Polynomial reading (Scilab gateway)

How to read matrices of polynomials in a gateway.

Calling Sequence

Input argument profile:

SciErr getMatrixOfPoly(void* _pvCtx, int* _piAddress, int* _piRows, int* _piCols, int* _piNbCoef, double** _pdblReal)
SciErr getComplexMatrixOfPoly(void* _pvCtx, int* _piAddress, int* _piRows, int* _piCols, int* _piNbCoef, double** _pdblReal, double** _pdblImg)

Named variable profile:

SciErr readNamedMatrixOfPoly(void* _pvCtx, const char* _pstName, int* _piRows, int* _piCols, int* _piNbCoef, double** _pdblReal)
SciErr readNamedComplexMatrixOfPoly(void* _pvCtx, const char* _pstName, int* _piRows, int* _piCols, int* _piNbCoef, double** _pdblReal, double** _pdblImg)

Arguments

:_pvCtx Scilab environment pointer, pass in “pvApiCtx” provided by
api_scilab.h.

: :_piAddress Address of the Scilab variable. : :_pstName Name of the variable for “named” functions. : :_piRows Return number of rows. : :_piCols Return number of columns. : :_piNbCoef Return number of coefficient for each polynomial. (must

be allocated)
: :_pdblReal Address of array of double* with imaginary part of
coefficient (size: _iCols * _iRows, must be allocated)
: :_pdblImg Address of array of double* with imaginary part of
coefficient (size: _iCols * _iRows, must be allocated)
: :SciErr Error structure where is stored errors messages history and
first error number.

:

Description

This help describes how matrix of polynomials can be handled through the Scilab API.

Gateway Source

#include "api_scilab.h"
int read_poly(char *fname,unsigned long fname_len)
{
    SciErr sciErr;
    int i,j;
    //variable info
    int iRows                       = 0;
    int iCols                       = 0;
    int iVarLen                     = 0;
    int* piAddr                     = NULL;
    int* piNbCoef           = NULL;
    double** pdblReal       = NULL;
    double** pdblImg        = NULL;
    char* pstVarname        = NULL;

    //check input and output arguments
    CheckInputArgument(pvApiCtx, 1, 1);
    CheckOutputArgument(pvApiCtx, 1, 1);

    sciErr = getVarAddressFromPosition(pvApiCtx, 1, &piAddr);
    if(sciErr.iErr)
    {
            printError(&sciErr, 0);
            return 0;
    }

    if(isVarComplex(pvApiCtx, piAddr) == FALSE)
    {
            //Error
            return 0;
    }

    //get variable name length
    sciErr = getPolyVariableName(pvApiCtx, piAddr, NULL, &iVarLen);
    if(sciErr.iErr)
    {
            printError(&sciErr, 0);
            return 0;
    }

    //alloc buff to receive variable name
    pstVarname = (char*)malloc(sizeof(char) * (iVarLen + 1));//1 for null termination

    //get variable name
    sciErr = getPolyVariableName(pvApiCtx, piAddr, pstVarname, &iVarLen);
    if(sciErr.iErr)
    {
            printError(&sciErr, 0);
            return 0;
    }

    //First call: retrieve dimmension
    sciErr = getComplexMatrixOfPoly(pvApiCtx, piAddr, &iRows, &iCols, NULL, NULL, NULL);
    if(sciErr.iErr)
    {
            printError(&sciErr, 0);
            return 0;
    }

    //alloc array of coefficient
    piNbCoef = (int*)malloc(sizeof(int) * iRows * iCols);

    //Second call: retrieve coefficient
    sciErr = getComplexMatrixOfPoly(pvApiCtx, piAddr, &iRows, &iCols, piNbCoef, NULL, NULL);
    if(sciErr.iErr)
    {
            printError(&sciErr, 0);
            return 0;
    }

    //alloc arrays of data
    pdblReal    = (double**)malloc(sizeof(double*) * iRows * iCols);
    pdblImg     = (double**)malloc(sizeof(double*) * iRows * iCols);

    for(i = 0 ; i < iRows * iCols ; i++)
    {
            pdblReal[i] = (double*)malloc(sizeof(double) * piNbCoef[i]);
            pdblImg[i] = (double*)malloc(sizeof(double) * piNbCoef[i]);
    }

    //Third call: retrieve data
    sciErr = getComplexMatrixOfPoly(pvApiCtx, piAddr, &iRows, &iCols, piNbCoef, pdblReal, pdblImg);
    if(sciErr.iErr)
    {
            printError(&sciErr, 0);
            return 0;
    }

