xref: /cmsis-dsp-latest/dsppp/tests/cmsisdsp.cpp

#include "allocator.h"

#include <dsppp/arch.hpp>
#include <dsppp/fixed_point.hpp>
#include <dsppp/matrix.hpp>

using namespace arm_cmsis_dsp;


#include "dsp/basic_math_functions.h"
#include "dsp/basic_math_functions_f16.h"
#include "dsp/filtering_functions.h"
#include "dsp/matrix_functions.h"
#include "dsp/matrix_functions_f16.h"


#include "bench.h"

#if !defined(DISABLEFLOAT16)
void cmsisdsp_add(const float16_t* a,
              const float16_t* b,
                    float16_t* c,
              uint32_t l)
{

   arm_add_f16(a,b,c,l);
};
#endif


void cmsisdsp_add(const float64_t* a,
              const float64_t* b,
                    float64_t* c,
              uint32_t l)
{

   arm_add_f64(a,b,c,l);
};


void cmsisdsp_add(const float32_t* a,
              const float32_t* b,
                    float32_t* c,
              uint32_t l)
{
   arm_add_f32(a,b,c,l);
};




void cmsisdsp_add(const Q31* a,
              const Q31* b,
                    Q31* c,
              uint32_t l)
{

   arm_add_q31(reinterpret_cast<const q31_t*>(a),
               reinterpret_cast<const q31_t*>(b),
               reinterpret_cast<q31_t*>(c),l);
};


void cmsisdsp_add(const Q15* a,
              const Q15* b,
                    Q15* c,
              uint32_t l)
{

   arm_add_q15(reinterpret_cast<const q15_t*>(a),
               reinterpret_cast<const q15_t*>(b),
               reinterpret_cast<q15_t*>(c),l);
};

void cmsisdsp_add(const Q7* a,
              const Q7* b,
                    Q7* c,
              uint32_t l)
{

   arm_add_q7(reinterpret_cast<const q7_t*>(a),
               reinterpret_cast<const q7_t*>(b),
               reinterpret_cast<q7_t*>(c),l);
};

#if !defined(DISABLEFLOAT16)
void cmsisdsp_dot(const float16_t* a,
              const float16_t* b,
                    float16_t &c,
              uint32_t l)
{
   arm_dot_prod_f16(a,b,l,&c);
};
#endif


void cmsisdsp_dot(const float64_t* a,
              const float64_t* b,
                    float64_t &c,
              uint32_t l)
{
   arm_dot_prod_f64(a,b,l,&c);
};

void cmsisdsp_dot(const float32_t* a,
              const float32_t* b,
                    float32_t &c,
              uint32_t l)
{
   arm_dot_prod_f32(a,b,l,&c);
};




void cmsisdsp_dot(const Q31* a,
              const Q31* b,
                    Q<15,48> &c,
              uint32_t l)
{
   arm_dot_prod_q31(reinterpret_cast<const q31_t*>(a),
               reinterpret_cast<const q31_t*>(b),l,
               reinterpret_cast<q63_t*>(&c));
};


void cmsisdsp_dot(const Q15* a,
              const Q15* b,
                    Q<33,30> &c,
              uint32_t l)
{
   arm_dot_prod_q15(reinterpret_cast<const q15_t*>(a),
               reinterpret_cast<const q15_t*>(b),l,
               reinterpret_cast<q63_t*>(&c));
};


void cmsisdsp_dot(const Q7* a,
              const Q7* b,
                    Q<17,14> &c,
              uint32_t l)
{
   arm_dot_prod_q7(reinterpret_cast<const q7_t*>(a),
               reinterpret_cast<const q7_t*>(b),l,
               reinterpret_cast<q31_t*>(&c));
};

void cmsisdsp_dot_expr(const double* a,
                       const double* b,
                       const double* c,
                       const double* d,
                       double* tmp1,
                       double* tmp2,
                       const double scale,
                       double &r,
                       uint32_t l)
{
   arm_add_f64(a,b,tmp1,l);
   arm_scale_f64(tmp1,scale,tmp1,l);
   arm_mult_f64(c,d,tmp2,l);
   arm_dot_prod_f64(tmp1,tmp2,l,&r);
};

void cmsisdsp_dot_expr(const float32_t* a,
                       const float32_t* b,
                       const float32_t* c,
                       const float32_t* d,
                       float32_t* tmp1,
                       float32_t* tmp2,
                       const float32_t scale,
                       float32_t &r,
                       uint32_t l)
{
   arm_add_f32(a,b,tmp1,l);
   arm_scale_f32(tmp1,scale,tmp1,l);
   arm_mult_f32(c,d,tmp2,l);
   arm_dot_prod_f32(tmp1,tmp2,l,&r);
};

#if !defined(DISABLEFLOAT16)
void cmsisdsp_dot_expr(const float16_t* a,
                       const float16_t* b,
                       const float16_t* c,
                       const float16_t* d,
                       float16_t* tmp1,
                       float16_t* tmp2,
                       const float16_t scale,
                       float16_t &r,
                       uint32_t l)
{
   arm_add_f16(a,b,tmp1,l);
   arm_scale_f16(tmp1,scale,tmp1,l);
   arm_mult_f16(c,d,tmp2,l);
   arm_dot_prod_f16(tmp1,tmp2,l,&r);
};
#endif

void cmsisdsp_fir(const arm_fir_instance_f32 * S,
                  const float32_t * pSrc,
                  float32_t * pDst,
                  uint32_t blockSize)
{
    arm_fir_f32(S,pSrc,pDst,blockSize);
};

void cmsisdsp_fir(const arm_fir_instance_q7 * S,
                  const Q7 * pSrc,
                  Q7 * pDst,
                  uint32_t blockSize)
{
    arm_fir_q7(S,reinterpret_cast<const q7_t*>(pSrc),
                  reinterpret_cast<q7_t*>(pDst),blockSize);
};

void cmsisdsp_fir(const arm_fir_instance_q15 * S,
                  const Q15 * pSrc,
                  Q15 * pDst,
                  uint32_t blockSize)
{
    arm_fir_q15(S,reinterpret_cast<const q15_t*>(pSrc),
                  reinterpret_cast<q15_t*>(pDst),blockSize);
};

void cmsisdsp_fir(const arm_fir_instance_q31 * S,
                  const Q31 * pSrc,
                  Q31 * pDst,
                  uint32_t blockSize)
{
    arm_fir_q31(S,reinterpret_cast<const q31_t*>(pSrc),
                  reinterpret_cast<q31_t*>(pDst),blockSize);
};


void cmsisdsp_dot_expr(const Q7* a,
                       const Q7* b,
                       const Q7* c,
                       const Q7* d,
                       Q7* tmp1,
                       Q7* tmp2,
                       const Q7 scale,
                       Q<17,14> &r,
                       uint32_t l)
{
   arm_add_q7(reinterpret_cast<const q7_t*>(a),
               reinterpret_cast<const q7_t*>(b),
               reinterpret_cast<q7_t*>(tmp1),l);
   arm_scale_q7(reinterpret_cast<q7_t*>(tmp1),scale.v,0,
                 reinterpret_cast<q7_t*>(tmp1),l);


   arm_mult_q7(reinterpret_cast<const q7_t*>(c),
               reinterpret_cast<const q7_t*>(d),
               reinterpret_cast<q7_t*>(tmp2),l);


   arm_dot_prod_q7(reinterpret_cast<q7_t*>(tmp1),
                    reinterpret_cast<q7_t*>(tmp2),l,&r.v);
};

void cmsisdsp_dot_expr(const Q15* a,
                       const Q15* b,
                       const Q15* c,
                       const Q15* d,
                       Q15* tmp1,
                       Q15* tmp2,
                       const Q15 scale,
                       Q<33,30> &r,
                       uint32_t l)
{
   arm_add_q15(reinterpret_cast<const q15_t*>(a),
               reinterpret_cast<const q15_t*>(b),
               reinterpret_cast<q15_t*>(tmp1),l);
   arm_scale_q15(reinterpret_cast<q15_t*>(tmp1),scale.v,0,
                 reinterpret_cast<q15_t*>(tmp1),l);
   arm_mult_q15(reinterpret_cast<const q15_t*>(c),
               reinterpret_cast<const q15_t*>(d),
               reinterpret_cast<q15_t*>(tmp2),l);
   arm_dot_prod_q15(reinterpret_cast<q15_t*>(tmp1),
                    reinterpret_cast<q15_t*>(tmp2),l,&r.v);
};

