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      2 Copyright (c) 2017 Google Inc.
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     15 THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
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     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 <arm_neon.h>
     33 #include "SigProc_FIX.h"
     34 #include "define.h"
     35 
     36 #define QA                          24
     37 #define A_LIMIT                     SILK_FIX_CONST( 0.99975, QA )
     38 
     39 #define MUL32_FRAC_Q(a32, b32, Q)   ((opus_int32)(silk_RSHIFT_ROUND64(silk_SMULL(a32, b32), Q)))
     40 
     41 /* The difficulty is how to judge a 64-bit signed integer tmp64 is 32-bit overflowed,
     42  * since NEON has no 64-bit min, max or comparison instructions.
     43  * A failed idea is to compare the results of vmovn(tmp64) and vqmovn(tmp64) whether they are equal or not.
     44  * However, this idea fails when the tmp64 is something like 0xFFFFFFF980000000.
     45  * Here we know that mult2Q >= 1, so the highest bit (bit 63, sign bit) of tmp64 must equal to bit 62.
     46  * tmp64 was shifted left by 1 and we got tmp64'. If high_half(tmp64') != 0 and high_half(tmp64') != -1,
     47  * then we know that bit 31 to bit 63 of tmp64 can not all be the sign bit, and therefore tmp64 is 32-bit overflowed.
     48  * That is, we judge if tmp64' > 0x00000000FFFFFFFF, or tmp64' <= 0xFFFFFFFF00000000.
     49  * We use narrowing shift right 31 bits to tmp32' to save data bandwidth and instructions.
     50  * That is, we judge if tmp32' > 0x00000000, or tmp32' <= 0xFFFFFFFF.
     51  */
     52 
     53 /* Compute inverse of LPC prediction gain, and                          */
     54 /* test if LPC coefficients are stable (all poles within unit circle)   */
     55 static OPUS_INLINE opus_int32 LPC_inverse_pred_gain_QA_neon( /* O   Returns inverse prediction gain in energy domain, Q30    */
     56     opus_int32           A_QA[ SILK_MAX_ORDER_LPC ],         /* I   Prediction coefficients                                  */
     57     const opus_int       order                               /* I   Prediction order                                         */
     58 )
     59 {
     60     opus_int   k, n, mult2Q;
     61     opus_int32 invGain_Q30, rc_Q31, rc_mult1_Q30, rc_mult2, tmp1, tmp2;
     62     opus_int32 max, min;
     63     int32x4_t  max_s32x4, min_s32x4;
     64     int32x2_t  max_s32x2, min_s32x2;
     65 
     66     max_s32x4 = vdupq_n_s32( silk_int32_MIN );
     67     min_s32x4 = vdupq_n_s32( silk_int32_MAX );
     68     invGain_Q30 = SILK_FIX_CONST( 1, 30 );
     69     for( k = order - 1; k > 0; k-- ) {
     70         int32x2_t rc_Q31_s32x2, rc_mult2_s32x2;
     71         int64x2_t mult2Q_s64x2;
     72 
     73         /* Check for stability */
     74         if( ( A_QA[ k ] > A_LIMIT ) || ( A_QA[ k ] < -A_LIMIT ) ) {
     75             return 0;
     76         }
     77 
     78         /* Set RC equal to negated AR coef */
     79         rc_Q31 = -silk_LSHIFT( A_QA[ k ], 31 - QA );
     80 
     81         /* rc_mult1_Q30 range: [ 1 : 2^30 ] */
     82         rc_mult1_Q30 = silk_SUB32( SILK_FIX_CONST( 1, 30 ), silk_SMMUL( rc_Q31, rc_Q31 ) );
     83         silk_assert( rc_mult1_Q30 > ( 1 << 15 ) );                   /* reduce A_LIMIT if fails */
