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      2 Copyright (c) 2006-2011, Skype Limited. All rights reserved.
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     11 - Neither the name of Internet Society, IETF or IETF Trust, nor the
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     13 products derived from this software without specific prior written
     14 permission.
     15 THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
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     18 ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
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     23 CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
     24 ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
     25 POSSIBILITY OF SUCH DAMAGE.
     26 ***********************************************************************/
     27 
     28 #ifdef HAVE_CONFIG_H
     29 #include "config.h"
     30 #endif
     31 
     32 #include "SigProc_FIX.h"
     33 #include "define.h"
     34 
     35 #define QA                          24
     36 #define A_LIMIT                     SILK_FIX_CONST( 0.99975, QA )
     37 
     38 #define MUL32_FRAC_Q(a32, b32, Q)   ((opus_int32)(silk_RSHIFT_ROUND64(silk_SMULL(a32, b32), Q)))
     39 
     40 /* Compute inverse of LPC prediction gain, and                          */
     41 /* test if LPC coefficients are stable (all poles within unit circle)   */
     42 static opus_int32 LPC_inverse_pred_gain_QA_c(               /* O   Returns inverse prediction gain in energy domain, Q30    */
     43     opus_int32           A_QA[ SILK_MAX_ORDER_LPC ],        /* I   Prediction coefficients                                  */
     44     const opus_int       order                              /* I   Prediction order                                         */
     45 )
     46 {
     47     opus_int   k, n, mult2Q;
     48     opus_int32 invGain_Q30, rc_Q31, rc_mult1_Q30, rc_mult2, tmp1, tmp2;
     49 
     50     invGain_Q30 = SILK_FIX_CONST( 1, 30 );
     51     for( k = order - 1; k > 0; k-- ) {
     52         /* Check for stability */
     53         if( ( A_QA[ k ] > A_LIMIT ) || ( A_QA[ k ] < -A_LIMIT ) ) {
     54             return 0;
     55         }
     56 
     57         /* Set RC equal to negated AR coef */
     58         rc_Q31 = -silk_LSHIFT( A_QA[ k ], 31 - QA );
     59 
     60         /* rc_mult1_Q30 range: [ 1 : 2^30 ] */
     61         rc_mult1_Q30 = silk_SUB32( SILK_FIX_CONST( 1, 30 ), silk_SMMUL( rc_Q31, rc_Q31 ) );
     62         silk_assert( rc_mult1_Q30 > ( 1 << 15 ) );                   /* reduce A_LIMIT if fails */
     63         silk_assert( rc_mult1_Q30 <= ( 1 << 30 ) );
     64 
     65         /* Update inverse gain */
     66         /* invGain_Q30 range: [ 0 : 2^30 ] */
     67         invGain_Q30 = silk_LSHIFT( silk_SMMUL( invGain_Q30, rc_mult1_Q30 ), 2 );
     68         silk_assert( invGain_Q30 >= 0           );
     69         silk_assert( invGain_Q30 <= ( 1 << 30 ) );
     70         if( invGain_Q30 < SILK_FIX_CONST( 1.0f / MAX_PREDICTION_POWER_GAIN, 30 ) ) {
     71             return 0;
     72         }
     73 
     74         /* rc_mult2 range: [ 2^30 : silk_int32_MAX ] */
     75         mult2Q = 32 - silk_CLZ32( silk_abs( rc_mult1_Q30 ) );
     76         rc_mult2 = silk_INVERSE32_varQ( rc_mult1_Q30, mult2Q + 30 );
     77 
     78         /* Update AR coefficient */
     79         for( n = 0; n < (k + 1) >> 1; n++ ) {
     80             opus_int64 tmp64;
     81             tmp1 = A_QA[ n ];
     82             tmp2 = A_QA[ k - n - 1 ];
     83             tmp64 = silk_RSHIFT_ROUND64( silk_SMULL( silk_SUB_SAT32(tmp1,
     84                   MUL32_FRAC_Q( tmp2, rc_Q31, 31 ) ), rc_mult2 ), mult2Q);
     85             if( tmp64 > silk_int32_MAX || tmp64 < silk_int32_MIN ) {
     86                return 0;
     87             }
     88             A_QA[ n ] = ( opus_int32 )tmp64;
     89             tmp64 = silk_RSHIFT_ROUND64( silk_SMULL( silk_SUB_SAT32(tmp2,
     90                   MUL32_FRAC_Q( tmp1, rc_Q31, 31 ) ), rc_mult2), mult2Q);
     91             if( tmp64 > silk_int32_MAX || tmp64 < silk_int32_MIN ) {
     92                return 0;
     93             }
     94             A_QA[ k - n - 1 ] = ( opus_int32 )tmp64;
     95         }
     96     }
     97 
     98     /* Check for stability */
     99     if( ( A_QA[ k ] > A_LIMIT ) || ( A_QA[ k ] < -A_LIMIT ) ) {
    100         return 0;
    101     }
    102 
    103     /* Set RC equal to negated AR coef */
    104     rc_Q31 = -silk_LSHIFT( A_QA[ 0 ], 31 - QA );
    105 
    106     /* Range: [ 1 : 2^30 ] */
    107     rc_mult1_Q30 = silk_SUB32( SILK_FIX_CONST( 1, 30 ), silk_SMMUL( rc_Q31, rc_Q31 ) );
    108 
    109     /* Update inverse gain */
    110     /* Range: [ 0 : 2^30 ] */
    111     invGain_Q30 = silk_LSHIFT( silk_SMMUL( invGain_Q30, rc_mult1_Q30 ), 2 );
    112     silk_assert( invGain_Q30 >= 0           );
    113     silk_assert( invGain_Q30 <= ( 1 << 30 ) );
    114     if( invGain_Q30 < SILK_FIX_CONST( 1.0f / MAX_PREDICTION_POWER_GAIN, 30 ) ) {
    115         return 0;
    116     }
    117 
    118     return invGain_Q30;
    119 }
    120 
    121 /* For input in Q12 domain */
    122 opus_int32 silk_LPC_inverse_pred_gain_c(            /* O   Returns inverse prediction gain in energy domain, Q30        */
    123     const opus_int16            *A_Q12,             /* I   Prediction coefficients, Q12 [order]                         */
    124     const opus_int              order               /* I   Prediction order                                             */
    125 )
    126 {
    127     opus_int   k;
    128     opus_int32 Atmp_QA[ SILK_MAX_ORDER_LPC ];
    129     opus_int32 DC_resp = 0;
    130 
    131     /* Increase Q domain of the AR coefficients */
    132     for( k = 0; k < order; k++ ) {
    133         DC_resp += (opus_int32)A_Q12[ k ];
    134         Atmp_QA[ k ] = silk_LSHIFT32( (opus_int32)A_Q12[ k ], QA - 12 );
    135     }
    136     /* If the DC is unstable, we don't even need to do the full calculations */
    137     if( DC_resp >= 4096 ) {
    138         return 0;
    139     }
    140     return LPC_inverse_pred_gain_QA_c( Atmp_QA, order );
    141 }
    142