void cmsisdsp_dot_expr(const Q31* a,
                       const Q31* b,
                       const Q31* c,
                       const Q31* d,
                       Q31* tmp1,
                       Q31* tmp2,
                       const Q31 scale,
                       Q<15,48> &r,
                       uint32_t l)
{
   arm_add_q31(reinterpret_cast<const q31_t*>(a),
               reinterpret_cast<const q31_t*>(b),
               reinterpret_cast<q31_t*>(tmp1),l);
   arm_scale_q31(reinterpret_cast<q31_t*>(tmp1),scale.v,0,
                 reinterpret_cast<q31_t*>(tmp1),l);
   arm_mult_q31(reinterpret_cast<const q31_t*>(c),
               reinterpret_cast<const q31_t*>(d),
               reinterpret_cast<q31_t*>(tmp2),l);
   arm_dot_prod_q31(reinterpret_cast<q31_t*>(tmp1),
                    reinterpret_cast<q31_t*>(tmp2),l,&r.v);
};


void cmsisdsp_mat_add(const float32_t* a,
              const float32_t* b,
                    float32_t* c,
              uint32_t row,uint32_t col)
{
   arm_matrix_instance_f32 srca;
   arm_matrix_instance_f32 srcb;

   arm_matrix_instance_f32 dst;


   srca.numRows = row;
   srca.numCols = col;
   srca.pData = (float32_t*)a;

   srcb.numRows = row;
   srcb.numCols = col;
   srcb.pData = (float32_t*)b;

   dst.numRows = row;
   dst.numCols = col;
   dst.pData = c;
   arm_mat_add_f32(&srca,&srcb,&dst);

}

#if !defined(DISABLEFLOAT16)
void cmsisdsp_mat_add(const float16_t* a,
              const float16_t* b,
                    float16_t* c,
              uint32_t row,uint32_t col)
{
   arm_matrix_instance_f16 srca;
   arm_matrix_instance_f16 srcb;

   arm_matrix_instance_f16 dst;


   srca.numRows = row;
   srca.numCols = col;
   srca.pData = (float16_t*)a;

   srcb.numRows = row;
   srcb.numCols = col;
   srcb.pData = (float16_t*)b;

   dst.numRows = row;
   dst.numCols = col;
   dst.pData = c;
   arm_mat_add_f16(&srca,&srcb,&dst);

}
#endif

void cmsisdsp_mat_add(const Q31* a,
                      const Q31* b,
                            Q31* c,
                      uint32_t row,uint32_t col)
{
   arm_matrix_instance_q31 srca;
   arm_matrix_instance_q31 srcb;

   arm_matrix_instance_q31 dst;


   srca.numRows = row;
   srca.numCols = col;
   srca.pData = reinterpret_cast<q31_t *>(const_cast<Q31*>(a));

   srcb.numRows = row;
   srcb.numCols = col;
   srcb.pData = reinterpret_cast<q31_t *>(const_cast<Q31*>(b));

   dst.numRows = row;
   dst.numCols = col;
   dst.pData = reinterpret_cast<q31_t *>(c);
   arm_mat_add_q31(&srca,&srcb,&dst);

}

void cmsisdsp_mat_add(const Q15* a,
                      const Q15* b,
                            Q15* c,
                      uint32_t row,uint32_t col)
{
   arm_matrix_instance_q15 srca;
   arm_matrix_instance_q15 srcb;

   arm_matrix_instance_q15 dst;


   srca.numRows = row;
   srca.numCols = col;
   srca.pData = reinterpret_cast<q15_t *>(const_cast<Q15*>(a));

   srcb.numRows = row;
   srcb.numCols = col;
   srcb.pData = reinterpret_cast<q15_t *>(const_cast<Q15*>(b));

   dst.numRows = row;
   dst.numCols = col;
   dst.pData = reinterpret_cast<q15_t *>(c);
   arm_mat_add_q15(&srca,&srcb,&dst);

}


void cmsisdsp_mat_add(const Q7* a,
                      const Q7* b,
                            Q7* c,
                      uint32_t row,uint32_t col)
{
   (void)a;
   (void)b;
   (void)c;
   (void)row;
   (void)col;
   // Doing nothing since there is no equivalent CMSIS-DSP
   // function
   // Required to enable the build

   /*
   arm_matrix_instance_q7 srca;
   arm_matrix_instance_q7 srcb;

   arm_matrix_instance_q7 dst;


   srca.numRows = row;
   srca.numCols = col;
   srca.pData = reinterpret_cast<q7_t *>(const_cast<Q7*>(a));

   srcb.numRows = row;
   srcb.numCols = col;
   srcb.pData = reinterpret_cast<q7_t *>(const_cast<Q7*>(b));

   dst.numRows = row;
   dst.numCols = col;
   dst.pData = reinterpret_cast<q7_t *>(c);
   arm_mat_add_q7(&srca,&srcb,&dst);
*/
}

#if defined(ARM_MATH_MVEI) || defined(ARM_MATH_MVEF)
void _cmsis_outer(const float32_t *a,
                 const float32_t *b,
                 float32_t *res,
                 const uint32_t r,const uint32_t c)
{
   for(unsigned int row=0; row<r ; row ++ )
   {
       for(unsigned int col=0; col<c ; col +=4 )
       {
          mve_pred16_t p0 = vctp32q(c-col);

          float32x4_t v1 = vld1q_z(&b[col],p0);
          v1 = vmulq_x_n_f32(v1,a[row],p0);
          vstrwq_p(&res[row*c+col],v1,p0);
       }
   }
}


#if !defined(DISABLEFLOAT16)
void _cmsis_outer(const float16_t *a,
                 const float16_t *b,
                 float16_t *res,
                 const uint32_t r,const uint32_t c)
{
   for(unsigned int row=0; row<r ; row ++ )
   {
       for(unsigned int col=0; col<c ; col +=8 )
       {
          mve_pred16_t p0 = vctp16q(c-col);

          float16x8_t v1 = vld1q_z(&b[col],p0);
          v1 = vmulq_x_n_f16(v1,a[row],p0);
          vstrhq_p(&res[row*c+col],v1,p0);
       }
   }
}
#endif

void _cmsis_outer(const Q31 *a,
                 const Q31 *b,
                 Q31 *res,
                 const uint32_t r,const uint32_t c)
{
   const q31_t *pa = reinterpret_cast<const q31_t *>(a);
   const q31_t *pb = reinterpret_cast<const q31_t *>(b);
   q31_t *pr = reinterpret_cast<q31_t *>(res);
   for(unsigned int row=0; row<r ; row ++ )
   {
       for(unsigned int col=0; col<c ; col +=4 )
       {
          mve_pred16_t p0 = vctp32q(c-col);

          int32x4_t v1 = vld1q_z(&pb[col],p0);
          v1 = vqdmulhq_m_n_s32(vuninitializedq_s32(), v1,pa[row],p0);
          vstrwq_p(&pr[row*c+col],v1,p0);
       }
   }
}

void _cmsis_outer(const Q15 *a,
                 const Q15 *b,
                 Q15 *res,
                 const uint32_t r,const uint32_t c)
{
   const q15_t *pa = reinterpret_cast<const q15_t *>(a);
   const q15_t *pb = reinterpret_cast<const q15_t *>(b);
   q15_t *pr = reinterpret_cast<q15_t *>(res);
   for(unsigned int row=0; row<r ; row ++ )
   {
       for(unsigned int col=0; col<c ; col +=8 )
       {
          mve_pred16_t p0 = vctp16q(c-col);

          int16x8_t v1 = vld1q_z(&pb[col],p0);
          v1 = vqdmulhq_m_n_s16(vuninitializedq_s16(),v1,pa[row],p0);
          vstrhq_p(&pr[row*c+col],v1,p0);
       }
   }
}

void _cmsis_outer(const Q7 *a,
                 const Q7 *b,
                 Q7 *res,
                 const uint32_t r,const uint32_t c)
{
   const q7_t *pa = reinterpret_cast<const q7_t *>(a);
   const q7_t *pb = reinterpret_cast<const q7_t *>(b);
   q7_t *pr = reinterpret_cast<q7_t *>(res);
   for(unsigned int row=0; row<r ; row ++ )
   {
       for(unsigned int col=0; col<c ; col +=16 )
       {
          mve_pred16_t p0 = vctp8q(c-col);

          int8x16_t v1 = vld1q_z(&pb[col],p0);
          v1 = vqdmulhq_m_n_s8(vuninitializedq_s8(),v1,pa[row],p0);
          vstrbq_p(&pr[row*c+col],v1,p0);
       }
   }
}
#endif