     84         silk_assert( rc_mult1_Q30 <= ( 1 << 30 ) );
     85 
     86         /* Update inverse gain */
     87         /* invGain_Q30 range: [ 0 : 2^30 ] */
     88         invGain_Q30 = silk_LSHIFT( silk_SMMUL( invGain_Q30, rc_mult1_Q30 ), 2 );
     89         silk_assert( invGain_Q30 >= 0           );
     90         silk_assert( invGain_Q30 <= ( 1 << 30 ) );
     91         if( invGain_Q30 < SILK_FIX_CONST( 1.0f / MAX_PREDICTION_POWER_GAIN, 30 ) ) {
     92             return 0;
     93         }
     94 
     95         /* rc_mult2 range: [ 2^30 : silk_int32_MAX ] */
     96         mult2Q = 32 - silk_CLZ32( silk_abs( rc_mult1_Q30 ) );
     97         rc_mult2 = silk_INVERSE32_varQ( rc_mult1_Q30, mult2Q + 30 );
     98 
     99         /* Update AR coefficient */
    100         rc_Q31_s32x2   = vdup_n_s32( rc_Q31 );
    101         mult2Q_s64x2   = vdupq_n_s64( -mult2Q );
    102         rc_mult2_s32x2 = vdup_n_s32( rc_mult2 );
    103 
    104         for( n = 0; n < ( ( k + 1 ) >> 1 ) - 3; n += 4 ) {
    105             /* We always calculate extra elements of A_QA buffer when ( k % 4 ) != 0, to take the advantage of SIMD parallelization. */
    106             int32x4_t tmp1_s32x4, tmp2_s32x4, t0_s32x4, t1_s32x4, s0_s32x4, s1_s32x4, t_QA0_s32x4, t_QA1_s32x4;
    107             int64x2_t t0_s64x2, t1_s64x2, t2_s64x2, t3_s64x2;
    108             tmp1_s32x4  = vld1q_s32( A_QA + n );
    109             tmp2_s32x4  = vld1q_s32( A_QA + k - n - 4 );
    110             tmp2_s32x4  = vrev64q_s32( tmp2_s32x4 );
    111             tmp2_s32x4  = vcombine_s32( vget_high_s32( tmp2_s32x4 ), vget_low_s32( tmp2_s32x4 ) );
    112             t0_s32x4    = vqrdmulhq_lane_s32( tmp2_s32x4, rc_Q31_s32x2, 0 );
    113             t1_s32x4    = vqrdmulhq_lane_s32( tmp1_s32x4, rc_Q31_s32x2, 0 );
    114             t_QA0_s32x4 = vqsubq_s32( tmp1_s32x4, t0_s32x4 );
    115             t_QA1_s32x4 = vqsubq_s32( tmp2_s32x4, t1_s32x4 );
    116             t0_s64x2    = vmull_s32( vget_low_s32 ( t_QA0_s32x4 ), rc_mult2_s32x2 );
    117             t1_s64x2    = vmull_s32( vget_high_s32( t_QA0_s32x4 ), rc_mult2_s32x2 );
    118             t2_s64x2    = vmull_s32( vget_low_s32 ( t_QA1_s32x4 ), rc_mult2_s32x2 );
    119             t3_s64x2    = vmull_s32( vget_high_s32( t_QA1_s32x4 ), rc_mult2_s32x2 );
    120             t0_s64x2    = vrshlq_s64( t0_s64x2, mult2Q_s64x2 );
    121             t1_s64x2    = vrshlq_s64( t1_s64x2, mult2Q_s64x2 );
    122             t2_s64x2    = vrshlq_s64( t2_s64x2, mult2Q_s64x2 );
    123             t3_s64x2    = vrshlq_s64( t3_s64x2, mult2Q_s64x2 );
    124             t0_s32x4    = vcombine_s32( vmovn_s64( t0_s64x2 ), vmovn_s64( t1_s64x2 ) );
    125             t1_s32x4    = vcombine_s32( vmovn_s64( t2_s64x2 ), vmovn_s64( t3_s64x2 ) );
    126             s0_s32x4    = vcombine_s32( vshrn_n_s64( t0_s64x2, 31 ), vshrn_n_s64( t1_s64x2, 31 ) );
    127             s1_s32x4    = vcombine_s32( vshrn_n_s64( t2_s64x2, 31 ), vshrn_n_s64( t3_s64x2, 31 ) );
    128             max_s32x4   = vmaxq_s32( max_s32x4, s0_s32x4 );
    129             min_s32x4   = vminq_s32( min_s32x4, s0_s32x4 );
    130             max_s32x4   = vmaxq_s32( max_s32x4, s1_s32x4 );
    131             min_s32x4   = vminq_s32( min_s32x4, s1_s32x4 );
