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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__
- */
-
-/*
- * Fixed-Point Number Class
- *
- * $Id$
- */
-
-#ifndef JAS_FIX_H
-#define JAS_FIX_H
-
-/******************************************************************************\
-* Includes.
-\******************************************************************************/
-
-#include <stdio.h>
-#include <stdlib.h>
-#include <math.h>
-
-#include <jasper/jas_config.h>
-#include <jasper/jas_types.h>
-
-#ifdef __cplusplus
-extern "C" {
-#endif
-
-/******************************************************************************\
-* Constants.
-\******************************************************************************/
-
-/* The representation of the value zero. */
-#define JAS_FIX_ZERO(fix_t, fracbits) \
- JAS_CAST(fix_t, 0)
-
-/* The representation of the value one. */
-#define JAS_FIX_ONE(fix_t, fracbits) \
- (JAS_CAST(fix_t, 1) << (fracbits))
-
-/* The representation of the value one half. */
-#define JAS_FIX_HALF(fix_t, fracbits) \
- (JAS_CAST(fix_t, 1) << ((fracbits) - 1))
-
-/******************************************************************************\
-* Conversion operations.
-\******************************************************************************/
-
-/* Convert an int to a fixed-point number. */
-#define JAS_INTTOFIX(fix_t, fracbits, x) \
- JAS_CAST(fix_t, (x) << (fracbits))
-
-/* Convert a fixed-point number to an int. */
-#define JAS_FIXTOINT(fix_t, fracbits, x) \
- JAS_CAST(int, (x) >> (fracbits))
-
-/* Convert a fixed-point number to a double. */
-#define JAS_FIXTODBL(fix_t, fracbits, x) \
- (JAS_CAST(double, x) / (JAS_CAST(fix_t, 1) << (fracbits)))
-
-/* Convert a double to a fixed-point number. */
-#define JAS_DBLTOFIX(fix_t, fracbits, x) \
- JAS_CAST(fix_t, ((x) * JAS_CAST(double, JAS_CAST(fix_t, 1) << (fracbits))))
-
-/******************************************************************************\
-* Basic arithmetic operations.
-* All other arithmetic operations are synthesized from these basic operations.
-* There are three macros for each type of arithmetic operation.
-* One macro always performs overflow/underflow checking, one never performs
-* overflow/underflow checking, and one is generic with its behavior
-* depending on compile-time flags.
-* Only the generic macros should be invoked directly by application code.
-\******************************************************************************/
-
-/* Calculate the sum of two fixed-point numbers. */
-#if !defined(DEBUG_OVERFLOW)
-#define JAS_FIX_ADD JAS_FIX_ADD_FAST
-#else
-#define JAS_FIX_ADD JAS_FIX_ADD_OFLOW
-#endif
-
-/* Calculate the sum of two fixed-point numbers without overflow checking. */
-#define JAS_FIX_ADD_FAST(fix_t, fracbits, x, y) ((x) + (y))
-
-/* Calculate the sum of two fixed-point numbers with overflow checking. */
-#define JAS_FIX_ADD_OFLOW(fix_t, fracbits, x, y) \
- ((x) >= 0) ? \
- (((y) >= 0) ? ((x) + (y) >= 0 || JAS_FIX_OFLOW(), (x) + (y)) : \
- ((x) + (y))) : \
- (((y) >= 0) ? ((x) + (y)) : ((x) + (y) < 0 || JAS_FIX_OFLOW(), \
- (x) + (y)))
-
-/* Calculate the product of two fixed-point numbers. */
-#if !defined(DEBUG_OVERFLOW)
-#define JAS_FIX_MUL JAS_FIX_MUL_FAST
-#else
-#define JAS_FIX_MUL JAS_FIX_MUL_OFLOW
-#endif
-
-/* Calculate the product of two fixed-point numbers without overflow
- checking. */
-#define JAS_FIX_MUL_FAST(fix_t, fracbits, bigfix_t, x, y) \