const float32_t householder_pattern_4[4] = {-0.45143621, -1.        ,  0.07823104,  0.56856041};
const float32_t householder_pattern_16[16] ={ 0.5122637 , -0.86917937, -0.19042511,  0.46574409,  0.14121624,
       -0.19945171,  0.12364709,  0.56458161, -1.        , -0.46570847,
        0.37724627, -0.68176618,  0.66132393, -0.27301838, -0.30102456,
       -0.46863711};
const float32_t householder_pattern_32[32] ={-0.27607152, -0.64010692,  0.24924816, -0.1221291 ,  0.09912046,
        0.085217  ,  0.24820676, -0.19291274,  0.41545563, -0.02633568,
        0.60912863,  0.13165173, -0.20704703, -0.70260591,  0.69223474,
        0.50554362, -1.        , -0.02547366, -0.35907901,  0.11506218,
        0.26298233, -0.42770096, -0.01737023, -0.00818395,  0.17304538,
        0.25923665,  0.16836481,  0.08255562, -0.11357458,  0.02184729,
        0.76109268, -0.02213071};

static void copy_f32_to_f64(float64_t *dst,float32_t *src,int nb)
{
   for(int i=0;i<nb;i++)
   {
      dst[i] = (float64_t)src[i];
   }
}

void cmsis_init_householder(float32_t *f,const int nb)
{
   if (nb==4)
   {
      memcpy(f,householder_pattern_4,sizeof(float32_t)*nb);
   }
   if (nb==16)
   {
      memcpy(f,householder_pattern_16,sizeof(float32_t)*nb);
   }
   if (nb==32)
   {
      memcpy(f,householder_pattern_32,sizeof(float32_t)*nb);
   }
}

void cmsis_init_householder(float64_t *f,const int nb)
{
   if (nb==4)
   {
      copy_f32_to_f64(f,(float32_t*)householder_pattern_4,nb);
   }
   if (nb==16)
   {
      copy_f32_to_f64(f,(float32_t*)householder_pattern_16,nb);
   }
   if (nb==32)
   {
      copy_f32_to_f64(f,(float32_t*)householder_pattern_32,nb);
   }
}

#if !defined(DISABLEFLOAT16)
static void copy_f32_to_f16(float16_t *dst,float32_t *src,int nb)
{
   for(int i=0;i<nb;i++)
   {
      dst[i] = (float16_t)src[i];
   }
}
#endif

#if !defined(DISABLEFLOAT16)
void cmsis_init_householder(float16_t *f,const int nb)
{
   if (nb==4)
   {

      copy_f32_to_f16(f,(float32_t*)householder_pattern_4,nb);
   }
   if (nb==16)
   {
      copy_f32_to_f16(f,(float32_t*)householder_pattern_16,nb);
   }
   if (nb==32)
   {
      copy_f32_to_f16(f,(float32_t*)householder_pattern_32,nb);
   }
}
#endif

const float32_t random_isometry_4x4_f32[4*4] = {-0.46109607, -0.24352342, -0.81533958, -0.20615929, -0.3728161 ,
        0.62793435, -0.16185064,  0.32881827,  0.06821765,  0.46658338,
       -0.15378958,  0.43166011, -0.71032818,  0.16213376,  0.49825106,
       -0.37650103};

const float32_t random_isometry_16x16_f32[16*16] = {5.69380480e-02, -1.37633572e-01,  1.02055860e-01, -8.48624465e-02,
  1.94451169e-01,  1.03345545e-01, -3.74331557e-01, -4.13616325e-02,
  7.63005061e-02, -4.94134212e-01, -1.36399799e-01, -2.34170108e-01,
  2.21098471e-01,  4.51396341e-01, -1.67600155e-01, -3.11297704e-01,
  1.36993291e-01,  1.51453253e-01,  3.08991232e-01, -3.50304890e-02,
 -8.17043008e-02,  7.23517595e-02,  4.08315013e-02,  2.53488652e-01,
 -3.50447543e-02, -1.99633336e-01, -8.31197208e-02, -2.76697671e-02,
  2.66466406e-01, -1.78378772e-01, -3.66992587e-01, -5.04665668e-02,
 -2.51978196e-01,  2.02263809e-01,  8.35011008e-02, -4.91719830e-02,
 -1.29486498e-01,  1.04851169e-01, -1.88649843e-01, -5.32032212e-01,
  1.43910051e-01,  1.61278447e-01,  2.22376337e-01, -2.36662900e-01,
 -2.71846944e-01,  3.66596236e-01, -1.11185786e-01,  7.81310847e-02,
  3.53524969e-01, -1.35451309e-01, -3.65224785e-01, -1.73087258e-01,
  3.56828211e-01,  1.31555555e-01, -1.88240136e-01,  4.81464791e-02,
  1.67439223e-01,  1.89666937e-03, -1.71239944e-01, -4.21910491e-02,
  1.80633363e-02,  1.20020438e-01,  1.75296329e-01,  5.74151092e-01,
  2.13621928e-01, -7.10558544e-02,  1.83525432e-01,  4.08087648e-01,
  3.49914215e-01, -1.52501220e-01,  3.00653159e-01,  1.92397288e-01,
  6.65496283e-04,  2.04129695e-01,  2.44058447e-01, -5.00917810e-01,
 -1.66055735e-01,  1.86709041e-01, -1.02839917e-02, -2.63332969e-02,
  1.97894305e-01,  1.22772391e-01, -1.61258705e-01, -1.72451564e-01,
  3.09024149e-03,  9.12842953e-02,  3.09511036e-01, -2.07323365e-01,
 -6.99629188e-02, -6.97344404e-02, -2.50295951e-01, -1.53226594e-01,
 -2.93244592e-01, -1.34252109e-01, -6.64644986e-01,  1.55594413e-01,
 -1.47153070e-01, -3.98551792e-01,  1.74488203e-01, -6.32203920e-01,
  1.82021260e-01, -2.98756961e-01, -1.31454807e-02,  1.85808006e-01,
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 -4.16191946e-01, -1.76969952e-01,  4.60127602e-01, -3.63194969e-01,
  2.64088733e-01, -2.78004410e-01,  3.45176282e-02,  1.66762311e-01,
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 -2.39797156e-01, -2.38134722e-02, -5.97277519e-02,  2.26667442e-01,
 -3.54040830e-01,  2.03223484e-01, -1.18698212e-01, -1.59747336e-01,
  1.37615392e-01, -2.44439739e-01,  1.06614263e-01,  2.58171650e-01,
 -6.86640701e-02, -9.59506452e-02,  2.68646691e-01, -2.80800039e-01,
 -3.64537678e-02, -2.64308516e-01, -1.87361734e-01, -2.38791138e-01,
  1.89438379e-01, -6.88119003e-02,  1.65692833e-01,  7.86450332e-02};


const float32_t random_isometry_32x32_f32[32*32] = {
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0.18819993055647785, -0.17227486978744855, -0.21921572989010069, 0.01068723206755737, 0.08684370014871967, -0.008758956850276112};

void cmsis_init_qr(float32_t *f,const int r,const int c)
{
   if ((r==4) && (c==4))
   {
      memcpy(f,random_isometry_4x4_f32,sizeof(float32_t)*r*c);
   }
   if ((r==16) && (c==16))
   {
      memcpy(f,random_isometry_16x16_f32,sizeof(float32_t)*r*c);
   }
   if ((r==32) && (c==32))
   {
      memcpy(f,random_isometry_32x32_f32,sizeof(float32_t)*r*c);
   }
}


void cmsis_init_qr(float64_t *f,const int r,const int c)
{
   if ((r==4) && (c==4))
   {
      copy_f32_to_f64(f,(float32_t*)random_isometry_4x4_f32,r*c);
   }
   if ((r==16) && (c==16))
   {
      copy_f32_to_f64(f,(float32_t*)random_isometry_16x16_f32,r*c);
   }
   if ((r==32) && (c==32))
   {
      copy_f32_to_f64(f,(float32_t*)random_isometry_32x32_f32,r*c);
   }
}