    132             t1_s32x4    = vrev64q_s32( t1_s32x4 );
    133             t1_s32x4    = vcombine_s32( vget_high_s32( t1_s32x4 ), vget_low_s32( t1_s32x4 ) );
    134             vst1q_s32( A_QA + n,         t0_s32x4 );
    135             vst1q_s32( A_QA + k - n - 4, t1_s32x4 );
    136         }
    137         for( ; n < (k + 1) >> 1; n++ ) {
    138             opus_int64 tmp64;
    139             tmp1 = A_QA[ n ];
    140             tmp2 = A_QA[ k - n - 1 ];
    141             tmp64 = silk_RSHIFT_ROUND64( silk_SMULL( silk_SUB_SAT32(tmp1,
    142                   MUL32_FRAC_Q( tmp2, rc_Q31, 31 ) ), rc_mult2 ), mult2Q);
    143             if( tmp64 > silk_int32_MAX || tmp64 < silk_int32_MIN ) {
    144                return 0;
    145             }
    146             A_QA[ n ] = ( opus_int32 )tmp64;
    147             tmp64 = silk_RSHIFT_ROUND64( silk_SMULL( silk_SUB_SAT32(tmp2,
    148                   MUL32_FRAC_Q( tmp1, rc_Q31, 31 ) ), rc_mult2), mult2Q);
    149             if( tmp64 > silk_int32_MAX || tmp64 < silk_int32_MIN ) {
    150                return 0;
    151             }
    152             A_QA[ k - n - 1 ] = ( opus_int32 )tmp64;
    153         }
    154     }
    155 
    156     /* Check for stability */
    157     if( ( A_QA[ k ] > A_LIMIT ) || ( A_QA[ k ] < -A_LIMIT ) ) {
    158         return 0;
    159     }
    160 
    161     max_s32x2 = vmax_s32( vget_low_s32( max_s32x4 ), vget_high_s32( max_s32x4 ) );
    162     min_s32x2 = vmin_s32( vget_low_s32( min_s32x4 ), vget_high_s32( min_s32x4 ) );
    163     max_s32x2 = vmax_s32( max_s32x2, vreinterpret_s32_s64( vshr_n_s64( vreinterpret_s64_s32( max_s32x2 ), 32 ) ) );
    164     min_s32x2 = vmin_s32( min_s32x2, vreinterpret_s32_s64( vshr_n_s64( vreinterpret_s64_s32( min_s32x2 ), 32 ) ) );
    165     max = vget_lane_s32( max_s32x2, 0 );
    166     min = vget_lane_s32( min_s32x2, 0 );
    167     if( ( max > 0 ) || ( min < -1 ) ) {
    168         return 0;
    169     }
    170 
    171     /* Set RC equal to negated AR coef */
    172     rc_Q31 = -silk_LSHIFT( A_QA[ 0 ], 31 - QA );
    173 
    174     /* Range: [ 1 : 2^30 ] */
    175     rc_mult1_Q30 = silk_SUB32( SILK_FIX_CONST( 1, 30 ), silk_SMMUL( rc_Q31, rc_Q31 ) );
    176 
    177     /* Update inverse gain */
    178     /* Range: [ 0 : 2^30 ] */
    179     invGain_Q30 = silk_LSHIFT( silk_SMMUL( invGain_Q30, rc_mult1_Q30 ), 2 );
    180     silk_assert( invGain_Q30 >= 0           );
    181     silk_assert( invGain_Q30 <= ( 1 << 30 ) );
    182     if( invGain_Q30 < SILK_FIX_CONST( 1.0f / MAX_PREDICTION_POWER_GAIN, 30 ) ) {
    183         return 0;
    184     }
    185 
    186     return invGain_Q30;
    187 }
    188 
    189 /* For input in Q12 domain */
    190 opus_int32 silk_LPC_inverse_pred_gain_neon(         /* O   Returns inverse prediction gain in energy domain, Q30        */
    191     const opus_int16            *A_Q12,             /* I   Prediction coefficients, Q12 [order]                         */
    192     const opus_int              order               /* I   Prediction order                                             */
    193 )
    194 {
    195 #ifdef OPUS_CHECK_ASM
    196     const opus_int32 invGain_Q30_c = silk_LPC_inverse_pred_gain_c( A_Q12, order );
    197 #endif
    198 
    199     opus_int32 invGain_Q30;
