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📄 cxmatrix.cpp

📁 opencv库在TI DM6437上的移植,目前包括两个库cv.lib和cxcore.lib的工程
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        }

        if( size.width <= CV_MAX_LOCAL_MAT_SIZE )
        {
            buffer = (uchar*)cvStackAlloc( buf_size );
            local_alloc = 1;
        }
        else
        {
            CV_CALL( buffer = (uchar*)cvAlloc( buf_size ));
        }

        CV_CALL( cvInitMatHeader( &tmat, size.height, size.width, worktype, buffer ));
        if( type == worktype )
        {
            CV_CALL( cvCopy( src, &tmat ));
        }
        else
            CV_CALL( cvConvert( src, &tmat ));
        CV_CALL( cvSetIdentity( dst ));

        decomp_func = (CvLUDecompFunc)(lu_decomp_tab.fn_2d[CV_MAT_DEPTH(type)-CV_32F]);
        back_func = (CvLUBackFunc)(lu_back_tab.fn_2d[CV_MAT_DEPTH(type)-CV_32F]);
        assert( decomp_func && back_func );

        IPPI_CALL( decomp_func( tmat.data.db, tmat.step, size,
                                dst->data.ptr, dst->step, size, &result ));

        if( result != 0 )
        {
            IPPI_CALL( back_func( tmat.data.db, tmat.step, size,
                                  dst->data.ptr, dst->step, size ));
        }
    }

    if( !result )
        CV_CALL( cvSetZero( dst ));

    __END__;

    if( buffer && !local_alloc )
        cvFree( &buffer );

    if( u || v || w )
    {
        cvReleaseMat( &u );
        cvReleaseMat( &v );
        cvReleaseMat( &w );
    }

    return result;
}


/****************************************************************************************\
*                               Linear system [least-squares] solution                   *
\****************************************************************************************/

CV_IMPL int
cvSolve( const CvArr* A, const CvArr* b, CvArr* x, int method )
{
    CvMat* u = 0;
    CvMat* v = 0;
    CvMat* w = 0;

    uchar* buffer = 0;
    int local_alloc = 0;
    int result = 1;

    CV_FUNCNAME( "cvSolve" );

    __BEGIN__;

    CvMat sstub, *src = (CvMat*)A;
    CvMat dstub, *dst = (CvMat*)x;
    CvMat bstub, *src2 = (CvMat*)b;
    int type;

    if( !CV_IS_MAT( src ))
        CV_CALL( src = cvGetMat( src, &sstub ));

    if( !CV_IS_MAT( src2 ))
        CV_CALL( src2 = cvGetMat( src2, &bstub ));

    if( !CV_IS_MAT( dst ))
        CV_CALL( dst = cvGetMat( dst, &dstub ));

    if( method == CV_SVD || method == CV_SVD_SYM )
    {
        int n = MIN(src->rows,src->cols);

        if( method == CV_SVD_SYM && src->rows != src->cols )
            CV_ERROR( CV_StsBadSize, "CV_SVD_SYM method is used for non-square matrix" );

        CV_CALL( u = cvCreateMat( n, src->rows, src->type ));
        if( method != CV_SVD_SYM )
            CV_CALL( v = cvCreateMat( n, src->cols, src->type ));
        CV_CALL( w = cvCreateMat( n, 1, src->type ));
        CV_CALL( cvSVD( src, w, u, v, CV_SVD_U_T + CV_SVD_V_T ));
        CV_CALL( cvSVBkSb( w, u, v ? v : u, src2, dst, CV_SVD_U_T + CV_SVD_V_T ));
        EXIT;
    }
    else if( method != CV_LU )
        CV_ERROR( CV_StsBadArg, "Unknown inversion method" );

    type = CV_MAT_TYPE( src->type );

    if( !CV_ARE_TYPES_EQ( src, dst ) || !CV_ARE_TYPES_EQ( src, src2 ))
        CV_ERROR( CV_StsUnmatchedFormats, "" );

    if( src->width != src->height )
        CV_ERROR( CV_StsBadSize, "The matrix must be square" );

    if( !CV_ARE_SIZES_EQ( src2, dst ) || src->width != src2->height )
        CV_ERROR( CV_StsUnmatchedSizes, "" );

    if( type != CV_32FC1 && type != CV_64FC1 )
        CV_ERROR( CV_StsUnsupportedFormat, "" );

