view libgsmefr/pow2.c @ 122:b33f2168fdec

doc/EFR-rationale article written
author Mychaela Falconia <falcon@freecalypso.org>
date Sat, 10 Dec 2022 08:51:01 +0000
parents 33714b36841a
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/*************************************************************************
 *
 *   FUNCTION:  Pow2()
 *
 *   PURPOSE: computes  L_x = pow(2.0, exponent.fraction)
 *
 *   DESCRIPTION:
 *       The function Pow2(L_x) is approximated by a table and linear
 *       interpolation.
 *          1- i = bit10-b15 of fraction,   0 <= i <= 31
 *          2- a = bit0-b9   of fraction   
 *          3- L_x = table[i]<<16 - (table[i] - table[i+1]) * a * 2
 *          4- L_x = L_x >> (30-exponent)     (with rounding)
 *
 *************************************************************************/

#include "gsm_efr.h"
#include "typedef.h"
#include "namespace.h"
#include "basic_op.h"
#include "no_count.h"
#include "sig_proc.h"

#include "pow2.tab"     /* Table for Pow2() */

Word32 Pow2 (           /* (o)  : result       (range: 0<=val<=0x7fffffff) */
    Word16 exponent,    /* (i)  : Integer part.      (range: 0<=val<=30)   */
    Word16 fraction     /* (i)  : Fractional part.  (range: 0.0<=val<1.0) */
)
{
    Word16 exp, i, a, tmp;
    Word32 L_x;

    L_x = L_mult (fraction, 32);/* L_x = fraction<<6           */
    i = extract_h (L_x);        /* Extract b10-b16 of fraction */
    L_x = L_shr (L_x, 1);
    a = extract_l (L_x);        /* Extract b0-b9   of fraction */
    a = a & (Word16) 0x7fff;    logic16 (); 

    L_x = L_deposit_h (table[i]);       /* table[i] << 16        */
    tmp = sub (table[i], table[i + 1]); /* table[i] - table[i+1] */
    L_x = L_msu (L_x, tmp, a);  /* L_x -= tmp*a*2        */

    exp = sub (30, exponent);
    L_x = L_shr_r (L_x, exp);

    return (L_x);
}