#if !defined(DISABLEFLOAT16)
void cmsis_init_qr(float16_t *f,const int r,const int c)
{
   if ((r==4) && (c==4))
   {
      copy_f32_to_f16(f,(float32_t*)random_isometry_4x4_f32,r*c);
   }
   if ((r==16) && (c==16))
   {
      copy_f32_to_f16(f,(float32_t*)random_isometry_16x16_f32,r*c);
   }
   if ((r==32) && (c==32))
   {
      copy_f32_to_f16(f,(float32_t*)random_isometry_32x32_f32,r*c);
   }
}
#endif

const float32_t random_sdp_4x4_f32[4*4]={
25.0, 39.75, 66.0, 93.5, 39.75, 63.75, 105.25, 147.5, 66.0, 105.25, 175.5, 245.5, 93.5, 147.5, 245.5, 353.0
};

const float32_t random_sdp_16x16_f32[16*16]={
2.700945297501233, 2.279307100092882, 1.5849755137283175, 2.417789946689702, 2.1514472142359065, 2.6413305532099938, 2.026227680747844, 1.7078250022934063, 1.5348109459558188, 2.4012149501845625, 1.7725768495595937, 2.488697467808775, 2.068715814553819, 2.5311387770052503, 1.0231398628800124, 2.4969556781492686, 2.279307100092882, 2.6564388387340614, 1.4512508865033824, 2.3362931631915225, 2.2022641318875498, 2.544070682449193, 2.1668252749472816, 2.0319723933818348, 1.3947248959004686, 2.202687851122394, 1.6281812459575296, 2.2257145135264063, 2.023398481811725, 2.2396249860896185, 1.1154785609593063, 2.2212595341670935, 1.5849755137283175, 1.4512508865033824, 1.6569550617596642, 1.4108021059813987, 1.6627059842699814, 2.076225217809575, 1.3765836151027875, 1.589420912872039, 1.3403316198834774, 1.836722771319919, 0.8678634773434062, 1.728402611152431, 1.3615509552340186, 1.6102504498177936, 0.47068891979500005, 1.684990944826532, 2.417789946689702, 2.3362931631915225, 1.4108021059813987, 3.2977954871174324, 2.3700971746706934, 2.7750190489484314, 2.248672968327009, 1.8687438430842913, 1.6209886829713436, 2.63830775439295, 2.1089115458534433, 2.718742724433719, 2.6323234102836435, 2.3460912975174124, 1.2270607357960501, 2.5721257623316998, 2.151447214235906, 2.2022641318875498, 1.6627059842699814, 2.3700971746706934, 3.0230567587214376, 3.191103128332187, 1.875287551874037, 2.319758396156411, 2.247936302529488, 2.9501892532332747, 1.833720516752425, 2.58300998901625, 2.6962033493638122, 2.6361607307799377, 0.9104534672305687, 2.8915802013860312, 2.641330553209994, 2.544070682449193, 2.076225217809575, 2.7750190489484314, 3.1911031283321876, 4.3484734981060615, 2.569210676449175, 2.855623851444787, 3.1344020403009623, 3.1472490536236997, 1.9814080616896939, 3.0774078450536253, 3.2778222516109374, 2.9671743747278128, 1.4048415258735187, 3.016934200980412, 2.026227680747844, 2.1668252749472816, 1.3765836151027875, 2.248672968327009, 1.8752875518740373, 2.569210676449175, 2.634968121194319, 2.2493369236498197, 1.7144578362626999, 1.8431862033710502, 1.8101187705570811, 2.491183185729788, 2.195985858813213, 2.2790423526339376, 1.3014559195883564, 2.169629117150412, 1.7078250022934063, 2.0319723933818348, 1.589420912872039, 1.8687438430842913, 2.319758396156411, 2.8556238514447867, 2.24933692364982, 2.6338671573465913, 2.052039836699484, 2.1572063363553937, 1.5406292680679787, 2.3405114868522885, 2.2642224985836377, 2.2623963844332184, 0.9967642116659812, 2.2464621063026424, 1.534810945955819, 1.3947248959004686, 1.3403316198834774, 1.6209886829713434, 2.2479363025294874, 3.1344020403009623, 1.7144578362626999, 2.052039836699484, 2.7144108908441327, 2.0370544226628753, 1.2935791532813437, 2.1703470519822, 2.3749127415903377, 2.1674537956084623, 0.8344205409590062, 1.967349528138, 2.4012149501845625, 2.202687851122394, 1.8367227713199188, 2.63830775439295, 2.9501892532332747, 3.1472490536236997, 1.8431862033710502, 2.1572063363553937, 2.0370544226628753, 3.205410914995665, 2.0481982559972085, 2.65239077271705, 2.701559542415575, 2.7468960455555504, 0.8823172086187251, 3.0500211870766316, 1.772576849559594, 1.6281812459575296, 0.8678634773434062, 2.1089115458534433, 1.833720516752425, 1.9814080616896936, 1.8101187705570811, 1.5406292680679787, 1.2935791532813437, 2.048198255997209, 2.2547060600561646, 2.109266757642494, 2.172574216035175, 2.238825547924319, 0.9422534917819564, 2.43656985711335, 2.488697467808775, 2.2257145135264063, 1.728402611152431, 2.718742724433719, 2.5830099890162503, 3.077407845053625, 2.4911831857297875, 2.3405114868522885, 2.1703470519822, 2.65239077271705, 2.109266757642494, 3.2866709398645626, 2.4857920499819373, 2.8814369596795624, 1.0989863855011937, 2.985768815796319, 2.068715814553819, 2.023398481811725, 1.3615509552340186, 2.6323234102836435, 2.6962033493638127, 3.2778222516109374, 2.195985858813213, 2.2642224985836377, 2.3749127415903377, 2.701559542415575, 2.172574216035175, 2.4857920499819377, 3.103332874731625, 2.5354740586623126, 1.2815604601575314, 2.708101500955981, 2.5311387770052503, 2.2396249860896185, 1.6102504498177934, 2.3460912975174124, 2.636160730779938, 2.9671743747278128, 2.2790423526339376, 2.2623963844332184, 2.1674537956084623, 2.7468960455555504, 2.238825547924319, 2.881436959679562, 2.5354740586623126, 3.402328502508312, 1.0105553901175188, 3.0030756040726687, 1.0231398628800126, 1.1154785609593063, 0.47068891979500005, 1.2270607357960501, 0.9104534672305687, 1.4048415258735187, 1.3014559195883564, 0.9967642116659812, 0.8344205409590062, 0.8823172086187251, 0.9422534917819564, 1.0989863855011937, 1.2815604601575314, 1.0105553901175188, 0.9633674825639494, 0.9878779132923687, 2.4969556781492686, 2.2212595341670935, 1.684990944826532, 2.5721257623316998, 2.8915802013860312, 3.016934200980412, 2.169629117150412, 2.2464621063026424, 1.967349528138, 3.0500211870766316, 2.43656985711335, 2.985768815796319, 2.7081015009559812, 3.0030756040726687, 0.9878779132923688, 3.4586125928033367
};