    // check case of a single equation and small matrix
    if( src->width <= 3 && src2->width == 1 )
    {
        #define bf(y) ((float*)(bdata + y*src2step))[0]
        #define bd(y) ((double*)(bdata + y*src2step))[0]

        uchar* srcdata = src->data.ptr;
        uchar* bdata = src2->data.ptr;
        uchar* dstdata = dst->data.ptr;
        int srcstep = src->step;
        int src2step = src2->step;
        int dststep = dst->step;

        if( src->width == 2 )
        {
            if( type == CV_32FC1 )
            {
                double d = det2(Sf);
                if( d != 0. )
                {
                    float t;
                    d = 1./d;
                    t = (float)((bf(0)*Sf(1,1) - bf(1)*Sf(0,1))*d);
                    Df(1,0) = (float)((bf(1)*Sf(0,0) - bf(0)*Sf(1,0))*d);
                    Df(0,0) = t;
                }
                else
                    result = 0;
            }
            else
            {
                double d = det2(Sd);
                if( d != 0. )
                {
                    double t;
                    d = 1./d;
                    t = (bd(0)*Sd(1,1) - bd(1)*Sd(0,1))*d;
                    Dd(1,0) = (bd(1)*Sd(0,0) - bd(0)*Sd(1,0))*d;
                    Dd(0,0) = t;
                }
                else
                    result = 0;
            }
        }
        else if( src->width == 3 )
        {
            if( type == CV_32FC1 )
            {
                double d = det3(Sf);
                if( d != 0. )
                {
                    float t[3];
                    d = 1./d;

                    t[0] = (float)(d*
                           (bf(0)*(Sf(1,1)*Sf(2,2) - Sf(1,2)*Sf(2,1)) -
                            Sf(0,1)*(bf(1)*Sf(2,2) - Sf(1,2)*bf(2)) +
                            Sf(0,2)*(bf(1)*Sf(2,1) - Sf(1,1)*bf(2))));

                    t[1] = (float)(d*
                           (Sf(0,0)*(bf(1)*Sf(2,2) - Sf(1,2)*bf(2)) -
                            bf(0)*(Sf(1,0)*Sf(2,2) - Sf(1,2)*Sf(2,0)) +
                            Sf(0,2)*(Sf(1,0)*bf(2) - bf(1)*Sf(2,0))));

                    t[2] = (float)(d*
                           (Sf(0,0)*(Sf(1,1)*bf(2) - bf(1)*Sf(2,1)) -
                            Sf(0,1)*(Sf(1,0)*bf(2) - bf(1)*Sf(2,0)) +
                            bf(0)*(Sf(1,0)*Sf(2,1) - Sf(1,1)*Sf(2,0))));

                    Df(0,0) = t[0];
                    Df(1,0) = t[1];
                    Df(2,0) = t[2];
                }
                else
                    result = 0;
            }
            else
            {
                double d = det3(Sd);
                if( d != 0. )
                {
                    double t[9];

                    d = 1./d;
                    
                    t[0] = ((Sd(1,1) * Sd(2,2) - Sd(1,2) * Sd(2,1))*bd(0) +
                            (Sd(0,2) * Sd(2,1) - Sd(0,1) * Sd(2,2))*bd(1) +
                            (Sd(0,1) * Sd(1,2) - Sd(0,2) * Sd(1,1))*bd(2))*d;

                    t[1] = ((Sd(1,2) * Sd(2,0) - Sd(1,0) * Sd(2,2))*bd(0) +
                            (Sd(0,0) * Sd(2,2) - Sd(0,2) * Sd(2,0))*bd(1) +
                            (Sd(0,2) * Sd(1,0) - Sd(0,0) * Sd(1,2))*bd(2))*d;

                    t[2] = ((Sd(1,0) * Sd(2,1) - Sd(1,1) * Sd(2,0))*bd(0) +
                            (Sd(0,1) * Sd(2,0) - Sd(0,0) * Sd(2,1))*bd(1) +
                            (Sd(0,0) * Sd(1,1) - Sd(0,1) * Sd(1,0))*bd(2))*d;

