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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