    //Do something with Data
    //Invert polynomials in the matrix and invert coefficients
    for(i = 0 ; i < (iRows * iCols) / 2 ; i++)
    {
            int iPos1                       = iRows * iCols - 1 - i;
            double* pdblSave        = NULL;
            int iNbCoefSave         = 0;
            //switch array of coefficient
            pdblSave                        = pdblReal[i];
            pdblReal[i]                     = pdblReal[iPos1];
            pdblReal[iPos1]         = pdblSave;
            pdblSave                        = pdblImg[i];
            pdblImg[i]                      = pdblImg[iPos1];
            pdblImg[iPos1]          = pdblSave;
            //switch number of coefficient
            iNbCoefSave                     = piNbCoef[i];
            piNbCoef[i]                     = piNbCoef[iPos1];
            piNbCoef[iPos1]         = iNbCoefSave;
    }

    //switch coefficient
    for(i = 0 ; i < iRows * iCols ; i++)
    {
            for(j = 0 ; j < piNbCoef[i] /2 ; j++)
            {
                    int iPos2                       = piNbCoef[i] - 1 - j;
                    double dblVal           = pdblReal[i][j];
                    pdblReal[i][j]          = pdblReal[i][iPos2];
                    pdblReal[i][iPos2]      = dblVal;
                    dblVal                          = pdblImg[i][j];
                    pdblImg[i][j]           = pdblImg[i][iPos2];
                    pdblImg[i][iPos2]       = dblVal;
            }
    }

    sciErr = createComplexMatrixOfPoly(pvApiCtx, nbInputArgument + 1, pstVarname, iRows, iCols, piNbCoef, pdblReal, pdblImg);
    if(sciErr.iErr)
    {
            printError(&sciErr, 0);
            return 0;
    }

    //free OS memory
    free(pstVarname);
    free(piNbCoef);
    for(i = 0 ; i < iRows * iCols ; i++)
    {
            free(pdblReal[i]);
            free(pdblImg[i]);
    }
    free(pdblReal);
    free(pdblImg);
    //assign allocated variables to Lhs position
    AssignOutputVariable(1) = nbInputArgument + 1;
    return 0;
}

Scilab test script

coeff1 = [ ..
29*%i,22*%i,16*%i,11*%i,7*%i,30,23,17,12,8,-31*%i,-24*%i,-18*%i,-13*%i,-9*%i,32,25,19,14,10,-33*%i,-26*%i,-20*%i,-15*%i,0,34,27,21,0,0,0,-28*%i,0,0,0,36-35*%i,0,0,0,0; ..
4*%i,2*%i,%i,22,16,5,-3,0,-23*%i,-17*%i,-6*%i,0,0,24,18,0,0,0,-25*%i,-19*%i,0,0,0,26,20,0,0,0,-27*%i,-21*%i,0,0,0,28,0,0,0,0,0,0; ..
11,7,4,2,1,-12*%i,-8*%i,-5*%i,3*%i,0,13,9,6,0,0,-14*%i,-10*%i,0,0,0,15,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]

x = `poly`_(0, "x");
p1  = 1;
p2  = 2 * x + 3 * %i;
p3  = 4 * x**2 - 5 * %i * x + 6;
p4  = 7 * x**3 - 8 * %i * x**2 + 9 * x - 10 * %i;
p5  = 11 * x**4 - 12 * %i * x**3 + 13 * x**2 - 14 * %i * x + 15;
p6  = 16 * x**5 - 17 * %i * x**4 + 18 * x**3 - 19 * %i * x**2 + 20 * x  - 21 * %i;
p7  = 22 * x**6 - 23 * %i * x**5 + 24 * x**4 - 25 * %i * x**3 + 26 * x**2 - 27 * %i * x + 28;
p8  = %i;
p9  = 2 * %i * x - 3;
p10 = 4 * %i * x**2 + 5 * x - 6 * %i;
p11 = 7 * %i * x**3 + 8 * x**2 - 9 * %i * x + 10;
p12 = 11 * %i * x**4 + 12 * x**3 - 13 * %i * x**2 + 14 * x - 15 * %i;
p13 = 16 * %i * x**5 + 17 * x**4 - 18 * %i * x**3 + 19 * x**2 - 20 * %i * x  + 21;
p14 = 22 * %i * x**6 + 23 * x**5 - 24 * %i * x**4 + 25 * x**3 - 26 * %i * x**2 + 27 * x - 28 * %i;
p15 = 29 * %i * x**7 + 30 * x**6 - 31 * %i * x**5 + 32 * x**4 - 33 * %i * x**3 + 34 * x**2 - 35 * %i + 36;
p = [p1, p2, p3, p4, p5 ; p6, p7, p8, p9 ,p10 ; p11, p12, p13, p14, p15];

p1 = read_poly(p);
coeff2 = `coeff`_(p1);
if `or`_(coeff2 <> coeff1) then `error`_("failed"), end

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