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// Copyright 2002, 2004 David Hilvert <dhilvert@auricle.dyndns.org>,
// <dhilvert@ugcs.caltech.edu>
/* This file is part of the Anti-Lamenessing Engine.
The Anti-Lamenessing Engine is free software; you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation; either version 3 of the License, or
(at your option) any later version.
The Anti-Lamenessing Engine is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with the Anti-Lamenessing Engine; if not, write to the Free Software
Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
*/
#ifndef __ale_real_h__
#define __ale_real_h__
#include "ale_fixed.h"
#define SINGLE 1
#define DOUBLE 2
#define HALF 3
#define FIXED32 4
#define FIXED16 5
#define ale_real_enable_casting()
#define ale_real_disable_casting()
#define ale_real_unexceptional_negation(VALUE) -(VALUE)
#define ale_real_from_int(INT_VALUE, MAXVAL) (((float) (INT_VALUE)) / ((float) (MAXVAL)))
#define ale_real_to_int(REAL_VALUE, MAXVAL) round((float) (REAL_VALUE) * (MAXVAL))
#define ale_real_weight_floor 0.0001
/*
* Real-valued type used to represent the range of an image (colors, weights,
* etc.).
*
* ale_real is used in computation.
* ale_sreal is used for storage.
*/
#if ALE_COLORS == SINGLE
typedef float ale_real;
typedef float ale_sreal;
#define ale_real_ip_weight_floor 1e-10
#define ale_real_confidence_floor 0.001
#define ALE_REAL_PRECISION_STRING "SINGLE"
#elif ALE_COLORS == DOUBLE
typedef double ale_real;
typedef double ale_sreal;
#define ale_real_ip_weight_floor 1e-10
#define ale_real_confidence_floor 0.000001
#define ALE_REAL_PRECISION_STRING "DOUBLE"
#elif ALE_COLORS == HALF
/*
* What follows is one approach to packing a floating point
* number into 16 bits. This implementation is very slow.
*/
#define MANTISSA_BITS (9)
#define EXP_BITS (15 - MANTISSA_BITS)
#define EXP_SPECIAL (1 << (EXP_BITS - 1))
#define EXP_MAX (EXP_SPECIAL - 1)
#define EXP_MIN (-EXP_MAX)
typedef float ale_real;
class ale_sreal {
union {
uint16_t bits;
struct {
uint16_t sign:1;
uint16_t mant:MANTISSA_BITS;
int16_t exp :EXP_BITS;
} fpr;
} u;
public:
ale_sreal() {
u.bits = 0;
}
ale_sreal operator=(float v) {
if (v == 0) {
u.bits = 0;
} else if (isnan(v)) {
u.fpr.exp = EXP_SPECIAL;
u.fpr.mant = 1;
} else {
if (v > 0)
u.fpr.sign = 0;
else if (v < 0) {
u.fpr.sign = 1;
v = -v;
} else
assert(0);
/*
* Get the exponent.
*/
int log2 = (int) floor (log(v) / log(2));
/*
* Test the exponent against the largest expressible
* exponent for ale_sreal.
*/
if (log2 > EXP_MAX) {
/*
* Infinity
*/
u.fpr.exp = EXP_SPECIAL;
u.fpr.mant = 0;
return *this;
}
/*
* Test the exponent against the smallest expressible
* exponent for ale_sreal.
*/
if (log2 < EXP_MIN) {
/*
* Zero
*/
u.fpr.exp = 0x0;
u.fpr.mant = 0;
return *this;
}
/*
* The exponent is in range, so use it.
*/
u.fpr.exp = log2;
u.fpr.mant = (uint16_t) floor(v / pow(2, log2) * (1 << (MANTISSA_BITS - 1)));
}
return *this;
}
operator float() const {
float result = 3.14159;
if (((uint16_t) u.fpr.exp == EXP_SPECIAL) && (u.fpr.mant == 1)) {
/*
* NaN
*/
float a = 0;
float b = 0;
result = a / b;
} else if (((uint16_t) u.fpr.exp == EXP_SPECIAL) && (u.fpr.mant == 0)) {
/*
* Infinity
*/
float a = 1;
float b = 0;
result = (a / b);
} else if ((uint16_t) u.fpr.exp != EXP_SPECIAL) {
/*
* Value is finite.