- JAS_CAST(fix_t, (JAS_CAST(bigfix_t, x) * JAS_CAST(bigfix_t, y)) >> \
- (fracbits))
-
-/* Calculate the product of two fixed-point numbers with overflow
- checking. */
-#define JAS_FIX_MUL_OFLOW(fix_t, fracbits, bigfix_t, x, y) \
- ((JAS_CAST(bigfix_t, x) * JAS_CAST(bigfix_t, y) >> (fracbits)) == \
- JAS_CAST(fix_t, (JAS_CAST(bigfix_t, x) * JAS_CAST(bigfix_t, y) >> \
- (fracbits))) ? \
- JAS_CAST(fix_t, (JAS_CAST(bigfix_t, x) * JAS_CAST(bigfix_t, y) >> \
- (fracbits))) : JAS_FIX_OFLOW())
-
-/* Calculate the product of a fixed-point number and an int. */
-#if !defined(DEBUG_OVERFLOW)
-#define JAS_FIX_MULBYINT JAS_FIX_MULBYINT_FAST
-#else
-#define JAS_FIX_MULBYINT JAS_FIX_MULBYINT_OFLOW
-#endif
-
-/* Calculate the product of a fixed-point number and an int without overflow
- checking. */
-#define JAS_FIX_MULBYINT_FAST(fix_t, fracbits, x, y) \
- JAS_CAST(fix_t, ((x) * (y)))
-
-/* Calculate the product of a fixed-point number and an int with overflow
- checking. */
-#define JAS_FIX_MULBYINT_OFLOW(fix_t, fracbits, x, y) \
- JAS_FIX_MULBYINT_FAST(fix_t, fracbits, x, y)
-
-/* Calculate the quotient of two fixed-point numbers. */
-#if !defined(DEBUG_OVERFLOW)
-#define JAS_FIX_DIV JAS_FIX_DIV_FAST
-#else
-#define JAS_FIX_DIV JAS_FIX_DIV_UFLOW
-#endif
-
-/* Calculate the quotient of two fixed-point numbers without underflow
- checking. */
-#define JAS_FIX_DIV_FAST(fix_t, fracbits, bigfix_t, x, y) \
- JAS_CAST(fix_t, (JAS_CAST(bigfix_t, x) << (fracbits)) / (y))
-
-/* Calculate the quotient of two fixed-point numbers with underflow
- checking. */
-#define JAS_FIX_DIV_UFLOW(fix_t, fracbits, bigfix_t, x, y) \
- JAS_FIX_DIV_FAST(fix_t, fracbits, bigfix_t, x, y)
-
-/* Negate a fixed-point number. */
-#if !defined(DEBUG_OVERFLOW)
-#define JAS_FIX_NEG JAS_FIX_NEG_FAST
-#else
-#define JAS_FIX_NEG JAS_FIX_NEG_OFLOW
-#endif
-
-/* Negate a fixed-point number without overflow checking. */
-#define JAS_FIX_NEG_FAST(fix_t, fracbits, x) \
- (-(x))
-
-/* Negate a fixed-point number with overflow checking. */
-/* Yes, overflow is actually possible for two's complement representations,
- although highly unlikely to occur. */
-#define JAS_FIX_NEG_OFLOW(fix_t, fracbits, x) \
- (((x) < 0) ? (-(x) > 0 || JAS_FIX_OFLOW(), -(x)) : (-(x)))
-
-/* Perform an arithmetic shift left of a fixed-point number. */
-#if !defined(DEBUG_OVERFLOW)
-#define JAS_FIX_ASL JAS_FIX_ASL_FAST
-#else
-#define JAS_FIX_ASL JAS_FIX_ASL_OFLOW
-#endif
-
-/* Perform an arithmetic shift left of a fixed-point number without overflow
- checking. */
-#define JAS_FIX_ASL_FAST(fix_t, fracbits, x, n) \
- ((x) << (n))
-
-/* Perform an arithmetic shift left of a fixed-point number with overflow
- checking. */
-#define JAS_FIX_ASL_OFLOW(fix_t, fracbits, x, n) \
- ((((x) << (n)) >> (n)) == (x) || JAS_FIX_OFLOW(), (x) << (n))
-
-/* Perform an arithmetic shift right of a fixed-point number. */
-#if !defined(DEBUG_OVERFLOW)
-#define JAS_FIX_ASR JAS_FIX_ASR_FAST
-#else
-#define JAS_FIX_ASR JAS_FIX_ASR_UFLOW
-#endif
-
-/* Perform an arithmetic shift right of a fixed-point number without underflow
- checking. */
-#define JAS_FIX_ASR_FAST(fix_t, fracbits, x, n) \
- ((x) >> (n))
-
-/* Perform an arithmetic shift right of a fixed-point number with underflow
- checking. */
-#define JAS_FIX_ASR_UFLOW(fix_t, fracbits, x, n) \
- JAS_FIX_ASR_FAST(fix_t, fracbits, x, n)
-
-/******************************************************************************\
-* Other basic arithmetic operations.