const float32_t random_sdp_32x32_f32[32*32] = {
   3.962982337952489, 3.258063047322271, 4.049537103963542, 3.4596919611189594, 2.608748240260557, 3.457762006881469, 3.2193769362666877, 2.36878681220616, 2.608860056155112, 2.9359903261121003, 3.4347952190769093, 3.3489562216269997, 3.236532222240136, 3.3908161478252565, 2.6004287471585146, 3.4778799533527907, 3.9441297355021367, 2.690339079959059, 2.7040435571588723, 4.097516198078844, 2.689397904612436, 3.1757221504502433, 2.7840089755113824, 3.282253321577887, 3.5861682887660606, 3.2593594395795438, 2.856336126475509, 2.875790806724925, 3.5697944697713715, 3.0718633171796257, 2.8639288036044017, 3.4953216860726917, 3.2580630473222714, 5.023658450702154, 4.724924357607405, 4.2959691524241785, 3.0328418814455684, 4.379776948368773, 4.531656553346246, 2.0805311484707274, 4.146861899214031, 2.8448770454684675, 4.298596385456439, 3.5677857895875187, 3.8868091580495783, 4.172158250801878, 3.077421836311209, 3.8000981155967586, 4.764590496557555, 3.404267929293151, 4.099327726255604, 3.993442101897572, 3.2371606240613864, 3.389573370397508, 2.7108312600028444, 3.7189728972187863, 4.832988078372525, 4.0438269034720635, 3.637021975641108, 3.069547233798435, 3.8911683886781083, 4.002699656759023, 3.686659336383217, 4.420883318787573, 4.049537103963542, 4.724924357607405, 7.284179248268556, 5.214541222622886, 3.887970860004088, 5.753806053322463, 5.629546679017673, 3.1802228348908663, 4.152764541595372, 4.036275511661986, 5.254827170066871, 5.532275675413409, 4.654156631928212, 4.841400421776575, 4.2678346017184055, 5.064399938356294, 5.787496583752425, 4.061770065163565, 4.561935395436077, 5.338178627385598, 4.631982669583265, 4.04817911502475, 4.074773528636097, 4.0556967255953875, 6.547668531149082, 5.060337202052291, 4.1585976592724805, 4.179632273577691, 5.390197171213056, 5.109426074778116, 4.47639612115159, 5.501184786945122, 3.4596919611189594, 4.2959691524241785, 5.214541222622886, 5.755337351440731, 3.2793603164682876, 4.507148475335209, 4.719209780833385, 2.7260604546475093, 3.8596642985116865, 4.050808909983587, 4.296660527027206, 4.467077491977087, 3.807955281455994, 4.236755979586986, 3.091042946631457, 4.64090491578105, 4.762949639787548, 3.434756962715794, 3.9622911604240936, 4.9414617708424755, 3.5718883848046374, 4.18403299118855, 3.2526585082487345, 4.375478116829063, 5.019622247849673, 4.328262826144412, 3.5869724275885746, 3.7991926581926996, 4.49573655533737, 4.1338105680488315, 3.8378506208796788, 4.6474502405231695, 2.608748240260557, 3.0328418814455684, 3.887970860004088, 3.2793603164682876, 4.04308751252136, 4.119152859559557, 3.8500257234268096, 2.880692983322458, 3.022137277417667, 3.2126022287886626, 2.859833633423297, 3.3549685517285246, 3.211429795975937, 3.3415961605570947, 3.000485405462325, 2.943122255088694, 3.5880171934791205, 2.3462117508666482, 3.741867881663351, 3.5815075799994185, 2.977398687181556, 3.0738523051908526, 2.647727588076209, 3.1846864162261803, 4.243204991826781, 3.808550080377437, 3.048375263329588, 3.184050092366138, 2.9819193805283186, 4.130140010902999, 3.3669248875223405, 4.209854238756024, 3.457762006881469, 4.379776948368773, 5.753806053322463, 4.50714847533521, 4.119152859559557, 6.546506251335145, 5.5051153713896, 3.6885831799404025, 4.2935116379229, 4.937349888136175, 4.649634614150263, 5.162565873103582, 4.321208816517622, 4.860526725438859, 4.165866130280626, 4.508121000863119, 5.000798950996206, 3.853839597047175, 4.681209355831753, 5.205088044633326, 4.656066608350676, 3.763668449755257, 3.7186768765948246, 4.4137552971329965, 5.972371664188578, 4.870960893115659, 4.0940154113020935, 4.256499943049193, 4.935598187319021, 5.193115956877178, 4.538659358985781, 5.467162237890344, 3.2193769362666877, 4.531656553346247, 5.629546679017673, 4.719209780833385, 3.8500257234268096, 5.5051153713896, 6.22927527739691, 3.1619392465984997, 4.272672935545915, 4.215494152853278, 4.747103580602807, 4.4113724085939685, 4.394126410946309, 4.876346299318329, 4.3970941492352065, 4.690453908817078, 4.987124888771773, 3.8720128577642714, 5.005936538290864, 5.135590050457474, 4.430956864154369, 4.282234094786728, 3.4980695116273197, 4.651259656732732, 6.098362448110332, 4.902641138451369, 4.002140716219812, 4.180661781965751, 4.531866821353604, 5.19681235887693, 4.420638184264228, 5.239797812982575, 2.36878681220616, 2.0805311484707274, 3.1802228348908663, 2.7260604546475093, 2.8806929833224584, 3.6885831799404025, 3.1619392465984997, 3.6015844418444867, 2.061690049445126, 3.1774296031892844, 2.638687436275006, 3.3259966748517122, 2.916641244437966, 3.4147088239201686, 2.995511844750009, 3.1144775076574, 2.8617292785893884, 2.44407453417666, 2.8462162417036643, 3.6254255401247812, 2.4228595252895717, 2.8049680051424444, 2.6415721529678855, 3.0381755089847204, 3.7032550120916836, 3.0862509694866507, 2.7427512583789655, 3.0183933997984527, 3.1416872372889757, 3.4657503224322217, 2.84541646065416, 3.1309563860597294, 2.6088600561551116, 4.146861899214031, 4.152764541595372, 3.8596642985116865, 3.022137277417667, 4.2935116379229, 4.272672935545915, 2.061690049445126, 4.7294795506368175, 3.0221070327854753, 4.025459294089731, 3.080139219364956, 3.631347582120466, 3.5106350455758206, 2.6597059216322783, 3.4239263410600724, 4.129353706826948, 2.9820850873953497, 3.9822531680505335, 3.555341926595753, 3.232590122945775, 3.0681871064352157, 2.641712330539264, 3.563373999945094, 4.621924180487924, 4.029114523703862, 3.667069952178138, 3.017108598729165, 3.4655186480439966, 3.7571439035724405, 3.7973654368338905, 4.429482895305322, 2.9359903261121003, 2.844877045468468, 4.036275511661986, 4.050808909983588, 3.2126022287886626, 4.937349888136175, 4.215494152853278, 3.1774296031892844, 3.0221070327854753, 5.507250764726119, 3.6082520296113896, 4.37712941178483, 3.0201828483854625, 3.532212628781479, 3.3784887957799734, 3.6430306828318626, 3.533512253218044, 2.6605862162118044, 3.1879783187523123, 4.73475228265243, 3.5585532841037466, 3.37039024073841, 3.11298560417523, 4.165794870909168, 4.107268173069444, 3.3972906236575535, 3.0254360330349517, 3.820546211777247, 4.118197397914825, 3.88092917593326, 3.319431850310794, 4.543079325847466, 3.434795219076909, 4.298596385456439, 5.254827170066871, 4.296660527027206, 2.859833633423297, 4.649634614150263, 4.747103580602807, 2.638687436275006, 4.025459294089731, 3.608252029611389, 5.489222332395801, 4.321653434790665, 4.048299728306069, 4.2655438311448926, 3.5161464946579217, 4.12528702657051, 4.846068415371156, 3.641773586306044, 3.9391712251653876, 4.361063940213462, 3.3283375684527057, 3.3471760835941597, 3.2652377881591974, 3.743159929772741, 4.981291662201602, 4.1136187187582065, 3.710298330122175, 3.398733012364021, 4.581966936566409, 4.135729857066328, 3.4875870437888126, 4.315861446066634, 3.3489562216269997, 3.5677857895875187, 5.532275675413409, 4.467077491977087, 3.354968551728525, 5.162565873103582, 4.4113724085939685, 3.3259966748517122, 3.080139219364956, 4.37712941178483, 4.321653434790666, 5.8116977142889334, 4.248043030563612, 4.634109230793916, 3.755341543781859, 4.232720913713794, 4.4373230263368875, 3.5373288401130125, 3.753067541946593, 5.107994467928271, 3.703709687087838, 3.4017887580895625, 3.7166820404002197, 3.477478511872312, 5.271159972924597, 3.9185500461955938, 3.570272481340088, 3.648356694041031, 4.832017644670343, 4.496102872835249, 3.375479815407288, 4.593329950518181, 3.236532222240136, 3.8868091580495787, 4.654156631928212, 3.807955281455994, 3.211429795975937, 4.321208816517622, 4.394126410946309, 2.916641244437966, 3.631347582120466, 3.020182848385463, 4.048299728306069, 4.248043030563612, 4.800715845660676, 4.775593312563134, 3.567661110748682, 3.934824454477356, 4.421474943200809, 3.7596900032465976, 4.00720439929119, 4.080602229227414, 2.9301499225361947, 3.5559236690468814, 3.3068988390064016, 3.3129740057910935, 5.104192922328095, 4.335540173260794, 3.9003990175161416, 3.099814362883594, 4.2276464665513185, 4.409178153986425, 3.347618191967478, 4.1400665110533135, 3.3908161478252565, 4.172158250801878, 4.841400421776575, 4.236755979586986, 3.3415961605570947, 4.86052672543886, 4.87634629931833, 3.4147088239201686, 3.5106350455758206, 3.532212628781479, 4.265543831144893, 4.634109230793916, 4.775593312563134, 6.3161185512667375, 4.3607357543538745, 4.472926823961644, 4.787804168868831, 4.480257059053383, 4.351129672886095, 4.956723805718066, 3.2817180767772847, 4.064608483458253, 3.4630363070355243, 4.082032324226313, 5.456701268308576, 4.425087165705437, 4.207166220406497, 3.648249402047222, 4.762939171146694, 4.59238479787869, 3.7084370569394034, 4.8961512102843665, 2.6004287471585146, 3.077421836311209, 4.2678346017184055, 3.0910429466314566, 3.000485405462325, 4.165866130280626, 4.3970941492352065, 2.995511844750009, 2.6597059216322787, 3.3784887957799734, 3.5161464946579217, 3.755341543781859, 3.5676611107486824, 4.3607357543538745, 4.504732532790424, 3.7786294994658562, 3.506558137892223, 3.2051962359778194, 3.275049853320842, 4.232134097007591, 2.885351767644541, 3.297796466284369, 2.989726470512907, 3.258897345148313, 4.601283551978352, 3.2143148920973594, 3.506895006774462, 3.1650104186493535, 3.8577079292344436, 4.420040964607784, 3.2248880254093124, 4.228615535093103, 3.47787995335279, 3.8000981155967586, 5.064399938356294, 4.64090491578105, 2.943122255088694, 4.508121000863119, 4.690453908817077, 3.1144775076574, 3.4239263410600724, 3.6430306828318626, 4.12528702657051, 4.232720913713794, 3.934824454477356, 4.472926823961644, 3.778629499465856, 5.160690642707333, 4.70288675157755, 3.592106107308394, 3.6150011096851773, 4.974456614987606, 3.5948072939803066, 4.066356141365569, 3.5263453556874835, 4.008246249772924, 5.157227995207579, 3.910049366071169, 3.737927553944732, 3.586808327844562, 4.714437165385775, 4.361707870106988, 