*/
result = u.fpr.mant / ((double) (1 << (MANTISSA_BITS - 1)))
* pow(2, u.fpr.exp);
} else
assert(0);
if (u.fpr.sign)
result = -result;
return result;
}
ale_sreal operator-=(float r) {
*this = (float) *this - (float) r;
return *this;
}
ale_sreal operator/=(float r) {
*this = (float) *this / (float) r;
return *this;
}
ale_sreal operator*=(float r) {
*this = (float) *this * (float) r;
return *this;
}
ale_sreal operator+=(float r) {
*this = (float) *this + (float) r;
return *this;
}
};
#undef MANTISSA_BITS
#undef EXP_BITS
#undef EXP_SPECIAL
#undef EXP_MAX
#undef EXP_MIN
#define ALE_REAL_PRECISION_STRING "HALF"
#elif ALE_COLORS == FIXED32
typedef ale_fixed<ale_fixed_32,16> ale_real;
typedef ale_fixed<ale_fixed_32,16> ale_sreal;
#undef ale_real_enable_casting
#undef ale_real_disable_casting
#define ale_real_enable_casting() ale_real::enable_casting()
#define ale_real_disable_casting() ale_real::disable_casting()
#undef ale_real_unexceptional_negation
#define ale_real_unexceptional_negation(VALUE) (VALUE).unexceptional_negation();
#undef ale_real_to_int
#undef ale_real_from_int
#define ale_real_to_int(REAL_VALUE, MAXVAL) ( (MAXVAL == 255) \
? (int) ale_fixed<ale_fixed_16_calc,8>::fixed_to_bits(REAL_VALUE) \
: ( (MAXVAL == 65535) \
? (int) ale_fixed<ale_fixed_16_calc,16>::fixed_to_bits(REAL_VALUE) \
: (int) round((float) (REAL_VALUE) * (MAXVAL)) ) )
#define ale_real_from_int(INT_VALUE, MAXVAL) ( (MAXVAL == 255) \
? (ale_real) ale_fixed<ale_fixed_16_calc,8>::bits_to_fixed(INT_VALUE) \
: ( (MAXVAL == 65535) \
? (ale_real) ale_fixed<ale_fixed_16_calc,16>::bits_to_fixed(INT_VALUE) \
: (ale_real) (((float) (INT_VALUE)) / ((float) (MAXVAL))) ) )
#define ale_real_ip_weight_floor (1 / (ale_real) 100)
#define ale_real_confidence_floor (1 / (ale_real) 10)
#define ALE_REAL_PRECISION_STRING "FIXED32"
#elif ALE_COLORS == FIXED16
typedef ale_fixed<ale_fixed_16_calc,14> ale_real;
typedef ale_fixed<ale_fixed_16,12> ale_sreal;
#undef ale_real_enable_casting
#undef ale_real_disable_casting
#define ale_real_enable_casting() ale_real::enable_casting()
#define ale_real_disable_casting() ale_real::disable_casting()
#undef ale_real_unexceptional_negation
#define ale_real_unexceptional_negation(VALUE) (VALUE).unexceptional_negation();
#undef ale_real_to_int
#undef ale_real_from_int
#define ale_real_to_int(REAL_VALUE, MAXVAL) ( (MAXVAL == 255) \
? (int) ale_fixed<ale_fixed_16_calc,8>::fixed_to_bits(REAL_VALUE) \
: ( (MAXVAL == 65535) \
? (int) ale_fixed<ale_fixed_16_calc,16>::fixed_to_bits(REAL_VALUE) \
: (int) round((float) (REAL_VALUE) * (MAXVAL)) ) )
#define ale_real_from_int(INT_VALUE, MAXVAL) ( (MAXVAL == 255) \
? (ale_real) ale_fixed<ale_fixed_16_calc,8>::bits_to_fixed(INT_VALUE) \
: ( (MAXVAL == 65535) \
? (ale_real) ale_fixed<ale_fixed_16_calc,16>::bits_to_fixed(INT_VALUE) \
: (ale_real) (((float) (INT_VALUE)) / ((float) (MAXVAL))) ) )
#define ale_real_ip_weight_floor (1 / (ale_real) 100)
#define ale_real_confidence_floor (1 / (ale_real) 10)
#define ALE_REAL_PRECISION_STRING "FIXED16"
#else
#warning Unknown precision in ale_real.h: Choosing PRECISION=SINGLE.
typedef float ale_real;
typedef float ale_sreal;
#define ale_real_ip_weight_floor 1e-10
#define ale_real_confidence_floor 0.001
#define ALE_REAL_PRECISION_STRING "SINGLE"
#endif
const ale_real ale_real_0 = (ale_real) 0;
#undef SINGLE
#undef DOUBLE
#undef HALF
#undef FIXED16
#undef FIXED32
#endif
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