIX_DIV_UFLOW(fix_t, fracbits, bigfix_t, x, y) \
236 JAS_FIX_DIV_FAST(fix_t, fracbits, bigfix_t, x, y)
237
239#if !defined(DEBUG_OVERFLOW)
240#define JAS_FIX_NEG JAS_FIX_NEG_FAST
241#else
242#define JAS_FIX_NEG JAS_FIX_NEG_OFLOW
243#endif
244
246#define JAS_FIX_NEG_FAST(fix_t, fracbits, x) \
247 (-(x))
248
250/* Yes, overflow is actually possible for two's complement representations,
251 although highly unlikely to occur. */
252#define JAS_FIX_NEG_OFLOW(fix_t, fracbits, x) \
253 (((x) < 0) ? (-(x) > 0 || JAS_FIX_OFLOW(), -(x)) : (-(x)))
254
256#if !defined(DEBUG_OVERFLOW)
257#define JAS_FIX_ASL JAS_FIX_ASL_FAST
258#else
259#define JAS_FIX_ASL JAS_FIX_ASL_OFLOW
260#endif
261
264#define JAS_FIX_ASL_FAST(fix_t, fracbits, x, n) \
265 ((x) << (n))
266
269#define JAS_FIX_ASL_OFLOW(fix_t, fracbits, x, n) \
270 ((((x) << (n)) >> (n)) == (x) || JAS_FIX_OFLOW(), (x) << (n))
271
273#if !defined(DEBUG_OVERFLOW)
274#define JAS_FIX_ASR JAS_FIX_ASR_FAST
275#else
276#define JAS_FIX_ASR JAS_FIX_ASR_UFLOW
277#endif
278
281#define JAS_FIX_ASR_FAST(fix_t, fracbits, x, n) \
282 ((x) >> (n))
283
286#define JAS_FIX_ASR_UFLOW(fix_t, fracbits, x, n) \
287 JAS_FIX_ASR_FAST(fix_t, fracbits, x, n)
288
289/******************************************************************************\
290* Other basic arithmetic operations.
291\******************************************************************************/
292
294#define JAS_FIX_SUB(fix_t, fracbits, x, y) \
295 JAS_FIX_ADD(fix_t, fracbits, x, JAS_FIX_NEG(fix_t, fracbits, y))
296
298#define JAS_FIX_PLUSEQ(fix_t, fracbits, x, y) \
299 ((x) = JAS_FIX_ADD(fix_t, fracbits, x, y))
300
302#define JAS_FIX_MINUSEQ(fix_t, fracbits, x, y) \
303 ((x) = JAS_FIX_SUB(fix_t, fracbits, x, y))
304
306#define JAS_FIX_MULEQ(fix_t, fracbits, bigfix_t, x, y) \
307 ((x) = JAS_FIX_MUL(fix_t, fracbits, bigfix_t, x, y))
308
309/******************************************************************************\
310* Miscellaneous operations.
311\******************************************************************************/
312
314#define JAS_FIX_ABS(fix_t, fracbits, x) \
315 (((x) >= 0) ? (x) : (JAS_FIX_NEG(fix_t, fracbits, x)))
316
318#define JAS_FIX_ISINT(fix_t, fracbits, x) \
319 (JAS_FIX_FLOOR(fix_t, fracbits, x) == (x))
320
322#define JAS_FIX_SGN(fix_t, fracbits, x) \
323 ((x) >= 0 ? 1 : (-1))
324
325/******************************************************************************\
326* Relational operations.
327\******************************************************************************/
328
330#define JAS_FIX_CMP(fix_t, fracbits, x, y) \
331 ((x) > (y) ? 1 : (((x) == (y)) ? 0 : (-1)))
332
334#define JAS_FIX_LT(fix_t, fracbits, x, y) \
335 ((x) < (y))
336
338#define JAS_FIX_LTE(fix_t, fracbits, x, y) \
339 ((x) <= (y))
340
342#define JAS_FIX_GT(fix_t, fracbits, x, y) \
343 ((x) > (y))
344
346#define JAS_FIX_GTE(fix_t, fracbits, x, y) \
347 ((x) >= (y))
348
349/******************************************************************************\
350* Rounding functions.
351\******************************************************************************/
352
354#define JAS_FIX_ROUND(fix_t, fracbits, x) \
355 (((x) < 0) ? JAS_FIX_FLOOR(fix_t, fracbits, JAS_FIX_ADD(fix_t, fracbits, \
356 (x), JAS_FIX_HALF(fix_t, fracbits))) : \
357 JAS_FIX_NEG(fix_t, fracbits, JAS_FIX_FLOOR(fix_t, fracbits, \
358 JAS_FIX_ADD(fix_t, fracbits, (-(x)), JAS_FIX_HALF(fix_t, fracbits)))))
359
362#define JAS_FIX_FLOOR(fix_t, fracbits, x) \
363 ((x) & (~(JAS_FIX_ONE(fix_t, fracbits) - 1)))
364
365/******************************************************************************\
366* The below macros are for internal library use only. Do not invoke them
367* directly in application code.
368\******************************************************************************/
369
370/* Handle overflow. */
371#define JAS_FIX_OFLOW() \
372 jas_logerrorf("overflow error: file %s, line %d\n", __FILE__, __LINE__)
373
374/* Handle underflow. */
375#define JAS_FIX_UFLOW() \
376 jas_logerrorf("underflow error: file %s, line %d\n", __FILE__, __LINE__)
377
378/******************************************************************************\
379*
380\******************************************************************************/
381
382JAS_ATTRIBUTE_DISABLE_UBSAN
383 static inline jas_fix_t jas_fix_asl(jas_fix_t x, unsigned n)
384{
385 return JAS_FIX_ASL(jas_fix_t, 0, x, n);
386}
387
388JAS_ATTRIBUTE_DISABLE_UBSAN
389 static inline jas_fix_t jas_fix_asr(jas_fix_t x, unsigned n)
390{
391 return JAS_FIX_ASR(jas_fix_t, 0, x, n);
392}
393
397
398#ifdef __cplusplus
399}
400#endif
401
402#endif
JAS_FIX_ASL
#define JAS_FIX_ASL
Definition jas_fix.h:257
jas_fix_t
int_least64_t jas_fix_t
Definition jas_fix.h:101
JAS_FIX_ASR
#define JAS_FIX_ASR
Definition jas_fix.h:274
jas_types.h
Primitive Types.