4.098479783361043, 4.328992257281945, 3.9441297355021363, 4.764590496557555, 5.787496583752425, 4.762949639787548, 3.5880171934791205, 5.000798950996206, 4.987124888771774, 2.861729278589389, 4.129353706826948, 3.533512253218044, 4.846068415371156, 4.4373230263368875, 4.421474943200809, 4.787804168868831, 3.506558137892223, 4.70288675157755, 6.281630386609974, 3.695682860273643, 4.323695795169043, 4.582339249584636, 3.6999533439715244, 4.389942828045708, 3.496355211553264, 4.02004497778957, 5.6123415073582725, 4.91454946859334, 3.8478620477990098, 3.3830386760358624, 4.817651280938564, 4.415266293875235, 4.377789722768812, 4.769824720234984, 2.690339079959059, 3.404267929293151, 4.061770065163565, 3.4347569627157943, 2.3462117508666482, 3.8538395970471746, 3.872012857764271, 2.44407453417666, 2.9820850873953497, 2.6605862162118035, 3.641773586306044, 3.537328840113012, 3.7596900032465976, 4.480257059053383, 3.2051962359778194, 3.592106107308394, 3.695682860273643, 4.086893915175692, 3.6637315499518297, 3.7972745471459, 2.6123858780303184, 3.260962256638132, 2.5107417878406024, 3.147522234777949, 4.507682555601473, 3.9817157236029717, 3.548071933465432, 2.8485210896754625, 3.4347312974375157, 3.4773243786626478, 2.7884515756799844, 3.46627039278344, 2.7040435571588723, 4.099327726255604, 4.561935395436076, 3.9622911604240936, 3.741867881663351, 4.681209355831753, 5.005936538290864, 2.8462162417036643, 3.9822531680505335, 3.1879783187523127, 3.9391712251653876, 3.7530675419465935, 4.00720439929119, 4.3511296728860955, 3.275049853320842, 3.6150011096851773, 4.323695795169043, 3.6637315499518297, 5.478257310901688, 4.19993313888363, 3.614452539945133, 3.6089548995618363, 2.700334364077501, 3.7689206389182917, 5.517721253756119, 4.810875315673601, 3.739654328170675, 3.355587862975343, 3.1178505116500475, 4.432696657662017, 3.6115104635959305, 4.45407178999449, 4.097516198078844, 3.993442101897572, 5.338178627385598, 4.9414617708424755, 3.5815075799994185, 5.205088044633326, 5.135590050457474, 3.6254255401247812, 3.555341926595753, 4.73475228265243, 4.361063940213462, 5.107994467928271, 4.080602229227414, 4.956723805718066, 4.232134097007591, 4.974456614987606, 4.582339249584636, 3.7972745471459, 4.19993313888363, 6.391155065398847, 4.205786901340056, 4.345539543307413, 3.9040138628914605, 4.630881140699793, 5.378053961665847, 4.0485975810778, 3.985507482186319, 4.188519410754106, 4.79323310700591, 4.805461546372272, 4.142294602254569, 4.997091818139618, 2.689397904612436, 3.2371606240613864, 4.631982669583265, 3.5718883848046374, 2.977398687181556, 4.656066608350676, 4.430956864154369, 2.4228595252895717, 3.232590122945775, 3.558553284103746, 3.3283375684527057, 3.7037096870878377, 2.9301499225361947, 3.281718076777285, 2.885351767644541, 3.5948072939803066, 3.6999533439715244, 2.6123858780303184, 3.614452539945133, 4.205786901340056, 4.461577543541839, 2.768835855171012, 2.800749837488376, 3.5029818891504254, 4.703943150080182, 3.3498285948948254, 2.8376627557852707, 3.620245352174845, 3.6054379243286756, 3.6884397530429562, 3.83220999148105, 4.236864571331281, 3.1757221504502433, 3.389573370397508, 4.04817911502475, 4.18403299118855, 3.073852305190852, 3.763668449755257, 4.282234094786728, 2.8049680051424444, 3.068187106435216, 3.37039024073841, 3.3471760835941597, 3.401788758089563, 3.5559236690468814, 4.064608483458253, 3.297796466284369, 4.066356141365569, 4.389942828045708, 3.260962256638132, 3.608954899561836, 4.345539543307413, 2.768835855171012, 4.778666558950309, 2.7252758569408844, 4.139799353641271, 4.358587299358624, 4.336419723335723, 3.463399986647839, 3.2431942050084186, 3.599032326588088, 3.656256519712694, 3.4610318583337536, 4.012940929905369, 2.7840089755113824, 2.7108312600028444, 4.074773528636097, 3.2526585082487345, 2.647727588076209, 3.718676876594824, 3.4980695116273193, 2.6415721529678855, 2.641712330539264, 3.1129856041752295, 3.265237788159197, 3.7166820404002197, 3.3068988390064016, 3.463036307035525, 2.989726470512907, 3.526345355687484, 3.496355211553264, 2.5107417878406024, 2.7003343640775013, 3.904013862891461, 2.8007498374883757, 2.7252758569408844, 3.437434769935966, 2.721578934269042, 3.889481141612586, 2.803310271841279, 2.7204072641058397, 2.820035885184703, 3.939030619721151, 3.6190065375626665, 3.008567058328858, 3.5147109177202065, 3.2822533215778864, 3.7189728972187868, 4.0556967255953875, 4.375478116829063, 3.1846864162261803, 4.4137552971329965, 4.651259656732731, 3.0381755089847204, 3.563373999945094, 4.165794870909169, 3.743159929772741, 3.477478511872312, 3.3129740057910935, 4.082032324226313, 3.2588973451483128, 4.008246249772924, 4.02004497778957, 3.147522234777949, 3.768920638918291, 4.630881140699793, 3.5029818891504254, 4.139799353641271, 2.721578934269042, 5.007191587031482, 4.587256368407053, 4.295549772520548, 3.428474472825706, 4.0557837598725754, 3.8107006803081807, 3.6694459006224625, 3.8238305401306754, 4.646115194066262, 3.5861682887660598, 4.832988078372525, 6.547668531149082, 5.019622247849673, 4.243204991826781, 5.972371664188578, 6.098362448110332, 3.703255012091683, 4.621924180487924, 4.107268173069444, 4.981291662201602, 5.271159972924597, 5.104192922328095, 5.456701268308576, 4.601283551978352, 5.157227995207579, 5.6123415073582725, 4.507682555601473, 5.517721253756119, 5.378053961665848, 4.703943150080182, 4.358587299358624, 3.889481141612586, 4.587256368407053, 7.4682073838626275, 5.786947450753669, 4.584325682050921, 4.465525005563425, 5.070608638207554, 5.700669236606462, 4.862583198804054, 5.829303490547293, 3.2593594395795438, 4.0438269034720635, 5.060337202052291, 4.328262826144412, 3.808550080377437, 4.870960893115659, 4.902641138451369, 3.0862509694866507, 4.029114523703862, 3.3972906236575535, 4.1136187187582065, 3.9185500461955938, 4.335540173260794, 4.425087165705437, 3.2143148920973594, 3.910049366071169, 4.91454946859334, 3.981715723602971, 4.810875315673601, 4.0485975810778, 3.3498285948948254, 4.336419723335723, 2.8033102718412795, 4.295549772520548, 5.786947450753669, 5.9708576015969514, 3.862990457206838, 3.688856786458443, 3.8123793851787267, 4.263857914345461, 3.793624490926946, 4.56651781737832, 2.856336126475509, 3.6370219756411086, 4.1585976592724805, 3.5869724275885746, 3.0483752633295884, 4.0940154113020935, 4.002140716219812, 2.7427512583789655, 3.667069952178138, 3.0254360330349517, 3.710298330122175, 3.570272481340088, 3.9003990175161416, 4.207166220406497, 3.5068950067744624, 3.737927553944732, 3.84786204779901, 3.548071933465432, 3.739654328170675, 3.985507482186319, 2.8376627557852707, 3.463399986647839, 2.7204072641058397, 3.4284744728257066, 4.584325682050921, 3.8629904572068376, 4.227355585470887, 2.9691756342532503, 3.417068845143175, 4.075641623192482, 3.406268092268903, 4.115988350722507, 2.875790806724925, 3.0695472337984353, 4.179632273577691, 3.7991926581927, 3.184050092366138, 4.256499943049193, 4.180661781965751, 3.0183933997984527, 3.017108598729165, 3.820546211777247, 3.3987330123640214, 3.648356694041031, 3.099814362883594, 3.6482494020472225, 3.1650104186493535, 3.5868083278445626, 3.3830386760358624, 2.8485210896754625, 3.355587862975343, 4.188519410754106, 3.620245352174845, 3.243194205008418, 2.820035885184703, 4.0557837598725754, 4.465525005563425, 3.688856786458443, 2.9691756342532503, 4.151691400203102, 3.764884638050069, 3.625803929274025, 3.5481220676177156, 4.376103742915374, 3.5697944697713715, 3.891168388678108, 5.390197171213057, 4.495736555337369, 2.9819193805283186, 4.935598187319021, 4.531866821353604, 3.1416872372889757, 3.4655186480439966, 4.118197397914825, 4.581966936566409, 4.832017644670343, 4.2276464665513185, 4.762939171146694, 3.8577079292344436, 4.714437165385775, 4.817651280938564, 3.4347312974375153, 3.117850511650048, 4.79323310700591, 3.6054379243286756, 3.599032326588088, 3.939030619721151, 3.8107006803081807, 5.070608638207554, 3.8123793851787267, 3.4170688451431754, 3.7648846380500696, 5.825676096413891, 4.34505859006525, 3.9109971626599247, 4.6718773894135035, 3.0718633171796257, 4.002699656759023, 5.109426074778116, 4.1338105680488315, 4.130140010902999, 5.193115956877178, 5.19681235887693, 3.4657503224322217, 3.7571439035724405, 3.88092917593326, 4.135729857066328, 4.496102872835249, 4.409178153986424, 4.59238479787869, 4.420040964607785, 4.361707870106988, 4.415266293875235, 3.4773243786626473, 4.432696657662016, 4.805461546372272, 3.6884397530429562, 3.656256519712694, 3.619006537562667, 3.6694459006224625, 5.700669236606462, 4.263857914345462, 4.075641623192482, 3.6258039292740247, 4.34505859006525, 5.70044338947371, 4.048640396071456, 4.818445249885493, 2.8639288036044017, 3.686659336383218, 4.47639612115159, 3.8378506208796788, 3.3669248875223405, 4.538659358985781, 4.420638184264228, 2.84541646065416, 3.7973654368338905, 3.319431850310794, 3.4875870437888126, 3.375479815407288, 3.347618191967478, 3.7084370569394034, 3.2248880254093124, 4.098479783361043, 4.377789722768812, 2.7884515756799844, 3.61151046359593, 4.142294602254569, 3.83220999148105, 3.4610318583337536, 3.0085670583288575, 3.8238305401306754, 4.862583198804054, 3.793624490926946, 3.4062680922689035, 3.5481220676177156, 3.910997162659925, 4.048640396071456, 4.453197123559195, 4.5010891645489, 3.4953216860726917, 4.420883318787573, 5.501184786945122, 4.647450240523169, 4.209854238756024, 5.467162237890344, 5.239797812982575, 3.1309563860597294, 4.429482895305322, 4.543079325847466, 4.315861446066634, 4.593329950518181, 4.140066511053313, 4.8961512102843665, 4.228615535093103, 4.328992257281945, 4.7698247202349835, 3.4662703927834397, 4.45407178999449, 4.9970918181396184, 4.236864571331281, 4.012940929905369, 3.514710917720206, 4.646115194066262, 5.829303490547293, 4.56651781737832, 4.115988350722507, 4.376103742915374, 4.6718773894135035, 4.818445249885493, 4.5010891645489, 6.4605565465606265
};

