📄 fixed.h
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/* * libmad - MPEG audio decoder library * Copyright (C) 2000-2004 Underbit Technologies, Inc. * * This program 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 2 of the License, or * (at your option) any later version. * * This program 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 this program; if not, write to the Free Software * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA * * $Id: fixed.h,v 1.38 2004/02/17 02:02:03 rob Exp $ */# ifndef LIBMAD_FIXED_H# define LIBMAD_FIXED_H# if SIZEOF_INT >= 4typedef signed int mad_fixed_t;typedef signed int mad_fixed64hi_t;typedef unsigned int mad_fixed64lo_t;# elsetypedef signed long mad_fixed_t;typedef signed long mad_fixed64hi_t;typedef unsigned long mad_fixed64lo_t;# endif# if defined(_MSC_VER)# define mad_fixed64_t signed __int64# elif 1 || defined(__GNUC__)# define mad_fixed64_t signed long long# endif# if defined(FPM_FLOAT)typedef double mad_sample_t;# elsetypedef mad_fixed_t mad_sample_t;# endif/* * Fixed-point format: 0xABBBBBBB * A == whole part (sign + 3 bits) * B == fractional part (28 bits) * * Values are signed two's complement, so the effective range is: * 0x80000000 to 0x7fffffff * -8.0 to +7.9999999962747097015380859375 * * The smallest representable value is: * 0x00000001 == 0.0000000037252902984619140625 (i.e. about 3.725e-9) * * 28 bits of fractional accuracy represent about * 8.6 digits of decimal accuracy. * * Fixed-point numbers can be added or subtracted as normal * integers, but multiplication requires shifting the 64-bit result * from 56 fractional bits back to 28 (and rounding.) * * Changing the definition of MAD_F_FRACBITS is only partially * supported, and must be done with care. */# define MAD_F_FRACBITS 28# if MAD_F_FRACBITS == 28# define MAD_F(x) ((mad_fixed_t) (x##L))# else# if MAD_F_FRACBITS < 28# warning "MAD_F_FRACBITS < 28"# define MAD_F(x) ((mad_fixed_t) \ (((x##L) + \ (1L << (28 - MAD_F_FRACBITS - 1))) >> \ (28 - MAD_F_FRACBITS)))# elif MAD_F_FRACBITS > 28# error "MAD_F_FRACBITS > 28 not currently supported"# define MAD_F(x) ((mad_fixed_t) \ ((x##L) << (MAD_F_FRACBITS - 28)))# endif# endif# define MAD_F_MIN ((mad_fixed_t) -0x80000000L)# define MAD_F_MAX ((mad_fixed_t) +0x7fffffffL)# define MAD_F_ONE MAD_F(0x10000000)# define mad_f_tofixed(x) ((mad_fixed_t) \ ((x) * (double) (1L << MAD_F_FRACBITS) + 0.5))# define mad_f_todouble(x) ((double) \ ((x) / (double) (1L << MAD_F_FRACBITS)))# define mad_f_intpart(x) ((x) >> MAD_F_FRACBITS)# define mad_f_fracpart(x) ((x) & ((1L << MAD_F_FRACBITS) - 1)) /* (x should be positive) */# define mad_f_fromint(x) ((x) << MAD_F_FRACBITS)# define mad_f_add(x, y) ((x) + (y))# define mad_f_sub(x, y) ((x) - (y))# if defined(FPM_FLOAT)# error "FPM_FLOAT not yet supported"# undef MAD_F# define MAD_F(x) mad_f_todouble(x)# define mad_f_mul(x, y) ((x) * (y))# define mad_f_scale64# undef ASO_ZEROCHECK# elif defined(FPM_64BIT)/* * This version should be the most accurate if 64-bit types are supported by * the compiler, although it may not be the most efficient. *///# if defined(OPT_ACCURACY)//# define mad_f_mul(x, y) \ ((mad_fixed_t) \ ((((mad_fixed64_t) (x) * (y)) + \ (1L << (MAD_F_SCALEBITS - 1))) >> MAD_F_SCALEBITS))//# else# define mad_f_mul(x, y) \ ((mad_fixed_t) (((mad_fixed64_t) (x) * (y)) >> MAD_F_SCALEBITS))//# endif# define MAD_F_SCALEBITS MAD_F_FRACBITS/* --- Intel --------------------------------------------------------------- */# define MAD_F_SCALEBITS MAD_F_FRACBITS/* --- Default ------------------------------------------------------------- */# elif defined(FPM_DEFAULT)/* * This version is the most portable but it loses significant accuracy. * Furthermore, accuracy is biased against the second argument, so care * should be taken when ordering operands. * * The scale factors are constant as this is not used with SSO. * * Pre-rounding is required to stay within the limits of compliance. *///# if defined(OPT_SPEED)***********************************//# define mad_f_mul(x, y) (((x) >> 12) * ((y) >> 16))//# else# define mad_f_mul(x, y) ((((x) + (1L << 11)) >> 12) * \ (((y) + (1L << 15)) >> 16))//# endif****************************************************/* ------------------------------------------------------------------------- *///# else******************************************************//# error "no FPM selected"**********************************# endif/* default implementations *//**************************************************************# if !defined(mad_f_mul)# define mad_f_mul(x, y) \ ({ register mad_fixed64hi_t __hi; \ register mad_fixed64lo_t __lo; \ MAD_F_MLX(__hi, __lo, (x), (y)); \ mad_f_scale64(__hi, __lo); \ })# endif*/# if !defined(MAD_F_MLA)# define MAD_F_ML0(hi, lo, x, y) ((lo) = mad_f_mul((x), (y)))# define MAD_F_MLA(hi, lo, x, y) ((lo) += mad_f_mul((x), (y)))# define MAD_F_MLN(hi, lo) ((lo) = -(lo))# define MAD_F_MLZ(hi, lo) ((void) (hi), (mad_fixed_t) (lo))# endif//# if !defined(MAD_F_ML0)********************************//# define MAD_F_ML0(hi, lo, x, y) MAD_F_MLX((hi), (lo), (x), (y))//# endif************************************************# if !defined(MAD_F_MLN)# define MAD_F_MLN(hi, lo) ((hi) = ((lo) = -(lo)) ? ~(hi) : -(hi))# endif# if !defined(MAD_F_MLZ)# define MAD_F_MLZ(hi, lo) mad_f_scale64((hi), (lo))# endif# if !defined(mad_f_scale64)# if defined(OPT_ACCURACY)# define mad_f_scale64(hi, lo) \ ((((mad_fixed_t) \ (((hi) << (32 - (MAD_F_SCALEBITS - 1))) | \ ((lo) >> (MAD_F_SCALEBITS - 1)))) + 1) >> 1)# else# define mad_f_scale64(hi, lo) \ ((mad_fixed_t) \ (((hi) << (32 - MAD_F_SCALEBITS)) | \ ((lo) >> MAD_F_SCALEBITS)))# endif# define MAD_F_SCALEBITS MAD_F_FRACBITS# endif/* C routines */mad_fixed_t mad_f_abs(mad_fixed_t);mad_fixed_t mad_f_div(mad_fixed_t, mad_fixed_t);# endif
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