    200     if( ( SILK_MAX_ORDER_LPC != 24 ) || ( order & 1 )) {
    201         invGain_Q30 = silk_LPC_inverse_pred_gain_c( A_Q12, order );
    202     }
    203     else {
    204         opus_int32 Atmp_QA[ SILK_MAX_ORDER_LPC ];
    205         opus_int32 DC_resp;
    206         int16x8_t  t0_s16x8, t1_s16x8, t2_s16x8;
    207         int32x4_t  t0_s32x4;
    208         const opus_int leftover = order & 7;
    209 
    210         /* Increase Q domain of the AR coefficients */
    211         t0_s16x8 = vld1q_s16( A_Q12 +  0 );
    212         t1_s16x8 = vld1q_s16( A_Q12 +  8 );
    213         t2_s16x8 = vld1q_s16( A_Q12 + 16 );
    214         t0_s32x4 = vpaddlq_s16( t0_s16x8 );
    215 
    216         switch( order - leftover )
    217         {
    218         case 24:
    219             t0_s32x4 = vpadalq_s16( t0_s32x4, t2_s16x8 );
    220             /* Intend to fall through */
    221 
    222         case 16:
    223             t0_s32x4 = vpadalq_s16( t0_s32x4, t1_s16x8 );
    224             vst1q_s32( Atmp_QA + 16, vshll_n_s16( vget_low_s16 ( t2_s16x8 ), QA - 12 ) );
    225             vst1q_s32( Atmp_QA + 20, vshll_n_s16( vget_high_s16( t2_s16x8 ), QA - 12 ) );
    226             /* Intend to fall through */
    227 
    228         case 8:
    229         {
    230             const int32x2_t t_s32x2 = vpadd_s32( vget_low_s32( t0_s32x4 ), vget_high_s32( t0_s32x4 ) );
    231             const int64x1_t t_s64x1 = vpaddl_s32( t_s32x2 );
    232             DC_resp = vget_lane_s32( vreinterpret_s32_s64( t_s64x1 ), 0 );
    233             vst1q_s32( Atmp_QA +  8, vshll_n_s16( vget_low_s16 ( t1_s16x8 ), QA - 12 ) );
    234             vst1q_s32( Atmp_QA + 12, vshll_n_s16( vget_high_s16( t1_s16x8 ), QA - 12 ) );
    235         }
    236         break;
    237 
    238         default:
    239             DC_resp = 0;
    240             break;
    241         }
    242         A_Q12 += order - leftover;
    243 
    244         switch( leftover )
    245         {
    246         case 6:
    247             DC_resp += (opus_int32)A_Q12[ 5 ];
    248             DC_resp += (opus_int32)A_Q12[ 4 ];
    249             /* Intend to fall through */
    250 
    251         case 4:
    252             DC_resp += (opus_int32)A_Q12[ 3 ];
    253             DC_resp += (opus_int32)A_Q12[ 2 ];
    254             /* Intend to fall through */
    255 
    256         case 2:
    257             DC_resp += (opus_int32)A_Q12[ 1 ];
    258             DC_resp += (opus_int32)A_Q12[ 0 ];
    259             /* Intend to fall through */
    260 
    261         default:
    262             break;
    263         }
    264 
    265         /* If the DC is unstable, we don't even need to do the full calculations */
    266         if( DC_resp >= 4096 ) {
    267             invGain_Q30 = 0;
    268         } else {
    269             vst1q_s32( Atmp_QA + 0, vshll_n_s16( vget_low_s16 ( t0_s16x8 ), QA - 12 ) );
    270             vst1q_s32( Atmp_QA + 4, vshll_n_s16( vget_high_s16( t0_s16x8 ), QA - 12 ) );
    271             invGain_Q30 = LPC_inverse_pred_gain_QA_neon( Atmp_QA, order );
    272         }
    273     }
    274 
    275 #ifdef OPUS_CHECK_ASM
    276     silk_assert( invGain_Q30_c == invGain_Q30 );
    277 #endif
    278 
    279     return invGain_Q30;
    280 }
    281