                    Dd(0,0) = t[0];
                    Dd(1,0) = t[1];
                    Dd(2,0) = t[2];
                }
                else
                    result = 0;
            }
        }
        else
        {
            assert( src->width == 1 );

            if( type == CV_32FC1 )
            {
                double d = Sf(0,0);
                if( d != 0. )
                    Df(0,0) = (float)(bf(0)/d);
                else
                    result = 0;
            }
            else
            {
                double d = Sd(0,0);
                if( d != 0. )
                    Dd(0,0) = (bd(0)/d);
                else
                    result = 0;
            }
        }
    }
    else
    {
        CvLUDecompFunc decomp_func;
        CvLUBackFunc back_func;
        CvSize size = cvGetMatSize( src );
        CvSize dstsize = cvGetMatSize( dst );
        int worktype = CV_64FC1;
        int buf_size = size.width*size.height*CV_ELEM_SIZE(worktype);
        double d = 0;
        CvMat tmat;

        if( !lu_inittab )
        {
            icvInitLUTable( &lu_decomp_tab, &lu_back_tab );
            lu_inittab = 1;
        }

        if( size.width <= CV_MAX_LOCAL_MAT_SIZE )
        {
            buffer = (uchar*)cvStackAlloc( buf_size );
            local_alloc = 1;
        }
        else
        {
            CV_CALL( buffer = (uchar*)cvAlloc( buf_size ));
        }

        CV_CALL( cvInitMatHeader( &tmat, size.height, size.width, worktype, buffer ));
        if( type == worktype )
        {
            CV_CALL( cvCopy( src, &tmat ));
        }
        else
            CV_CALL( cvConvert( src, &tmat ));

        if( src2->data.ptr != dst->data.ptr )
        {
            CV_CALL( cvCopy( src2, dst ));
        }

        decomp_func = (CvLUDecompFunc)(lu_decomp_tab.fn_2d[CV_MAT_DEPTH(type)-CV_32F]);
        back_func = (CvLUBackFunc)(lu_back_tab.fn_2d[CV_MAT_DEPTH(type)-CV_32F]);
        assert( decomp_func && back_func );

        IPPI_CALL( decomp_func( tmat.data.db, tmat.step, size,
                                dst->data.ptr, dst->step, dstsize, &d ));

        if( d != 0 )
        {
            IPPI_CALL( back_func( tmat.data.db, tmat.step, size,
                                  dst->data.ptr, dst->step, dstsize ));
        }
        else
            result = 0;
    }

    if( !result )
        CV_CALL( cvSetZero( dst ));

    __END__;

    if( buffer && !local_alloc )
        cvFree( &buffer );

    if( u || v || w )
    {
        cvReleaseMat( &u );
        cvReleaseMat( &v );
        cvReleaseMat( &w );
    }

    return result;
}



/****************************************************************************************\
*                               3D vector cross-product                                  *
\****************************************************************************************/

CV_IMPL void
cvCrossProduct( const CvArr* srcAarr, const CvArr* srcBarr, CvArr* dstarr )
{
    CV_FUNCNAME( "cvCrossProduct" );

    __BEGIN__;

    CvMat stubA, *srcA = (CvMat*)srcAarr;
    CvMat stubB, *srcB = (CvMat*)srcBarr;
    CvMat dstub, *dst = (CvMat*)dstarr;
    int type;

    if( !CV_IS_MAT(srcA))
        CV_CALL( srcA = cvGetMat( srcA, &stubA ));

    type = CV_MAT_TYPE( srcA->type );

    if( srcA->width*srcA->height*CV_MAT_CN(type) != 3 )
        CV_ERROR( CV_StsBadArg, "All the input arrays must be continuous 3-vectors" );

    if( !srcB || !dst )
        CV_ERROR( CV_StsNullPtr, "" );

    if( (srcA->type & ~CV_MAT_CONT_FLAG) == (srcB->type & ~CV_MAT_CONT_FLAG) &&
        (srcA->type & ~CV_MAT_CONT_FLAG) == (dst->type & ~CV_MAT_CONT_FLAG) )
    {
        if( !srcB->data.ptr || !dst->data.ptr )
            CV_ERROR( CV_StsNullPtr, "" );

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