void cmsis_init_cholesky(float32_t *f,const int r,const int c)
{
   if ((r==4) && (c==4))
   {
      memcpy(f,random_sdp_4x4_f32,sizeof(float32_t)*r*c);
   }
   if ((r==16) && (c==16))
   {
      memcpy(f,random_sdp_16x16_f32,sizeof(float32_t)*r*c);
   }
   if ((r==32) && (c==32))
   {
      memcpy(f,random_sdp_32x32_f32,sizeof(float32_t)*r*c);
   }
}

void cmsis_init_cholesky(float64_t *f,const int r,const int c)
{
   if ((r==4) && (c==4))
   {
      copy_f32_to_f64(f,(float32_t*)random_sdp_4x4_f32,r*c);
   }
   if ((r==16) && (c==16))
   {
      copy_f32_to_f64(f,(float32_t*)random_sdp_16x16_f32,r*c);
   }
   if ((r==32) && (c==32))
   {
      copy_f32_to_f64(f,(float32_t*)random_sdp_32x32_f32,r*c);
   }
}

#if !defined(DISABLEFLOAT16)
void cmsis_init_cholesky(float16_t *f,const int r,const int c)
{
   if ((r==4) && (c==4))
   {
      copy_f32_to_f16(f,(float32_t*)random_sdp_4x4_f32,r*c);
   }
   if ((r==16) && (c==16))
   {
      copy_f32_to_f16(f,(float32_t*)random_sdp_16x16_f32,r*c);
   }
   if ((r==32) && (c==32))
   {
      copy_f32_to_f16(f,(float32_t*)random_sdp_32x32_f32,r*c);
   }
}
#endif

void cmsis_mat_mult(const arm_matrix_instance_f64* a,
                    const arm_matrix_instance_f64* b,
                          arm_matrix_instance_f64 *c,
                          float64_t * pState=nullptr)
{
   (void)pState;
   arm_mat_mult_f64(a,b,c);
}

void cmsis_mat_mult(const arm_matrix_instance_f32* a,
                    const arm_matrix_instance_f32* b,
                          arm_matrix_instance_f32 *c,
                          float32_t * pState=nullptr)
{
   (void)pState;
   arm_mat_mult_f32(a,b,c);
}

#if !defined(DISABLEFLOAT16)
void cmsis_mat_mult(const arm_matrix_instance_f16* a,
                    const arm_matrix_instance_f16* b,
                          arm_matrix_instance_f16 *c,
                          float16_t * pState=nullptr)
{
   (void)pState;
   arm_mat_mult_f16(a,b,c);
}
#endif

void cmsis_mat_mult(const arm_matrix_instance_q7* a,
                    const arm_matrix_instance_q7* b,
                          arm_matrix_instance_q7 *c,
                          q7_t *pState)
{
   arm_mat_mult_q7(a,b,c,pState);
}

void cmsis_mat_mult(const arm_matrix_instance_q15* a,
                    const arm_matrix_instance_q15* b,
                          arm_matrix_instance_q15 *c,
                          q15_t *pState)
{
   arm_mat_mult_q15(a,b,c,pState);
}

void cmsis_mat_mult(const arm_matrix_instance_q31* a,
                    const arm_matrix_instance_q31* b,
                          arm_matrix_instance_q31 *c,
                          q31_t *pState)
{
   (void)pState;
   arm_mat_mult_q31(a,b,c);
}

void cmsis_mat_trans(const arm_matrix_instance_q7* a,
                            arm_matrix_instance_q7* b)
{
   arm_mat_trans_q7(a,b);