-\******************************************************************************/
-
-/* Calculate the difference between two fixed-point numbers. */
-#define JAS_FIX_SUB(fix_t, fracbits, x, y) \
- JAS_FIX_ADD(fix_t, fracbits, x, JAS_FIX_NEG(fix_t, fracbits, y))
-
-/* Add one fixed-point number to another. */
-#define JAS_FIX_PLUSEQ(fix_t, fracbits, x, y) \
- ((x) = JAS_FIX_ADD(fix_t, fracbits, x, y))
-
-/* Subtract one fixed-point number from another. */
-#define JAS_FIX_MINUSEQ(fix_t, fracbits, x, y) \
- ((x) = JAS_FIX_SUB(fix_t, fracbits, x, y))
-
-/* Multiply one fixed-point number by another. */
-#define JAS_FIX_MULEQ(fix_t, fracbits, bigfix_t, x, y) \
- ((x) = JAS_FIX_MUL(fix_t, fracbits, bigfix_t, x, y))
-
-/******************************************************************************\
-* Miscellaneous operations.
-\******************************************************************************/
-
-/* Calculate the absolute value of a fixed-point number. */
-#define JAS_FIX_ABS(fix_t, fracbits, x) \
- (((x) >= 0) ? (x) : (JAS_FIX_NEG(fix_t, fracbits, x)))
-
-/* Is a fixed-point number an integer? */
-#define JAS_FIX_ISINT(fix_t, fracbits, x) \
- (JAS_FIX_FLOOR(fix_t, fracbits, x) == (x))
-
-/* Get the sign of a fixed-point number. */
-#define JAS_FIX_SGN(fix_t, fracbits, x) \
- ((x) >= 0 ? 1 : (-1))
-
-/******************************************************************************\
-* Relational operations.
-\******************************************************************************/
-
-/* Compare two fixed-point numbers. */
-#define JAS_FIX_CMP(fix_t, fracbits, x, y) \
- ((x) > (y) ? 1 : (((x) == (y)) ? 0 : (-1)))
-
-/* Less than. */
-#define JAS_FIX_LT(fix_t, fracbits, x, y) \
- ((x) < (y))
-
-/* Less than or equal. */
-#define JAS_FIX_LTE(fix_t, fracbits, x, y) \
- ((x) <= (y))
-
-/* Greater than. */
-#define JAS_FIX_GT(fix_t, fracbits, x, y) \
- ((x) > (y))
-
-/* Greater than or equal. */
-#define JAS_FIX_GTE(fix_t, fracbits, x, y) \
- ((x) >= (y))
-
-/******************************************************************************\
-* Rounding functions.
-\******************************************************************************/
-
-/* Round a fixed-point number to the nearest integer. */
-#define JAS_FIX_ROUND(fix_t, fracbits, x) \
- (((x) < 0) ? JAS_FIX_FLOOR(fix_t, fracbits, JAS_FIX_ADD(fix_t, fracbits, \
- (x), JAS_FIX_HALF(fix_t, fracbits))) : \
- JAS_FIX_NEG(fix_t, fracbits, JAS_FIX_FLOOR(fix_t, fracbits, \
- JAS_FIX_ADD(fix_t, fracbits, (-(x)), JAS_FIX_HALF(fix_t, fracbits)))))
-
-/* Round a fixed-point number to the nearest integer in the direction of
- negative infinity (i.e., the floor function). */
-#define JAS_FIX_FLOOR(fix_t, fracbits, x) \
- ((x) & (~((JAS_CAST(fix_t, 1) << (fracbits)) - 1)))
-
-/* Round a fixed-point number to the nearest integer in the direction
- of zero. */
-#define JAS_FIX_TRUNC(fix_t, fracbits, x) \
- (((x) >= 0) ? JAS_FIX_FLOOR(fix_t, fracbits, x) : \
- JAS_FIX_CEIL(fix_t, fracbits, x))
-
-/******************************************************************************\
-* The below macros are for internal library use only. Do not invoke them
-* directly in application code.
-\******************************************************************************/
-
-/* Handle overflow. */
-#define JAS_FIX_OFLOW() \
- jas_eprintf("overflow error: file %s, line %d\n", __FILE__, __LINE__)
-
-/* Handle underflow. */
-#define JAS_FIX_UFLOW() \
- jas_eprintf("underflow error: file %s, line %d\n", __FILE__, __LINE__)
-
-#ifdef __cplusplus
-}
-#endif
-
-#endif