}

void cmsis_mat_trans(const arm_matrix_instance_q15* a,
                            arm_matrix_instance_q15* b)
{
   arm_mat_trans_q15(a,b);

}

void cmsis_mat_trans(const arm_matrix_instance_q31* a,
                            arm_matrix_instance_q31* b)
{
   arm_mat_trans_q31(a,b);

}

void cmsis_mat_trans(const arm_matrix_instance_f64* a,
                            arm_matrix_instance_f64* b)
{
   arm_mat_trans_f64(a,b);
}

void cmsis_mat_trans(const arm_matrix_instance_f32* a,
                            arm_matrix_instance_f32* b)
{
   arm_mat_trans_f32(a,b);
}

#if !defined(DISABLEFLOAT16)
void cmsis_mat_trans(const arm_matrix_instance_f16* a,
                            arm_matrix_instance_f16* b)
{
   arm_mat_trans_f16(a,b);
}
#endif

float64_t cmsis_householder(const float64_t *src,float64_t* dst,uint32_t nb)
{
return arm_householder_f64(src,DEFAULT_HOUSEHOLDER_THRESHOLD_F64,nb,dst);
}


float32_t cmsis_householder(const float32_t *src,float32_t* dst,uint32_t nb)
{
return arm_householder_f32(src,DEFAULT_HOUSEHOLDER_THRESHOLD_F32,nb,dst);
}

#if !defined(DISABLEFLOAT16)
float16_t cmsis_householder(const float16_t *src,float16_t* dst,uint32_t nb)
{
return arm_householder_f16(src,DEFAULT_HOUSEHOLDER_THRESHOLD_F16,nb,dst);

}
#endif

arm_status cmsis_qr(
    const arm_matrix_instance_f64 * pSrc,
    const float64_t threshold,
    arm_matrix_instance_f64 * pOutR,
    arm_matrix_instance_f64 * pOutQ,
    float64_t * pOutTau,
    float64_t *pTmpA,
    float64_t *pTmpB
    )
{
return arm_mat_qr_f64(pSrc,threshold,
                       pOutR,pOutQ,
                       pOutTau,
                       pTmpA,
                       pTmpB);
}

arm_status cmsis_qr(
    const arm_matrix_instance_f32 * pSrc,
    const float32_t threshold,
    arm_matrix_instance_f32 * pOutR,
    arm_matrix_instance_f32 * pOutQ,
    float32_t * pOutTau,
    float32_t *pTmpA,
    float32_t *pTmpB
    )
{
return arm_mat_qr_f32(pSrc,threshold,
                       pOutR,pOutQ,
                       pOutTau,
                       pTmpA,
                       pTmpB);
}

#if !defined(DISABLEFLOAT16)
arm_status cmsis_qr(
    const arm_matrix_instance_f16 * pSrc,
    const float16_t threshold,
    arm_matrix_instance_f16 * pOutR,
    arm_matrix_instance_f16 * pOutQ,
    float16_t * pOutTau,
    float16_t *pTmpA,
    float16_t *pTmpB
    )
{
return arm_mat_qr_f16(pSrc,threshold,
                       pOutR,pOutQ,
                       pOutTau,
                       pTmpA,
                       pTmpB);
}
#endif

arm_status cmsis_cholesky(
  const arm_matrix_instance_f64 * src,
  arm_matrix_instance_f64 * dst)
{
  return arm_mat_cholesky_f64(src,dst);
}

arm_status cmsis_cholesky(
  const arm_matrix_instance_f32 * src,
  arm_matrix_instance_f32 * dst)
{
  return arm_mat_cholesky_f32(src,dst);
}

#if !defined(DISABLEFLOAT16)
arm_status cmsis_cholesky(
  const arm_matrix_instance_f16 * src,
  arm_matrix_instance_f16 * dst)
{
  return arm_mat_cholesky_f16(src,dst);

}
#endif



void cmsis_mat_vec_mult(
  const arm_matrix_instance_f32 *pSrcMat,
  const float32_t *pVec,
  float32_t *pDst)
{
arm_mat_vec_mult_f32(pSrcMat, pVec, pDst);
}

#if !defined(DISABLEFLOAT16)
void cmsis_mat_vec_mult(
  const arm_matrix_instance_f16 *pSrcMat,
  const float16_t *pVec,
  float16_t *pDst)
{
  arm_mat_vec_mult_f16(pSrcMat, pVec, pDst);

}
#endif

void cmsis_mat_vec_mult(
  const arm_matrix_instance_q31 *pSrcMat,
  const Q31 *pVec,
  Q31 *pDst)
{
arm_mat_vec_mult_q31(pSrcMat,
   reinterpret_cast<const q31_t*>(pVec),
   reinterpret_cast<q31_t*>(pDst));
}

void cmsis_mat_vec_mult(
  const arm_matrix_instance_q15 *pSrcMat,
  const Q15 *pVec,
  Q15 *pDst)
{
arm_mat_vec_mult_q15(pSrcMat,
   reinterpret_cast<const q15_t*>(pVec),
   reinterpret_cast<q15_t*>(pDst));
}

void cmsis_mat_vec_mult(
  const arm_matrix_instance_q7 *pSrcMat,
  const Q7 *pVec,
  Q7 *pDst)
{
arm_mat_vec_mult_q7(pSrcMat,
   reinterpret_cast<const q7_t*>(pVec),
   reinterpret_cast<q7_t*>(pDst));
}

extern void cmsis_complex_mat_vec(
  const arm_matrix_instance_f32 * src,
  const float32_t * a,
  const float32_t * b,
  const float32_t scalar,
  float32_t * tmp,
  float32_t * dst)
{
   arm_scale_f32(b,scalar,tmp,src->numCols);
   arm_add_f32(a,tmp,tmp,src->numCols);
   arm_mat_vec_mult_f32(src, tmp, dst);
}

#if !defined(DISABLEFLOAT16)
extern void cmsis_complex_mat_vec(
  const arm_matrix_instance_f16 * src,
  const float16_t * a,
  const float16_t * b,
  const float16_t scalar,
  float16_t * tmp,
  float16_t * dst)
{
   arm_scale_f16(b,scalar,tmp,src->numCols);
   arm_add_f16(a,tmp,tmp,src->numCols);
   arm_mat_vec_mult_f16(src, tmp, dst);
}
#endif

extern void cmsis_complex_mat_vec(
  const arm_matrix_instance_q31 * src,
  const Q31 * a,
  const Q31 * b,
  const Q31 scalar,
  Q31 * tmp,
  Q31 * dst)
{
   arm_scale_q31(reinterpret_cast<const q31_t*>(b),
                 scalar.v,0,
                 reinterpret_cast<q31_t*>(tmp),src->numCols);
   arm_add_q31(reinterpret_cast<const q31_t*>(a),
               reinterpret_cast<const q31_t*>(tmp),
               reinterpret_cast<q31_t*>(tmp),src->numCols);
   arm_mat_vec_mult_q31(src,
                        reinterpret_cast<const q31_t*>(tmp),
                        reinterpret_cast<q31_t*>(dst));
}

extern void cmsis_complex_mat_vec(
  const arm_matrix_instance_q15 * src,
  const Q15 * a,
  const Q15 * b,
  const Q15 scalar,
  Q15 * tmp,
  Q15 * dst)
{
   arm_scale_q15(reinterpret_cast<const q15_t*>(b),
                 scalar.v,0,
                 reinterpret_cast<q15_t*>(tmp),src->numCols);
   arm_add_q15(reinterpret_cast<const q15_t*>(a),
               reinterpret_cast<const q15_t*>(tmp),
               reinterpret_cast<q15_t*>(tmp),src->numCols);
   arm_mat_vec_mult_q15(src,
                        reinterpret_cast<const q15_t*>(tmp),
                        reinterpret_cast<q15_t*>(dst));
}

extern void cmsis_complex_mat_vec(
  const arm_matrix_instance_q7 * src,
  const Q7 * a,
  const Q7 * b,
  const Q7 scalar,
  Q7 * tmp,
  Q7 * dst)
{
   arm_scale_q7(reinterpret_cast<const q7_t*>(b),
                 scalar.v,0,
                 reinterpret_cast<q7_t*>(tmp),src->numCols);
   arm_add_q7(reinterpret_cast<const q7_t*>(a),
               reinterpret_cast<const q7_t*>(tmp),
               reinterpret_cast<q7_t*>(tmp),src->numCols);
   arm_mat_vec_mult_q7(src,
                        reinterpret_cast<const q7_t*>(tmp),
                        reinterpret_cast<q7_t*>(dst));
}